-
europepmc
2022
置信度 0.80
-
europepmc
2023
置信度 0.80
-
europepmc
2022
置信度 0.80
-
europepmc
2024
置信度 0.80
-
Quantum error correction offers a promising path for performing high fidelity quantum computations. Although fully fault-tolerant executions of algorithms remain unrealized, recent improvements in control electronics and quantum hardware enable increasingly ad…
europepmc
Neereja Sundaresan, Theodore J. Yoder, Young‐Seok Kim, Muyuan Li 等
2023
置信度 0.80
Error detection and correctionComputer scienceQuantum error correctionQubitQuantum computer
-
Arbitrarily long quantum computations require quantum memories that can be repeatedly measured without being corrupted. Here, we preserve the state of a quantum memory, notably with the additional use of flagged error events. All error events were extracted us…
europepmc
Edward H. Chen, Theodore J. Yoder, Young‐Seok Kim, Neereja Sundaresan 等
2022
置信度 0.80
PostselectionQubitComputer scienceAlgorithmQuantum error correction
-
europepmc
2022
置信度 0.80
-
Quantum low density parity check (LDPC) codes may provide a path to build low-overhead fault-tolerant quantum computers. However, as general LDPC codes lack geometric constraints, naïve layouts couple many distant qubits with crossing connections which could b…
europepmc
Maxime Tremblay, Nicolas Delfosse, Michael E. Beverland
2022
置信度 0.80
QubitLow-density parity-check codeQuantum convolutional codeComputer scienceError detection and correction
-
europepmc
2022
置信度 0.80
-
europepmc
2022
置信度 0.80
-
Abstract Quantum deviations or coherent noise are a typical type of noise when implementing gate operations in quantum computers, and their impact on the performance of quantum error correction (QEC) is still elusive. Here, we consider the topological surface …
europepmc
Yuanchen Zhao, Dong Liu
2023
置信度 0.80
-
europepmc
2021
置信度 0.80
-
europepmc
2022
置信度 0.80
-
europepmc
2022
置信度 0.80
-
= 3/2 unit corresponding to an existing molecule, and the scaling to larger spin systems is quantitatively analyzed.
europepmc
Alessandro Chiesa, Emilio Macaluso, Francesco Petiziol, Sandro Wimberger 等
2020
置信度 0.80
QubitNanomagnetScalingError detection and correctionQuantum computer
-
europepmc
2020
置信度 0.80
-
europepmc
2021
置信度 0.80
-
europepmc
2020
置信度 0.80
-
Quantum error correction has recently emerged as a tool to enhance quantum sensing under Markovian noise. It works by correcting errors in a sensor while letting a signal imprint on the logical state. This approach typically requires a specialized error-correc…
europepmc
David Layden, Sisi Zhou, Paola Cappellaro, Liang Jiang
2019
置信度 0.80
Quantum error correctionDecoherence-free subspacesQubitQuantum decoherenceComputer science
-
europepmc
2017
置信度 0.80
-
europepmc
2019
置信度 0.80
-
We show that a [Er-Ce-Er] molecular trinuclear coordination compound is a promising platform to implement the three-qubit quantum error correction code protecting against pure dephasing, the most important error in magnetic molecules. We characterize it by pre…
europepmc
Emilio Macaluso, Marcos Rubín-Osanz, David Aguilà, Alessandro Chiesa 等
2020
置信度 0.80
DephasingQubitElectron paramagnetic resonanceLanthanideQuantum
-
europepmc
2016
置信度 0.80
-
europepmc
2017
置信度 0.80
-
The severe susceptibility of qubits to environmental noise remains the primary obstacle to practical quantum computing. To overcome this, we introduce a purification-assisted quantum error-correction (QEC) framework that embeds a symmetric subspace projection …
pubmed
Tang J, Wang MJ
2026
置信度 0.82
-
Superconducting qubits are among the most promising platforms for building a quantum computer. However, individual qubit coherence times are not far past the scalability threshold for quantum error correction, meaning that millions of physical devices would be…
europepmc
Eliot Kapit
2016
置信度 0.80
TransmonQubitSuperconducting quantum computingQuantum error correctionQuantum computer
-
europepmc
2026
置信度 0.80
-
europepmc
2026
置信度 0.80
-
europepmc
2026
置信度 0.80
-
europepmc
2015
置信度 0.80
-
europepmc
2026
置信度 0.80
-
europepmc
2026
置信度 0.80
-
Abstract. This paper is an expanded and more detailed version of the work [1] in which the Operator Quantum Error Correction protocol was introduced. This is a new scheme for the error correction of quantum operations that incorporates the known techniques — i…
openalex
David W. Kribs, David Poulin
2013-09-05
置信度 0.72
Operator (biology)QuantumQuantum error correctionComputer scienceMathematics
-
It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at …
openalex
Frank Gaitan
2011-08-29
置信度 0.72
Fault toleranceQuantumComputer scienceQuantum computerQuantum error correction
