-
The Hamiltonian model of quantum error correction code in the literature is often constructed with the help of its stabilizer formalism. But there have been many known examples of nonadditive codes which are beyond the standard quantum error correction theory …
arxiv
Yong Zhang
2008-01-16T20:23:52Z
置信度 0.78
quant-phcond-mat.otherhep-th
-
Quantum computers herald the arrival of a new era in which previously intractable computational problems will be solved efficiently. However, quantum technology is held down by decoherence, a phenomenon that is omnipresent in the quantum paradigm and that rend…
arxiv
Patricio Fuentes
2022-02-17T11:26:52Z
置信度 0.78
quant-pheess.SY
-
Fast and high fidelity shuttling of spin qubits has been demonstrated in semiconductor quantum dot devices. Several architectures based on shuttling have been proposed; it has been suggested that singlet-triplet (dual-spin) qubits could be optimal for the high…
arxiv
Adam Siegel, Simon Benjamin
2026-01-15T14:51:01Z
置信度 0.78
quant-ph
-
This paper proposes a hierarchical modeling approach to perform stochastic model specification in Markov switching vector error correction models. We assume that a common distribution gives rise to the regime-specific regression coefficients. The mean as well …
arxiv
Niko Hauzenberger, Florian Huber, Michael Pfarrhofer, Thomas O. Zörner
2018-07-02T08:36:11Z
置信度 0.78
econ.EM
-
Efficient quantum error correction is essential for the advancement of quantum computing. We propose a quantum neural network with a global structure that reduces the number of unitary matrices required in quantum circuits. This approach resulted in a 97% redu…
arxiv
Shun Ryuzaki, Hideo Mukai
2026-06-07T12:11:04Z
置信度 0.78
cs.LGquant-ph
-
The concept of entropy and the correct application of the Second Law of thermodynamics are essential in order to understand the reason why quantum error correction is thermodynamically possible and no violation of the Second Law occurs during its execution. We…
arxiv
Carlo Cafaro, Peter van Loock
2013-08-21T13:55:14Z
置信度 0.78
quant-ph
-
Quantum error correction (QEC) is a procedure by which the quantum state of a system is protected against a known type of noise, by preemptively adding redundancy to that state. Such a procedure is commonly used in quantum computing when thermal noise is prese…
arxiv
Arshag Danageozian, Mark M. Wilde, Francesco Buscemi
2021-12-09T18:39:44Z
置信度 0.78
quant-ph
-
The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate error correction is pos…
arxiv
Benjamin Schumacher, Michael D. Westmoreland
2001-12-18T20:13:18Z
置信度 0.78
quant-ph
-
We introduce a notion of nuclear numerical range defined as the set of expectation values of a given operator $A$ among normalized pure states, which belong to the nucleus of an auxiliary operator $Z$. This notion proves to be applicable to investigate models …
arxiv
Patryk Lipka-Bartosik, Karol Życzkowski
2016-10-04T11:07:15Z
置信度 0.78
quant-ph
-
The notions of error and disturbance appearing in quantum uncertainty relations are often quantified by the discrepancy of a physical quantity from its ideal value. However, these real and ideal values are not the outcomes of simultaneous measurements, and com…
arxiv
Joseph M. Renes, Volkher B. Scholz, Stefan Huber
2016-12-06T22:07:08Z
置信度 0.78
quant-phmath-ph
-
A potential quantum internet would open up the possibility of realizing numerous new applications, including provably secure communication. Since losses of photons limit long-distance, direct quantum communication and widespread quantum networks, quantum repea…
arxiv
Daniel Miller, Timo Holz, Hermann Kampermann, Dagmar Bruß
2019-06-12T14:36:02Z
置信度 0.78
quant-ph
-
Quantum error correction is important to quantum information processing, which allows us to reliably process information encoded in quantum error correction codes. Efficient quantum error correction benefits from the knowledge of error rates. We propose a prot…
arxiv
Ming-Xia Huo, Ying Li
2017-10-10T14:56:23Z
置信度 0.78
quant-ph
-
In a gauge theory, a collection of kinematical degrees of freedom is used to redundantly describe a smaller amount of gauge-invariant information. In a quantum error correcting code (QECC), a collection of computational degrees of freedom that make up a device…
arxiv
Sylvain Carrozza, Aidan Chatwin-Davies, Philipp A. Hoehn, Fabio M. Mele
2024-12-19T18:52:38Z
置信度 0.78
quant-phgr-qchep-thmath-ph
-
Recent progress in quantum cryptography and quantum computers has given hope to their imminent practical realization. An essential element at the heart of the application of these quantum systems is a quantum error correction scheme. We propose a new technique…
arxiv
I. L. Chuang, R. Laflamme
1995-11-03T09:45:25Z
置信度 0.78
quant-ph
-
