-
It is important to study the behavior of a t-error correcting quantum code when the number of errors is greater than t, because it is likely that there are also small errors besides t large correctable errors. We give a lower bound for the fidelity of a t-erro…
arxiv
Ryutaroh Matsumoto
2000-11-13T08:15:56Z
置信度 0.78
quant-ph
-
Encoding information redundantly using quantum error-correcting (QEC) codes allows one to overcome the inherent sensitivity to noise in quantum computers to ultimately achieve large-scale quantum computation. The Steane QEC method involves preparing an auxilia…
arxiv
Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak 等
2023-12-15T12:32:49Z
置信度 0.78
quant-ph
-
Majorana-based quantum computing seeks to use the non-local nature of Majorana zero modes to store and manipulate quantum information in a topologically protected way. While noise is anticipated to be significantly suppressed in such systems, finite temperatur…
arxiv
Christina Knapp, Michael Beverland, Dmitry I. Pikulin, Torsten Karzig
2018-06-04T18:00:00Z
置信度 0.78
quant-phcond-mat.mes-hallcond-mat.supr-con
-
We consider compound as well as arbitrarily varying classical-quantum channel models. For classical-quantum compound channels, we give an elementary proof of the direct part of the coding theorem. A weak converse under average error criterion to this statement…
arxiv
Igor Bjelaković, Holger Boche, Gisbert Janßen, Janis Nötzel
2012-09-27T18:34:48Z
置信度 0.78
quant-phcs.IT
-
I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode $k=n-j-2$ qubits in $n=2^j$ qubits and correct $t=1$ error.
arxiv
Daniel Gottesman
1996-04-29T18:08:41Z
置信度 0.78
quant-ph
-
Suppose we want to implement a unitary $U$, for instance a circuit for some quantum algorithm. Suppose our actual implementation is a unitary $\tilde{U}$, which we can only apply as a black-box. In general it is an exponentially-hard task to decide whether $\t…
arxiv
Noah Linden, Ronald de Wolf
2020-09-18T13:53:50Z
置信度 0.78
quant-ph
-
Operator quantum error correction provides a unified framework for the known techniques of quantum error correction such as the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method. We first show an exam…
arxiv
Ri Qu, Bing-jian Shang, Yan-ru Bao, Yi-ping Ma
2014-01-02T15:24:29Z
置信度 0.78
quant-ph
-
Due to numerous limitations including restrictive qubit topologies, short coherence times and prohibitively high noise floors, few quantum chemistry experiments performed on existing noisy intermediate-scale quantum hardware have achieved the high bar of chemi…
arxiv
Tim Weaving, Alexis Ralli, William M. Kirby, Peter J. Love 等
2023-03-01T12:08:50Z
置信度 0.78
quant-ph
-
Quantum computers have the potential to change the way we solve computational problems. Due to the noisy nature of qubits, the need arises to correct physical errors occurring during computation. The surface code is a promising candidate for such error correct…
arxiv
Gyorgy P. Geher, Ophelia Crawford, Earl T. Campbell
2023-07-19T17:21:50Z
置信度 0.78
quant-ph
-
Quantum error correction (QEC) and fault-tolerant quantum computation represent one of the most vital theoretical aspect of quantum information processing. It was well known from the early developments of this exciting field that the fragility of coherent quan…
arxiv
Simon J. Devitt, Kae Nemoto, William J. Munro
2009-05-18T03:26:04Z
置信度 0.78
quant-ph
-
A central goal in quantum error correction is to reduce the overhead of fault-tolerant quantum computing by increasing noise thresholds and reducing the number of physical qubits required to sustain a logical qubit. We introduce a potential path towards this g…
arxiv
Ali Fahimniya, Hossein Dehghani, Kishor Bharti, Sheryl Mathew 等
2023-09-18T18:00:02Z
置信度 0.78
quant-ph
-
Quantum error correction (QEC) codes are traditionally defined and searched for without specifying the manner in which its syndrome extraction circuits are executed using elementary gates and measurements. We show how morphing circuits introduced in Refs. [1-3…
arxiv
Mackenzie H. Shaw, Barbara M. Terhal
2026-04-10T18:19:25Z
置信度 0.78
quant-ph
-
In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and crosstalk. These errors p…
arxiv
Avimita Chatterjee, Koustubh Phalak, Swaroop Ghosh
2023-04-18T01:08:17Z
置信度 0.78
quant-ph
-
We show how procedures which can correct phase and amplitude errors can be directly applied to correct errors due to quantum entanglement. We specify general criteria for quantum error correction, introduce quantum versions of the Hamming and the Gilbert-Varsh…