-
Abstract Quantum error correction is a set of methods to protect quantum information—that is, quantum states—from unwanted environmental interactions (decoherence) and other forms of noise. The information is stored in a quantum error-correcting code, which is…
openalex
Todd A. Brun, Todd A Brun
2020-02-28
置信度 0.72
Quantum error correctionQubitError detection and correctionQuantum computerQuantum information
-
We show how procedures which can correct phase and amplitude errors are in themselves sufficient to correct errors due to quantum entanglement, generalizing earlier results. We specify general criteria for quantum error correction, introduce quantum versions o…
openalex
Artur Ekert, Chiara Macchiavello
1996-09-16
置信度 0.72
Quantum error correctionComputer scienceQuantum entanglementQuantumError detection and correction
-
openalex
Daniel Harlow
2017-05-26
置信度 0.72
Quantum entanglementPure mathematicsMathematicsQuantumOperator algebra
-
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…
openalex
Roffe, J.
2019-10-09
置信度 0.72
Quantum error correctionComputer scienceError detection and correctionQubitQuantum computer
-
We consider quantum metrology in noisy environments, where the effect of noise and decoherence limits the achievable gain in precision by quantum entanglement. We show that by using tools from quantum error correction this limitation can be overcome. This is d…
openalex
Wolfgang Dür, Michalis Skotiniotis, Florian Fröwis, Barbara Kraus
2014-02-26
置信度 0.72
Quantum metrologyQuantum error correctionPhysicsQuantum decoherenceQuantum
-
We present a unified approach to quantum error correction, called operator quantum error correction. Our scheme relies on a generalized notion of a noiseless subsystem that is investigated here. By combining the active error correction with this generalized no…
openalex
David W. Kribs, Raymond Laflamme, David Poulin
2005-05-09
置信度 0.72
Quantum error correctionError detection and correctionDecoherence-free subspacesQuantum decoherenceQuantum
-
Contents §0. Introduction §1. Abelian problem on the stabilizer §2. Classical models of computations 2.1. Boolean schemes and sequences of operations 2.2. Reversible computations §3. Quantum formalism 3.1. Basic notions and notation 3.2. Transformations of mix…
openalex
Alexei Kitaev
1997-12-31
置信度 0.72
MathematicsComputationQuantum computerQuantum algorithmQuantum error correction
-
Fault-tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of Calderbank-Shor-Steane codes, including …
openalex
Andrew Steane
2003-10-22
置信度 0.72
Binary Golay codeNoise (video)AlgorithmOverhead (engineering)Quantum computer
-
We prove that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called entanglement degradatio…
openalex
Julien Niset, Jaromı́r Fiurášek, Nicolas J. Cerf
2009-03-24
置信度 0.72
GaussianQuantum entanglementGaussian random fieldDecoding methodsEncoding (memory)
-
We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control. Our protocol uses continuous measurements and Hamiltonian operations…
openalex
Charlene Ahn, Andrew C. Doherty, Andrew J. Landahl
2002-03-14
置信度 0.72
Quantum error correctionQubitError detection and correctionQuantum algorithmQuantum phase estimation algorithm
-
openalex
Alexei Kitaev, A. Yu. Kitaev
1997-01-01
置信度 0.72
ImperfectQuantumComputer scienceQuantum error correctionPhysics
-
Correcting errors in real time is essential for reliable large-scale quantum computations. Realizing this high-level function requires a system capable of several low-level primitives, including single-qubit and two-qubit operations, midcircuit measurements of…
openalex
Ciarán Ryan-Anderson, J. G. Bohnet, K. Lee, Dan Gresh 等
2021-12-23
置信度 0.72
QubitComputer scienceQuantum error correctionQuantum computerRealization (probability)
-
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…
openalex
Seth Lloyd, Jean-Jacques Slotine
1998-05-04
置信度 0.72
Quantum error correctionQuantum decoherenceQuantumPhysicsQuantum mechanics
-
openalex
Nissim Ofek, Andrei Petrenko, Reinier Heeres, Philip Reinhold 等
2016-07-19
置信度 0.72
Bit (key)Electronic circuitSuperconductivityQuantumPhysics
-
openalex
Samuel L. Braunstein
1998-07-01
置信度 0.72
Quantum error correctionQuantum noiseQuantum amplifierComputer scienceQuantum information science
-
We present relaxed criteria for quantum error correction that are useful when the specific dominant quantum noise process is known. As an example, we provide a four-bit code that corrects for a single amplitude damping error. This code violates the usual Hammi…
openalex