We introduce and analyze a novel quantum machine learning model motivated by convolutional neural networks. Our quantum convolutional neural network (QCNN) makes use of only $O(\log(N))$ variational parameters for input sizes of $N$ qubits, allowing for its ef…
arxiv
Iris Cong, Soonwon Choi, Mikhail D. Lukin
2018-10-09T03:10:08Z
置信度 0.78
quant-phcond-mat.str-el
-
crossref
Ivan B. Djordjevic
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置信度 0.70
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2012-06-19T17:11:45Z
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2012-06-19T17:11:45Z
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Ivan Djordjevic
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crossref
2007-11-26T23:46:54Z
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Studying entanglement is essential for our understanding of such diverse areas as high-energy physics, condensed matter physics, and quantum optics. Moreover, entanglement allows us to surpass classical physics and technologies enabling better information proc…
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Zahra Raissi
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置信度 0.70
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crossref
2022-04-08T21:51:28Z
置信度 0.70
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crossref
2013-09-05T05:03:20Z
置信度 0.70
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Abstract We briefly introduce some basic ideas of information and quantum information. We start by comparing a classical memory with a quantum memory. Simple repetition codes can protect classical memories from error and we introduce the idea of a code space, …
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Steven H. Simon
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Ivan Djordjevic
2012-04-10T22:21:15Z
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Austin Fowler, Kovid Goyal
2013-09-05T05:03:20Z
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Sunday Oladele, Faithful Doniy, Hammed Kan
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Héctor Bombín
2013-09-05T05:03:20Z
置信度 0.70
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We propose a model for quantum computing with long chains of trapped ions and we design quantum error correction schemes for this model. The main components of a quantum error correction scheme are the quantum code and a quantum circuit called the syndrome ext…
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2008-02-05T10:47:00Z
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2013-12-19T23:58:16Z
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2012-06-19T17:11:45Z
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Venkateswaran Kasirajan
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2013-12-19T18:58:16Z
置信度 0.70
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crossref
Mazharul Islam Mondal
2020-11-13T03:32:30Z
置信度 0.70
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Quantum error correction (QEC) — это набор методов и алгоритмов в квантовых вычислениях, предназначенных для защиты квантовой информации от ошибок, вызванных шумом, декогеренцией и внешними возмущениями. QEC является ключевым элементом для создания масштабируе…
crossref
Дмитрий Ященко
2026-01-12T08:39:06Z
置信度 0.70
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crossref
Martin Roetteler
2015-08-12T05:57:41Z
置信度 0.70
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Quantum error correction is essential for scalable quantum computing. In practice, any quantum error correction protocol must be paired with a classical co-processor running a decoding algorithm that processes syndrome data in real time. This places high deman…
crossref
Stergios Koutsioumpas, Joschka Roffe
2026-03-09T12:25:33Z
置信度 0.70
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In this article, we report the development of a computer program to build quantum error correction codes (QECC). It enables us to generate a QECC from an algebraic geometry code (AGC). We demonstrate how to incarnate the abstract idea (by which AG codes are ex…
crossref
Ichio Kikuchi, Akihito Kikuchi
2026-03-10T02:01:11Z
置信度 0.70
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Quantum error correction is essential for scalable quantum computing. In practice, any quantum error correction protocol must be paired with a classical co-processor running a decoding algorithm that processes syndrome data in real time. This places high deman…
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Stergios Koutsioumpas, Joschka Roffe
2026-03-09T12:25:35Z
置信度 0.70
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Omkar Bhalekar
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Ivan B. Djordjevic
2025-12-05T23:16:13Z
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Markus Grassl
2019-04-15T10:55:40Z
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Rodney Van Meter
2014-05-09T03:56:30Z