arxiv
A. Ekert, C. Macchiavello
1996-02-29T10:15:11Z
置信度 0.78
quant-ph
-
We implement a quantum error correction algorithm for bit-flip errors on the topological toric code using deep reinforcement learning. An action-value Q-function encodes the discounted value of moving a defect to a neighboring site on the square grid (the acti…
arxiv
Philip Andreasson, Joel Johansson, Simon Liljestrand, Mats Granath
2018-11-29T17:38:37Z
置信度 0.78
quant-phcond-mat.dis-nn
-
Quantum error correction protocols will play a central role in the realisation of quantum computing; the choice of error correction code will influence the full quantum computing stack, from the layout of qubits at the physical level to gate compilation strate…
arxiv
Joschka Roffe
2019-07-25T16:01:44Z
置信度 0.78
quant-ph
-
Active quantum error correction using qubit stabilizer codes has emerged as a promising, but experimentally challenging, engineering program for building a universal quantum computer. In this review we consider the formalism of qubit stabilizer and subsystem s…
arxiv
Barbara M. Terhal
2013-02-14T15:20:12Z
置信度 0.78
quant-ph
-
In this paper we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states. Our key result is an improvement in resource efficiency when local information is taken into a…
arxiv
Michael Hanks, William J. Munro, Kae Nemoto
2019-12-20T04:23:06Z
置信度 0.78
quant-ph
-
The theory of quantum error correction was established more than a decade ago as the primary tool for fighting decoherence in quantum information processing. Although great progress has already been made in this field, limited methods are available in construc…
arxiv
Zhuo Wang, Kai Sun, Hen Fan, Vlatko Vedral
2009-09-28T14:18:04Z
置信度 0.78
quant-ph
-
I give an overview of the basic concepts behind quantum error correction and quantum fault tolerance. This includes the quantum error correction conditions, stabilizer codes, CSS codes, transversal gates, fault-tolerant error correction, and the threshold theo…
arxiv
Daniel Gottesman
2005-07-18T21:29:44Z
置信度 0.78
quant-ph
-
The most general method for encoding quantum information is not to encode the information into a subspace of a Hilbert space, but to encode information into a subsystem of a Hilbert space. Recently this notion has led to a more general notion of quantum error …
arxiv
Dave Bacon
2005-06-02T18:45:44Z
置信度 0.78
quant-phcond-mat.str-el
-
As quantum computing moves toward fault-tolerant architectures, quantum error correction (QEC) decoder performance is increasingly critical for scalability. Understanding the impact of transitioning from floating-point software to finite-precision hardware is …
arxiv
Francisco Garcia-Herrero, Javier Valls, Llanos Vergara-Picazo, Vicente Torres
2025-04-01T20:04:27Z
置信度 0.78
quant-ph
-
Quantum metrology aims to maximize measurement precision on quantum systems, with a wide range of applications in quantum sensing. Achieving the Heisenberg limit (HL) - the fundamental precision bound set by quantum mechanics - is often hindered by noise-induc…
arxiv
Zachary Mann, Ningping Cao, Raymond Laflamme, Sisi Zhou
2025-03-10T18:01:34Z
置信度 0.78
quant-ph
-
Quantum error-correction routines are developed for continuous quantum variables such as position and momentum. The result of such analog quantum error correction is the construction of composite continuous quantum variables that are largely immune to the effe…
arxiv
Seth Lloyd, Jean-Jacques E. Slotine
1997-11-15T20:41:19Z
置信度 0.78
quant-ph
-
The concept of quantum interleaver and a simple method of quantum burst-error correction is proposed. By using the quantum interleaver, any quantum burst-errors that have occurred spread over the interleaved code word, so that we can construct good quantum bur…
arxiv
Shiro Kawabata
2000-02-07T13:59:49Z
置信度 0.78
quant-phcond-mat
-
The task of preserving entanglement against noises is of crucial importance for both quantum communication and quantum information transfer. To this aim, quantum error correction (QEC) codes may be employed to compensate, at least partially, the detriments ind…
arxiv
Alessio Morea, Michele N. Notarnicola, Stefano Olivares
2022-11-21T09:37:31Z
置信度 0.78
quant-ph
-
The development of robust architectures capable of large-scale fault-tolerant quantum computation should consider both their quantum error-correcting codes, and the underlying physical qubits upon which they are built, in tandem. Following this design principl…
arxiv
Andrew S. Darmawan, Benjamin J. Brown, Arne L. Grimsmo, David K. Tuckett 等