Debbie Leung, Michael A. Nielsen, Isaac L. Chuang, Y. Yamamoto
1997-10-01
置信度 0.72
Quantum error correctionPauli exclusion principleError detection and correctionHamming codeQuantum
-
This paper investigates properties of noisy quantum information channels. We define a quantity called coherent information, which measures the amount of quantum information conveyed in the noisy channel. This quantity can never be increased by quantum informat…
openalex
Benjamin Schumacher, Michael A. Nielsen
1996-10-01
置信度 0.72
QuantumQuantum capacityQuantum channelQuantum error correctionComputer science
-
Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum information processors. Therefore, quantum error correction (QEC) that can protect quantum information against noise is vita…
openalex
Weizhou Cai, Yuwei Ma, Weiting Wang, Chang-Ling Zou 等
2021-01-01
置信度 0.72
Quantum error correctionPhysicsQuantum informationQuantum networkQuantum mechanics
-
Quantum computation and communication rely on the ability to manipulate quantum states robustly and with high fidelity. Thus, some form of error correction is needed to protect fragile quantum superposition states from corruption by so-called decoherence noise…
openalex
Takao Aoki, Go Takahashi, Tadashi Kajiya, Jun-ichi Yoshikawa 等
2009-06-28
置信度 0.72
Quantum error correctionPhysicsQuantum informationQuantum networkQuantum computer
-
openalex
L. Hu, Y. Ma, W. Cai, X. Mu 等
2019-02-11
置信度 0.72
QubitPhysicsQuantum error correctionQuantum mechanicsTopology (electrical circuits)
-
openalex
Benjamin Schumacher, Michael Westmoreland, Michael D. Westmoreland
2002-04-01
置信度 0.72
Quantum computerPhysicsQuantum informationComputer scienceQuantum channel
-
QUANTUM ESPRESSO is an integrated suite of computer codes for electronic-structure calculations and materials modeling, based on density-functional theory, plane waves, and pseudopotentials (norm-conserving, ultrasoft, and projector-augmented wave). The acrony…
openalex
Paolo Giannozzi, Stefano Baroni, Nicola Bonini, Matteo Calandra 等
2009-09-01
置信度 0.72
InteroperabilityComputer scienceComputational scienceModular designWorld Wide Web
-
Quantum error correction is widely thought to be the key to fault-tolerant quantum computation. However, determining the most suited encoding for unknown error channels or specific laboratory setups is highly challenging. Here, we present a reinforcement learn…
openalex
Hendrik Poulsen Nautrup, Nicolas Delfosse, Vedran Dunjko, Hans J. Briegel 等
2019-12-16
置信度 0.72
Reinforcement learningComputer scienceError detection and correctionEncoding (memory)Qubit
-
To implement fault-tolerant quantum computation with continuous variables, the Gottesman-Kitaev-Preskill (GKP) qubit has been recognized as an important technological element. However, it is still challenging to experimentally generate the GKP qubit with the r…
openalex
Kosuke Fukui, Akihisa Tomita, Atsushi Okamoto, Keisuke Fujii
2018-05-25
置信度 0.72
Quantum computerQubitComputer scienceQuantum error correctionQuantum
-
The Gottesman-Kitaev-Preskill (GKP) code was proposed in 2001 by Daniel Gottesman, Alexei Kitaev, and John Preskill as a way to encode a qubit in an oscillator. The GKP codewords are coherent superpositions of periodically displaced squeezed vacuum states. Bec…
openalex
Arne L. Grimsmo, Shruti Puri
2021-06-23
置信度 0.72
QubitAttributionComputer scienceQuantum informationCode (set theory)
-
We consider a probabilistic reversing operation that returns the measured system to its original state by means of a physical process, and derive a trade-off relation between the unsharpness of the measurement and the best efficiency of the reversing operation…
openalex
Masato Koashi, Masahito Ueda
1999-03-22
置信度 0.72
ReversingProbabilistic logicComputer scienceQubitProcess (computing)
-
The performance of the circuit-based surface-GKP bosonic quantum error correction code under noise due to finite squeezing of the GKP states and photon losses is investigated. The authors show under what conditions fault-tolerant quantum error correction is po…
openalex
Kyungjoo Noh, Christopher Chamberland
2020-01-13
置信度 0.72
Decoding methodsQuantum computerQuantumError detection and correctionQuantum error correction
-
openalex
Erik Verlinde, Herman Verlinde
2013-10-01
置信度 0.72
PhysicsBlack hole complementarityBlack hole information paradoxBlack hole (networking)Extremal black hole
-
The goal of achieving quantum computation requires overcoming the limitation of quantum noise. A new approach shows how noisy local information about noise can be used to reliably correct errors for an ensemble of qubits on a lattice.