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Ivan B. Djordjevic
2022-07-22T18:01:09Z
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2013-12-19T18:58:16Z
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crossref
2022-07-20T09:19:54Z
置信度 0.70
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crossref
2012-06-19T17:11:45Z
置信度 0.70
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Especially in noisy intermediate-scale quantum (NISQ) devices, fault-tolerant quantum computing cannot be realized without quantum error correction. High error rates in quantum systems stemming from decoherence and gate defects call for effective and flexible …
crossref
Nihad Sarkarov
2025-02-27T00:07:54Z
置信度 0.70
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crossref
Gianluigi Catelani
2026-05-04T14:59:43Z
置信度 0.70
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Réalisation d’une dissipation multi-photonique grâce aux circuitssupraconducteurs pour la correction d’erreur quantique Les états quantiques peuvent occuper des états particuliers tels que les états de superposition ou intriqués. Ces états sont fragiles et fin…
crossref
Raphaël Lescanne
2026-04-04T00:21:53Z
置信度 0.70
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crossref
Martin Roetteler
2016-04-21T20:03:50Z
置信度 0.70
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crossref
2012-06-19T17:11:45Z
置信度 0.70
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crossref
Mohan Sarovar
2004-11-18T00:12:37Z
置信度 0.70
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crossref
Koen Groenland
2025-10-02T09:57:13Z
置信度 0.70
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crossref
Charles (Charles David) Hill
2022-12-01T17:51:19Z
置信度 0.70
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Noisy intermediate scale quantum (NISQ) systems are susceptible to errors that culminate in near-one hundred percent data loss. This is due to quantum state fragility and the incredibly high quantum communication error rates caused by decoherence, or quantum n…
crossref
Theresa Melvin
2023-12-06T10:21:41Z
置信度 0.70
-
Abstract Quantum error correction (QEC) is a key concept in quantum computation as well as many areas of physics. There are fundamental tensions between continuous symmetries and QEC. One vital situation is unfolded by the Eastin–Knill theorem, which forbids t…
crossref
Zi-Wen Liu, Sisi Zhou
2023-11-21T15:05:28Z
置信度 0.70
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crossref
Hiroshi Ohno
2023-02-19T19:41:01Z
置信度 0.70
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crossref
2026-01-02T07:50:51Z
置信度 0.70
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crossref
Markus Grassl, Martin Rötteler
2011-11-02T10:27:09Z
置信度 0.70
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crossref
2018-12-11T05:56:02Z
置信度 0.70
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crossref
Belal Ehsan Baaquie, Leong-Chuan Kwek
2023-01-03T19:38:43Z
置信度 0.70
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crossref
ANDREW M. STEANE
2010-04-21T04:04:10Z
置信度 0.70
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crossref
Tohya Hiroshima, Masahito Hayashi
2006-09-14T14:59:51Z
置信度 0.70
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This paper is no longer maintained, succeeded by a new paper that combines ideas from multiple works. Please refer to the new paper.
crossref
William Icefield
2020-03-13T17:59:20Z
置信度 0.70
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crossref
Samuel L. Braunstein
2012-05-20T15:06:49Z
置信度 0.70
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crossref
2013-12-19T23:58:16Z
置信度 0.70
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crossref
Tohya Hiroshima, Masahito Hayashi
2006-06-15T12:21:53Z
置信度 0.70
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crossref
Ognyan Oreshkov, Todd A. Brun, Daniel A. Lidar
2013-09-05T05:03:20Z
置信度 0.70
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crossref
2013-12-19T18:58:16Z
置信度 0.70
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We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation and decoding schemes …
crossref
Zhaoyi Li, Isaac Kim, Patrick Hayden
2023-08-22T14:17:49Z
置信度 0.70
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Quantum computing offers significant speedups, but the large number of physical qubits required for quantum error correction introduces engineering challenges for a monolithic architecture. One solution is to distribute the logical quantum computation across m…
arxiv
Evan Sutcliffe, Bhargavi Jonnadula, Claire Le Gall, Alexandra E. Moylett 等
2025-01-23T19:00:07Z
置信度 0.78
quant-ph
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Quantum error correction and symmetries play central roles in quantum information science and physics. It is known that quantum error-correcting codes that obey (are covariant with respect to) continuous symmetries in a certain sense cannot correct erasure err…