2021-04-19T18:01:21Z
置信度 0.78
quant-ph
-
Recent years have witnessed a controversy over Heisenberg's famous error-disturbance relation. Here we resolve the conflict by way of an analysis of the possible conceptualizations of measurement error and disturbance in quantum mechanics. We discuss two appro…
arxiv
Paul Busch, Pekka Lahti, Reinhard F Werner
2013-12-16T15:07:04Z
置信度 0.78
quant-ph
-
Silicon spin qubits have emerged as a promising qubit technology due to their favorable scaling and fabrication properties. However, efficiently compiling quantum circuits onto spin qubit platforms remains challenging, particularly when accounting for hardware…
arxiv
Julian Shen, Ludwig Schmid, Robert Wille
2026-07-08T18:05:06Z
置信度 0.78
quant-phcs.ET
-
We propose a unifying paradigm for analyzing and constructing topological quantum error correcting codes as dynamical circuits of geometrically local channels and measurements. To this end, we relate such circuits to discrete fixed-point path integrals in Eucl…
arxiv
Andreas Bauer
2023-03-29T02:32:18Z
置信度 0.78
quant-phcond-mat.str-el
-
Synthetic data generation is widely known to boost the accuracy of neural grammatical error correction (GEC) systems, but existing methods often lack diversity or are too simplistic to generate the broad range of grammatical errors made by human writers. In th…
arxiv
Felix Stahlberg, Shankar Kumar
2021-05-27T17:17:21Z
置信度 0.78
cs.CL
-
We show that a subset of the basis for the irreducible representations of a tensor-product SU(2) rotation forms a covariant approximate quantum error-correcting code with transversal U(1) logical gates. Generalizing previous work on ``thermodynamic codes" to g…
arxiv
Cheng-Ju Lin, Zi-Wen Liu, Victor V. Albert, Alexey V. Gorshkov
2024-09-30T17:59:01Z
置信度 0.78
quant-ph
-
We propose a quantum error correction without error detection. A quantum state $ρ_0$ combined with an ancilla state $σ$ is encoded unitarily and an error operator is applied on the encoded state. The recovery operation then produces a tensor product state $ρ_0…
arxiv
Hiroyuki Tomita, Mikio Nakahara
2011-01-02T16:14:09Z
置信度 0.78
quant-ph
-
Fault tolerant protocol assumes the application of error correction after every quantum gate. However, correcting errors is costly in terms of time and number of qubits. Here we demonstrate that quantum error correction can be applied significantly less often …
arxiv
Yaakov S. Weinstein
2013-12-04T17:03:42Z
置信度 0.78
quant-ph
-
openalex
Daniel Gottesman
2002-01-01
置信度 0.72
QuantumComputer scienceMathematicsAlgorithmPhysics
-
Abstract Quantum computing can become scalable through error correction, but logical error rates only decrease with system size when physical errors are sufficiently uncorrelated. During computation, unused high energy levels of the qubits can become excited, …
openalex
Matt McEwen
2021-03-19
置信度 0.72
TransmonQubitError detection and correctionQuantum error correctionQuantum computer
-
We critically examine the internal consistency of a set of minimal assumptions entering the theory of fault-tolerant quantum error correction for Markovian noise. These assumptions are fast gates, a constant supply of fresh and cold ancillas, and a Markovian b…
openalex
Robert Alicki, Daniel A. Lidar, Paolo Zanardi
2006-05-15
置信度 0.72
Limit (mathematics)QuantumMarkov processStatistical physicsCoupling (piping)
-
We describe an implementation of quantum error correction that operates continuously in time and requires no active interventions such as measurements or gates. The mechanism for carrying away the entropy introduced by errors is a cooling procedure. We evaluat…
openalex
Mohan Sarovar, G. J. Milburn
2005-07-08
置信度 0.72
Computer scienceError detection and correctionQuantum error correctionQuantumAlgorithm
-
The hull of linear codes has promising utilization in coding theory and quantum coding theory. In this paper, we study the hull of generalized Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields with respect to the Euclidean inner…
openalex
Gaojun Luo, Xiwang Cao, Xiaojing Chen
2018-10-17
置信度 0.72
HullReed–Solomon error correctionBlock codeMathematicsCoding theory
-
We describe a laboratory demonstration of a quantum error correction procedure that can correct intrinsic measurement errors in linear-optics quantum gates. The procedure involves a two-qubit encoding and fast feed-forward-controlled single-qubit operations. I…
openalex
T. B. Pittman, B. C. Jacobs, J. D. Franson
2005-05-31
置信度 0.72
QubitQuantum error correctionError detection and correctionPhotonPhysics