openalex
Héctor Bombín
2015-09-28
置信度 0.72
InitializationComputer scienceQuantumQuantum computerQuantum error correction
-
We propose an approach to quantum error correction based on coding and continuous syndrome readout via scattering of coherent probe fields, in which the usual steps of measurement and discrete restoration are replaced by direct physical processing of the probe…
openalex
Joseph Kerckhoff, Hendra I. Nurdin, Dmitri S. Pavlichin, Hideo Mabuchi
2010-07-22
置信度 0.72
QubitError detection and correctionQuantum error correctionQuantumComputer science
-
Abstract We review some of the recent efforts in devising and engineering bosonic qubits for superconducting devices, with emphasis on the Gottesman–Kitaev–Preskill (GKP) qubit. We present some new results on decoding repeated GKP error correction using finite…
openalex
B M Terhal, J Conrad, C Vuillot
2020-06-02
置信度 0.72
QubitError detection and correctionScalabilityQuantum error correctionDecoding methods
-
Abstract To build a universal quantum computer from fragile physical qubits, effective implementation of quantum error correction (QEC)1 is an essential requirement and a central challenge. Existing demonstrations of QEC are based on an active schedule of erro…
openalex
Jeffrey Gertler, Brian Baker, Juliang Li, Shruti Shirol 等
置信度 0.72
QubitQuantum error correctionQuantum computerComputer scienceTransmon
-
We show that quantum feedback control can be used as a quantum-error-correction process for errors induced by a weak continuous measurement. In particular, when the error model is restricted to one, perfectly measured, error channel per physical qubit, quantum…
openalex
Charlene Ahn, Howard M. Wiseman, G. J. Milburn
2003-05-27
置信度 0.72
QubitQuantum error correctionHamiltonian (control theory)Quantum mechanicsError detection and correction
-
We examine the performance of the single-mode Gottesman-Kitaev-Preskill (GKP) code and its concatenation with the toric code for a noise model of Gaussian shifts, or displacement errors. We show how one can optimize the tracking of errors in repeated noisy err…
openalex
Christophe Vuillot, Hamed Asasi, Yang Wang, Leonid P. Pryadko 等
2019-03-26
置信度 0.72
Concatenation (mathematics)Decoding methodsToric codeCode (set theory)Algorithm
-
Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences from the theory of …
openalex
Daniel Gottesman
2000-04-18
置信度 0.72
Computer scienceQuantumError detection and correctionPhysicsAlgorithm
-
Quantum error-correcting codes have been developed to protect a quantum computer from decoherence due to a noisy environment. In this paper, we present two methods for optimizing the physical implementation of such error correction schemes. First, we discuss a…
openalex
Guido Burkard, Daniel Loss, David P. DiVincenzo, John A. Smolin
1999-10-15
置信度 0.72
Quantum error correctionError detection and correctionQuantum computerComputer scienceQuantum decoherence
-
We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the code words can be explicitly constructed. For an $n$-qubit code whose stabilizer has $d$ generators, the resulting gate array consists of $O…
openalex
Richard Cleve, Daniel Gottesman
1997-07-01
置信度 0.72
QubitQuantum computerCode (set theory)ComputationSet (abstract data type)
-
We review some of the recent efforts in devising and engineering bosonic qubits for superconducting devices, with emphasis on the Gottesman–Kitaev–Preskill (GKP) qubit. We present some new results on decoding repeated GKP error correction using finitely-squeez…
openalex
Barbara M. Terhal, Jonathan Conrad, Christophe Vuillot
2020-01-01
置信度 0.72
QubitScalabilityDecoding methodsQuantum computerError detection and correction
-
We develop the theory of entanglement-assisted quantum error-correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to preshared entanglement. Conventional stabilizer codes are equival…
openalex
Todd A. Brun, Igor Devetak, Min-Hsiu Hsieh
2014-03-25
置信度 0.72
Block codeQuantum convolutional codeLinear codeConcatenated error correction codeExpander code
-
A bstract We study Renyi entropies S n in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing $$ {\tilde{S}}_n\equiv {n}^2{\partial}_n\left(\frac{n-1}{n}{S}_n\right) $$ S ˜ n ≡ n 2 ∂ n n − 1 n S n . We find that…
openalex
Chris Akers, Pratik Rath
2019-05-01
置信度 0.72
Rényi entropyHolographyQuantumStatistical physicsMathematics
-
One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. Th…
openalex
Michael A. Nielsen, Isaac L. Chuang
2011-01-31
置信度 0.72
Quantum computerQuantum informationQuantum information scienceComputer scienceQuantum cryptography
-
We show that the theory of operator quantum error correction can be naturally generalized by allowing constraints not only on states but also on observables. The resulting theory describes the correction of algebras of observables (and may therefore suitably b…
openalex
Cédric Bény, Achim Kempf, David W. Kribs
2007-03-07
置信度 0.72
Quantum error correctionObservableQuantum capacityQuantum informationDecoherence-free subspaces
-
Abstract The leakage of quantum information out of the two computational states of a qubit into other energy states represents a major challenge for quantum error correction. During the operation of an error-corrected algorithm, leakage builds over time and sp…
openalex
Kevin C. Miao, Matt McEwen, Juan Atalaya, Dvir Kafri 等
2023-10-05
置信度 0.72
Leakage (economics)QubitQuantum error correctionQuantum computerError detection and correction
-
europepmc
Bryn A. Bell, David A. Herrera-Martí, Mark Tame, Damian Markham 等
2014
置信度 0.80
Computer scienceQuantum computerQubitTheoretical computer scienceQuantum error correction
-
openalex
Ying Ma, Yuan Xu, X D Mu, Weizhou Cai 等
2020-05-11
置信度 0.72
Quantum error correctionPhysicsQuantum computerQuantum gateQubit
-
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…
openalex
Andrew S. Darmawan, Benjamin J. Brown, Arne L. Grimsmo, David K. Tuckett 等
2021-04-19
置信度 0.72
QubitPhysicsQuantum computerQuantum mechanicsPhoton
-
In this introduction we motivate and explain the ``decoding'' and ``subsystems'' view of quantum error correction. We explain how quantum noise in QIP can be described and classified, and summarize the requirements that need to be satisfied for fault tolerance…
openalex
Emanuel Knill, Raymond Laflamme, Alexei Ashikhmin, Howard Barnum 等
2002-07-30
置信度 0.72
QuantumComputer scienceError detection and correctionQuantum error correctionFault tolerance
-
Error correction procedures are considered which are designed specifically for the amplitude damping channel. Amplitude damping errors are analyzed in the stabilizer formalism. This analysis allows a generalization of the[4,1]ldquoapproximaterdquo amplitude da…
openalex
Andrew S. Fletcher, Peter W. Shor, Moe Z. Win
2008-12-01
置信度 0.72
AmplitudeChannel (broadcasting)GeneralizationCode (set theory)Hamming distance
-
Dynamically corrected gates were recently introduced [K. Khodjasteh and L. Viola, Phys. Rev. Lett. 102, 080501 (2009)] as a tool to achieve decoherence-protected quantum gates based on open-loop Hamiltonian engineering. Here, we further expand the framework of…
openalex
Kaveh Khodjasteh, Lorenza Viola
2009-09-14
置信度 0.72
Quantum decoherenceQuantum error correctionBounded functionHamiltonian (control theory)Robustness (evolution)
-
The surface code is a promising candidate for fault-tolerant quantum computation, achieving a high threshold error rate with nearest-neighbor gates in two spatial dimensions. Here, through a series of numerical simulations, we investigate how the precise value…
openalex
Ashley M. Stephens
2014-02-14
置信度 0.72
AlgorithmComputationDecoding methodsQuantum computerCode (set theory)
-
A formalism for quantum error correction based on operator algebras was introduced by us earlier [Phys. Rev. Lett. 98, 10052 (2007)] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quan…
openalex
Cédric Bény, Achim Kempf, David W. Kribs
2007-10-02
置信度 0.72
ObservableLinear subspaceFormalism (music)Mathematical proofQuantum
-
Quantum Information Processing and Quantum Error Correction is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level…
openalex
Ivan B. Djordjević
2012-04-30
置信度 0.72
Quantum error correctionQuantum informationComputer scienceQuantum computerQuantum network
-
Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error–correcting codes, teleportation and reversing quantum measurements. We derive information–theo…
openalex
Michael A. Nielsen, Carlton M. Caves, Benjamin Schumacher, Howard Barnum
1998-01-08
置信度 0.72
Quantum error correctionError detection and correctionQuantum informationQuantumQuantum capacity
-
We provide a self-contained introduction for entanglement-assisted quantum error-correcting codes in this book chapter.