-
We compare the performance of quantum error correcting codes when memory errors are unitary with the more familiar case of dephasing noise. For a wide range of codes, we analytically compute the effective logical channel that results when the error correction …
openalex
Eric Huang, Andrew C. Doherty, Steven T. Flammia
2019-02-12
置信度 0.72
QubitDephasingError detection and correctionQuantum error correctionAlgorithm
-
We present a quantum error correcting code that is invariant under the conditional time evolution between spontaneous emissions and which can correct for one general error. The code presented here generalizes previous error correction codes in that not all err…
openalex
Martin B. Plenio, Vlatko Vedral, P. L. Knight
1997-01-01
置信度 0.72
Error detection and correctionQuantum error correctionQuantumAlgorithmComputer science
-
Quantum error correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbe…
openalex
Emanuel Knill, Raymond Laflamme
1997-02-01
置信度 0.72
Quantum error correctionQuantum capacityQuantum informationQubitQuantum teleportation
-
We consider quantum error correction of quantum noise that is created by a local interaction of qubits with a common bosonic bath. The possible exchange of bath bosons between qubits gives rise to spatial and temporal correlations in the noise. We find that th…
openalex
Rochus Klesse, Sandra Frank
2005-11-30
置信度 0.72
Quantum error correctionQubitPhysicsNoise (video)Quantum noise
-
We derive necessary and sufficient conditions for the approximate correctability of a quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our measure of success of the recovery operation is the worst-case entanglement fidelity.…
openalex
Cédric Bény, Ognyan Oreshkov
2010-03-23
置信度 0.72
QuantumQuantum error correctionError detection and correctionPhysicsStatistical physics
-
We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies. This significantly generalizes both sides of an equivalence previou…
openalex
Christopher Nelson Akers, Geoff Penington
2022-05-12
置信度 0.72
QuantumQuantum error correctionError detection and correctionPhysicsComputer science
-
We consider quantum error correction against correlated noise using simple and concatenated Calderbank-Shor-Steane codes as well as $n$-qubit repetition codes. We characterize the performance of various codes by means of the fidelity following the error correc…
openalex
James Clemens, Shabnam Siddiqui, Julio Gea-Banacloche
2004-06-14
置信度 0.72
PhysicsQubitQuantum error correctionNoise (video)Algorithm
-
Topological stabilizer codes with different spatial dimensions have complementary properties. Here I show that the spatial dimension can be switched using gauge fixing. Combining 2D and 3D gauge color codes in a 3D qubit lattice, fault-tolerant quantum computa…
openalex
Héctor Bombín
2016-04-27
置信度 0.72
PhysicsQuantum error correctionComputationQuantum computerJump
-
In a ground breaking discovery in 1994, Shor has shown that quantum computers, if built, can factor numbers efficiently. Since then quantum computing has become a burgeoning field of research, attracting theoreticians and experimentalists alike, and regrouping…
openalex
Julia Kempe
2006-01-01
置信度 0.72
Quantum error correctionQuantum computerQuantum decoherenceComputer scienceError detection and correction
-
Although the theory of quantum error correction is intimately related to classical coding theory and, in particular, one can construct quantum error-correction codes (QECCs) from classical codes with the dual-containing property, this does not necessarily impl…
openalex
Min-Hsiu Hsieh, François Le Gall
2011-05-31
置信度 0.72
List decodingDecoding methodsQuantum error correctionSequential decodingAlgorithm
-
We implement a quantum error correction algorithm for bit-flip errors on the topological toric code using deep reinforcement learning. An action-value Q-function encodes the discounted value of moving a defect to a neighboring site on the square grid (the acti…
openalex
Philip Andreasson, Joel Johansson, Simon Liljestrand, Mats Granath
2019-09-02
置信度 0.72
AlgorithmError detection and correctionComputer scienceCode (set theory)Reinforcement learning
-
We demonstrate that there exists a universal, near-optimal recovery map---the transpose channel---for approximate quantum error-correcting codes, where optimality is defined using the worst-case fidelity. Using the transpose channel, we provide an alternative …
openalex
Hui Khoon Ng, Prabha Mandayam
2010-06-28
置信度 0.72
TransposeSimple (philosophy)AlgorithmFidelityQubit
-
In this introductory article on the subject of quantum error correction and fault-tolerant quantum computation, we review three important ingredients that enter known constructions for fault-tolerant quantum computation, namely quantum codes, error discretizat…
europepmc
Robert Raussendorf
2012
置信度 0.80
Quantum error correctionComputer scienceQuantum computerQuantum algorithmQuantum
-
The efficient validation of quantum devices is critical for emerging technological applications. In a wide class of use cases the precise engineering of a Hamiltonian is required both for the implementation of gate-based quantum information processing as well …
openalex
Agnes Valenti, Evert van Nieuwenburg, Sebastian D. Huber, Eliška Greplová
2019-11-11
置信度 0.72
Hamiltonian (control theory)QuantumComputer scienceScalabilityComputer engineering
-
The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds…
openalex
Ching–Yi Lai, Todd A. Brun, Mark M. Wilde
2013-02-08
置信度 0.72
Quantum entanglementDuality (order theory)MathematicsQubitError detection and correction
-
Analysis of quantum error correcting codes is typically done using a stochastic, Pauli channel error model for describing the noise on physical qubits. However, it was recently found that coherent errors (systematic rotations) on physical data qubits result in…
openalex
Daniel Greenbaum, Zachary Dutton
2017-12-20
置信度 0.72
Concatenation (mathematics)Quantum error correctionPauli exclusion principleQubitError detection and correction
-
This paper brings together error correction and quantum device verification through a Hamiltonian learning algorithm. The machine learning driven algorithm identifies the Hamiltonian of a quantum device from a small amount of local measurements and brings the …
openalex
Agnes Valenti, Evert van Nieuwenburg, Sebastian Huber, Eliska Greplova
2019-11-11
置信度 0.72
Hamiltonian (control theory)QuantumQuantum error correctionError detection and correctionAdiabatic quantum computation
-
A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory. A s…
openalex
Andrew Steane
1996-07-29
置信度 0.72
Superposition principleQuantumQuantum error correctionQuantum mechanicsComputer science
-
openalex
Carlton M. Caves
1999-12-01
置信度 0.72
Quantum entanglementQubitFormalism (music)Computer scienceQuantum error correction
-
The performance of superconducting qubits has improved by several orders of magnitude in the past decade. These circuits benefit from the robustness of superconductivity and the Josephson effect, and at present they have not encountered any hard physical limit…
openalex
Michel Devoret, Robert Schoelkopf
2013-03-07
置信度 0.72
QubitRobustness (evolution)Superconducting quantum computingDissipative systemQuantum
-
openalex
O. Kern, G. Alber, D. L. Shepelyansky
2005-01-01
置信度 0.72
Quantum error correctionError detection and correctionAlgorithmRedundancy (engineering)Residual
-
Recently, Almheiri, Dong, and Harlow have argued that the localization of bulk information in a boundary dual should be understood in terms of quantum error correction. We show that this structure appears naturally when the gauge invariance of the boundary the…
openalex
Eric Mintun, Joseph Polchinski, Vladimir Rosenhaus
2015-10-07
置信度 0.72
PhysicsGauge theoryDuality (order theory)Boundary value problemGauge (firearms)
-
openalex
Harriet Pollatsek, Mary Beth Ruskai
2004-08-17
置信度 0.72
MathematicsError detection and correctionSubspace topologyInvariant (physics)Abelian group
-
We describe a continuous-variable error correction protocol that can correct the Gaussian noise induced by linear loss on Gaussian states. The protocol can be implemented using linear optics and photon counting. We explore the theoretical bounds of the protoco…
openalex
Timothy C. Ralph
2011-08-25
置信度 0.72
Continuous variableGaussianGaussian noiseProtocol (science)Noise (video)
-
We present a semidefinite program optimization approach to quantum error correction that yields codes and recovery procedures that are robust against significant variations in the noise channel. Our approach allows us to optimize the encoding, recovery, or bot…
openalex
Robert L. Kosut, Alireza Shabani, Daniel A. Lidar
2008-01-16
置信度 0.72
QuantumRegular polygonConvex optimizationComputer scienceAlgorithm
-
The so-called NOON states are quantum optical resources known to be useful especially for quantum lithography and metrology. At the same time, they are known to be very sensitive to photon losses and rather hard to produce experimentally. Concerning the former…