arxiv
Todd Brun, Min-Hsiu Hsieh
2016-10-13T10:31:34Z
置信度 0.78
quant-ph
-
This report surveys quantum error-correcting codes. As Preskill claimed, 21st century would be the golden age of quantum error correction. Quantum channels behave differently from classical channels, so researchers face difficulties in developing robust quantu…
arxiv
Hsun-Hsien Chang
2006-02-18T03:17:50Z
置信度 0.78
quant-ph
-
The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a comb…
arxiv
A. M. Steane
2003-04-02T15:02:52Z
置信度 0.78
quant-ph
-
We propose quaternion-based strategies for quantum error correction by extending quantum mechanics into quaternionic Hilbert spaces. Building on the properties of quaternionic quantum states, we define quaternionic analogues of Pauli operators and quantum gate…
arxiv
Valentine Nyirahafashimana, Nurisya Mohd Shah, Umair Abdul Halim, Mohamed Othman 等
2025-04-28T14:34:57Z
置信度 0.78
quant-phmath-ph
-
Adiabatic quantum computation (AQC) is known to possess some intrinsic robustness, though it is likely that some form of error correction will be necessary for large scale computations. Error handling routines developed for circuit-model quantum computation do…
arxiv
Kevin C. Young, Mohan Sarovar, Robin Blume-Kohout
2013-07-22T21:18:39Z
置信度 0.78
quant-ph
-
While adiabatic quantum computing (AQC) has some robustness to noise and decoherence it is widely believed that encoding, error suppression and error correction will be required to scale AQC to large problem sizes. Previous works have established at least two …
arxiv
Mohan Sarovar, Kevin C. Young
2013-07-22T21:18:00Z
置信度 0.78
quant-ph
-
Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum processors by explo…
arxiv
Nobumasa Ishida, Yoshihiko Hasegawa
2026-01-12T13:25:08Z
置信度 0.78
quant-ph
-
We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's for ope…
arxiv
Guillaume Dauphinais, David W. Kribs, Michael Vasmer
2023-04-22T16:45:50Z
置信度 0.78
quant-phmath.OA
-
Autonomous quantum error correction has gained considerable attention to avoid complicated measurements and feedback. Despite its simplicity compared with the conventional measurement-based quantum error correction, it is still a far from practical technique b…
arxiv
Sangil Kwon, Shohei Watabe, Jaw-Shen Tsai
2022-03-17T10:54:18Z
置信度 0.78
quant-ph
-
We investigate the performance of a quantum error-correcting code when pushed beyond its intended capacity to protect information against errors, presenting formulae for the probability of failure when the errors affect more qudits than that specified by the c…
arxiv
A. J. Scott
2004-06-09T21:46:12Z
置信度 0.78
quant-ph
-
Quantum error correction (QEC) is essential for building fault-tolerant quantum computers, requiring decoders that are simultaneously accurate, fast, and scalable. Most state-of-the-art neural decoders achieve high accuracy but process the full dense syndrome …
arxiv
Samira Sayedsalehi, Nader Bagherzadeh, Maxim Shcherbakov, Jean-Luc Gaudiot
2026-05-16T21:01:29Z
置信度 0.78
quant-phcs.LG
-
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the case for arbi…
arxiv
Shawn X. Cui, Dawei Ding, Xizhi Han, Geoffrey Penington 等
2019-08-07T20:41:58Z
置信度 0.78
quant-phcond-mat.str-elmath-phmath.QA
-
We investigate quantum error correction protocols for neutral atoms quantum processors in the presence of atom loss. We complement the surface code with loss detection units (LDU) and analyze its performances by means of circuit-level simulations for two disti…
arxiv
Hugo Perrin, Sven Jandura, Guido Pupillo
2024-12-10T19:00:01Z
置信度 0.78
quant-ph