openalex
Marcel Bergmann, Peter van Loock
2016-07-07
置信度 0.72
NoonPhotonPhysicsOpticsAtmospheric sciences
-
Abstract High-fidelity and rapid readout of a qubit state is key to quantum computing and communication, and it is a prerequisite for quantum error correction. We present a readout scheme for superconducting qubits that combines two microwave techniques: apply…
openalex
Liangyu Chen, Hang-Xi Li, Yong Lu, Christopher Warren 等
2023-03-16
置信度 0.72
QubitTransmonPhysicsQuantum computerQuantum error correction
-
Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that imp…
openalex
Guillaume Dauphinais, Laura Ortíz, Santiago Varona, M. A. Martín-Delgado
2019-05-01
置信度 0.72
PhysicsQuantum error correctionCode (set theory)QuantumAlgorithm
-
We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The quantum networks obtained …
openalex
David P. DiVincenzo, Peter W. Shor
1996-10-07
置信度 0.72
Quantum error correctionComputer scienceError detection and correctionQuantumAlgorithm
-
Erasures, or errors with known locations, are a more favorable type of error for quantum error-correcting codes than Pauli errors. Converting physical noise into erasures can significantly improve the performance of quantum error correction. Here, we apply the…
openalex
Mingyu Kang, Wesley C. Campbell, Kenneth R. Brown
2023-06-30
置信度 0.72
QubitMetastabilityPhysicsQuantum informationQuantum computer
-
We analyze a generalized quantum error-correction code against photon loss where a logical qubit is encoded into a subspace of a single oscillator mode that is spanned by distinct multicomponent cat states (coherent-state superpositions). We present a systemat…
openalex
Marcel Bergmann, Peter van Loock
2016-10-21
置信度 0.72
QubitCoherent statesPhysicsQuantum error correctionPhoton
-
Fault-tolerant quantum error correction is essential for implementing quantum algorithms of significant practical importance. In this work, we propose a highly effective use of the surface Gottesman-Kitaev-Preskill (GKP) code, i.e., the surface code consisting…
openalex
Kyungjoo Noh, Christopher Chamberland, Fernando G. S. L. Brandão, Fernando G.S.L. Brandão
2022-01-28
置信度 0.72
QubitDecoding methodsCode (set theory)Overhead (engineering)Noise (video)
-
Quantum error correction protects fragile quantum information by encoding it into a larger quantum system. These extra degrees of freedom enable the detection and correction of errors, but also increase the operational complexity of the encoded logical qubit. …
openalex
Laird Egan, Dripto M. Debroy, Crystal Noel, Andrew Risinger 等
2020-09-24
置信度 0.72
Fault toleranceComputer scienceCode (set theory)Error detection and correctionQuantum
-
Active quantum error correction is a central ingredient to achieve robust quantum processors. In this paper we investigate the potential of quantum machine learning for quantum error correction in a quantum memory. Specifically, we demonstrate how quantum neur…
openalex
David F. Locher, Lorenzo Cardarelli, Markus Müller
2023-03-09
置信度 0.72
Quantum error correctionComputer scienceQuantumQubitQuantum algorithm
-
We present a class of numerical algorithms which adapt a quantum error correction scheme to a channel model. Given an encoding and a channel model, it was previously shown that the quantum operation that maximizes the average entanglement fidelity may be calcu…
openalex
Andrew S. Fletcher, Peter W. Shor, Moe Z. Win
2008-01-17
置信度 0.72
Encoding (memory)Computer scienceChannel (broadcasting)TRACE (psycholinguistics)Duality (order theory)
-
A quantum circuit implementing 5-qubit quantum-error correction on a linear-nearest-neighbor architecture is described. The canonical decomposition is used to construct fast and simple gates that incorporate the necessary swap operations allowing the circuit t…
openalex
Austin G. Fowler, Charles D. Hill, Lloyd C. L. Hollenberg
2004-04-20
置信度 0.72
QubitQuantum error correctionError detection and correctionQuantum circuitComputer science
-
An introduction to quantum error correction (QEC) is given, and some recent developments are described. QEC consists of two parts: the physics of error processes and their reversal, and the construction of quantum error–correcting codes. Errors are caused both…
openalex
Andrew Steane
1998-08-15
置信度 0.72
Quantum error correctionQuantum computerError detection and correctionQuantum capacityComputer science
-
We present analytic estimates of the performances of various approximate quantum error-correction schemes for the generalized amplitude-damping (GAD) qubit channel. Specifically, we consider both stabilizer and nonadditive quantum codes. The performance of suc…
openalex
Carlo Cafaro, Peter van Loock
2014-02-12
置信度 0.72
Quantum entanglementQuantum error correctionAmplitude damping channelQubitQuantum
-
In Chapter 4 we introduced different quantum gates and quantum circuits and in Chapter 5 we described several quantum algorithms. So far the analysis of the algorithms and the circuits has been made with the assumption that the required unitary operations can b…
openalex
Anirban Pathak
2013-06-20
置信度 0.72
Computer scienceQuantumPhysicsQuantum mechanics
-
Abstract We propose an autonomous quantum error correction scheme using squeezed cat (SC) code against excitation loss in continuous-variable systems. Through reservoir engineering, we show that a structured dissipation can stabilize a two-component SC while a…
openalex
Qian Xu, Guo Zheng, Yuxin Wang, P. Zoller 等
2023-08-03
置信度 0.72
QubitDissipationQuantum computerQuantum error correctionError detection and correction
-
We consider the problem of calculating the logical error probability for a stabilizer quantum code subject to random Pauli errors. To access the regime of large code distances where logical errors are extremely unlikely we adopt the splitting method widely use…
openalex
Sergey Bravyi, Alexander Vargo
2013-12-05
置信度 0.72
Pauli exclusion principleAlgorithmExponential functionError detection and correctionLattice (music)
-
We analyze and further develop a method to represent the quantum state of a system of $n$ qubits in a phase-space grid of $N\ifmmode\times\else\texttimes\fi{}N$ points (where $N={2}^{n}$). The method, which was recently proposed by Wootters and co-workers (Gib…
openalex
Juan Pablo Paz, Augusto J. Roncaglia, Marcos Saraceno
2005-07-11
置信度 0.72
QubitPhase spaceQuantumWigner distribution functionFunction (biology)
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Operator quantum error correction is a technique for robustly storing quantum information in the presence of noise. It generalizes the standard theory of quantum error correction, and provides a unified framework for topics such as quantum error correction, de…
openalex
Michael A. Nielsen, David Poulin
2007-06-21
置信度 0.72
Quantum error correctionDecoherence-free subspacesQuantum informationQuantum operationQuantum capacity
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Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations reliably. Progress towards …
arxiv
Pedro Parrado-Rodríguez, Ciarán Ryan-Anderson, A. Bermúdez, Markus Müller 等
2020-01-01
置信度 0.78
QubitQuantum computerComputer scienceCrosstalkQuantum
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Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations reliably. Progress towards …
openalex
Pedro Parrado-Rodríguez, Ciarán Ryan-Anderson, Alejandro Bermudez, Markus Müller
2021-06-29
置信度 0.72
QubitCrosstalkQuantum computerQuantum error correctionPhysics
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Covariant codes are quantum codes such that a symmetry transformation on the logical system could be realized by a symmetry transformation on the physical system, usually with limited capability of performing quantum error correction (an important case being t…
openalex
Sisi Zhou, Zi-Wen Liu, Liang Jiang
2021-08-09
置信度 0.72
Quantum error correctionCovariant transformationQuantum operationQuantumPhysics
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openalex
Robert L. Kosut, Daniel A. Lidar
2009-07-17
置信度 0.72
Encoding (memory)Quantum computerConvex optimizationAlgorithmRegular polygon
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openalex
J. Kelly, R. Barends, Austin G. Fowler, A. Megrant 等
2015-03-03
置信度 0.72
QubitQuantum error correctionQuantum computerComputer scienceSuperconducting quantum computing
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We present a quantum error correction code which protects a qubit of information against general one qubit errors. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task.…
openalex
Raymond Laflamme, César Miquel, Juan Pablo Paz, Wojciech H. Zurek
1996-07-01
置信度 0.72
QubitComputer scienceQuantum error correctionUnitary stateState (computer science)
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This work generalizes the concept of using topological phases as quantum error correctors to fracton topological phases. The authors demonstrate this by using the conservation laws of the X-cube model.
openalex
Benjamin J. Brown, Dominic J. Williamson
2020-03-12
置信度 0.72
QuantumTopology (electrical circuits)FractonPhysicsTheoretical physics
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openalex
Earl T. Campbell
2024-02-16
置信度 0.72
Series (stratigraphy)Computer scienceGeologyPaleontology
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The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip the state of the system, a technique that can be termed quant…
openalex
Lorenza Viola, Seth Lloyd
1998-10-01
置信度 0.72
Quantum decoherenceQuantum Zeno effectQuantumPhysicsHamiltonian (control theory)
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We study the effect of continuous quantum error correction in the case where each qubit in a codeword is subject to a general Hamiltonian interaction with an independent bath. We first consider the scheme in the case of a trivial single-qubit code, which provi…
openalex
Ognyan Oreshkov, Todd A. Brun
2007-08-20
置信度 0.72
Quantum decoherencePhysicsQuantum Zeno effectQubitQuantum error correction
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We propose an error correction coding algorithm for continuous quantum variables. We use this algorithm to construct a highly efficient 5-wave-packet code which can correct arbitrary single wave-packet errors. We show that this class of continuous variable cod…
openalex
Samuel L. Braunstein
1998-05-04
置信度 0.72
Continuous variableError detection and correctionComputer scienceAlgorithmNetwork packet
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Criteria are given by which dissipative evolution in the weak coupling limit can transfer populations and coherences between quantum subspaces, without a loss of coherence. The result is a form of quantum error correction implemented by the joint evolution of …
openalex
Jeff P. Barnes, Warren S. Warren
2000-07-24
置信度 0.72
PhysicsQubitDecoherence-free subspacesCoherence (philosophical gambling strategy)Quantum error correction
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We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing quantum information o…
openalex
Raymond Laflamme, César Miquel, Juan Pablo Paz, Wojciech H. Zurek
1996-02-27
置信度 0.72
Code (set theory)Computer scienceError detection and correctionQuantum error correctionQuantum
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In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the presence of such an …
openalex
Ashley M. Stephens, Zachary W. E. Evans, Simon J. Devitt, Lloyd C. L. Hollenberg
2008-06-26
置信度 0.72
Error detection and correctionCode (set theory)Computer scienceQuantum error correctionQuantum
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In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and crosstalk. These errors p…
openalex
Avimita Chatterjee, Koustubh Phalak, Swaroop Ghosh
2023-09-17
置信度 0.72
Quantum computerQubitComputer scienceError detection and correctionQuantum error correction
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The authors study the estimation of a Hamiltonian parameter under Markovian noise with the help of fast quantum controls. When the sensing time is long, the paper shows that for a generic set of Markovian evolutions, there exists an approximate quantum error c…
openalex
Sisi Zhou, Liang Jiang
2020-03-02
置信度 0.72
Quantum error correctionQuantumQuantum phase estimation algorithmError detection and correctionQuantum metrology
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The standard formulation of quantum error correction (QEC) comprises repeated cycles of error estimation and corrective intervention in the free dynamics of a qubit register. QEC can thus be seen as a form of feedback control, and it is of interest to seek a d…
openalex
Hideo Mabuchi
2009-10-30
置信度 0.72
QubitError detection and correctionQuantumPhysicsQuantum error correction