arxiv
Linghang Kong, Zi-Wen Liu
2021-12-02T18:46:34Z
置信度 0.78
quant-phcond-mat.stat-mechhep-thmath-ph
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We introduce a construction for entanglement-assisted quantum error-correcting codes (EAQECCs) that saturates the classical Singleton bound with less shared entanglement than any known method for code rates below $ \frac{k}{n} = \frac{1}{3} $. For higher rates…
arxiv
Soham Ghosh, Evagoras Stylianou, Holger Boche
2024-10-05T11:56:15Z
置信度 0.78
quant-ph
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Flag qubits have recently been proposed in syndrome extraction circuits to detect high-weight errors arising from fewer faults. The use of flag qubits allows the construction of fault-tolerant protocols with the fewest number of ancillas known to-date. In this…
arxiv
Theerapat Tansuwannont, Christopher Chamberland, Debbie Leung
2018-03-26T18:00:03Z
置信度 0.78
quant-ph
-
We introduce a framework for entanglement-assisted quantum error correcting codes that unifies the three original frameworks for such codes called EAQEC, EAOQEC, and EACQ under a single umbrella. The unification is arrived at by viewing entanglement-assisted c…
arxiv
Priya J. Nadkarni, Serge Adonsou, Guillaume Dauphinais, David W. Kribs 等
2024-11-21T18:24:03Z
置信度 0.78
quant-ph
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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 …
arxiv
Mingyu Kang, Wesley C. Campbell, Kenneth R. Brown
2022-10-26T20:41:50Z
置信度 0.78
quant-ph
-
To implement fault-tolerant quantum computation with continuous variables, the Gottesman--Kitaev--Preskill (GKP) qubit has been recognized as an important technological element. We have proposed a method to reduce the required squeezing level to realize large …
arxiv
Kosuke Fukui, Akihisa Tomita, Atsushi Okamoto
2018-04-11T10:51:09Z
置信度 0.78
quant-ph
-
We show how to convert an arbitrary stabilizer code into a bipartite quantum code. A bipartite quantum code is one that involves two senders and one receiver. The two senders exploit both nonlocal and local quantum resources to encode quantum information with …
arxiv
Mark M. Wilde, David Fattal
2009-12-11T04:25:43Z
置信度 0.78
quant-ph
-
This is a brief description of how to protect quantum states from dissipation and decoherence that arise due to uncontrolled interactions with the environment. We discuss recoherence and stabilisation of quantum states based on two techniques known as "symmetr…
arxiv
A. Ekert, C. Macchiavello
1999-04-19T09:05:31Z
置信度 0.78
quant-ph
-
The great amount of information that can be stored in electronic media is growing up daily. Many of them is got mainly by typing, such as the huge of information obtained from web 2.0 sites; or scaned and processing by an Optical Character Recognition software…
arxiv
Wulfrano A. Luna-Ramírez, Carlos R. Jaimez-González
2021-09-24T17:17:56Z
置信度 0.78
cs.CLcs.AI
-
We present a new geometric perspective on quantum error correction based on spectral triples in noncommutative geometry. In this approach, quantum error correcting codes are reformulated as low energy spectral projections of Dirac type operators that separate …
arxiv
Satoshi Kanno, Yoshi-aki Shimada
2026-01-27T16:27:31Z
置信度 0.78
quant-phhep-thmath-phmath.QA
-
Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error thresholds of leading qu…
arxiv
Davide Vodola, Manuel Rispler, Seyong Kim, Markus Müller
2021-04-10T19:26:37Z
置信度 0.78
quant-phcond-mat.stat-mechhep-lat
-
Quantum error correction (QEC) is a key concept in quantum computation as well as many areas of physics. There are fundamental tensions between continuous symmetries and QEC. One vital situation is unfolded by the Eastin--Knill theorem, which forbids the exist…
arxiv
Zi-Wen Liu, Sisi Zhou
2021-11-11T18:09:33Z
置信度 0.78
quant-phcond-mat.stat-mechhep-th
-
Following the introduction of the task of reference frame error correction, we show how, by using reference frame alignment with clocks, one can add a continuous Abelian group of transversal logical gates to any error-correcting code. With this we further expl…
arxiv
Mischa P. Woods, Álvaro M. Alhambra
2019-02-20T19:00:07Z
置信度 0.78
quant-phmath-ph
-
The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error…
arxiv
Feng Lu, Dan C. Marinescu
2006-05-26T18:50:10Z
置信度 0.78
quant-ph
-
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…
arxiv
Arne L. Grimsmo, Shruti Puri
2021-06-24T13:04:57Z
置信度 0.78
quant-ph
-
Mean king's problem is a kind of quantum state discrimination problems. In the problem, we try to discriminate eigenstates of noncommutative observables with the help of classical delayed information. The problem has been investigated from the viewpoint of err…
arxiv
Masakazu Yoshida, Toru Kuriyama, Jun Cheng
2017-01-07T13:23:53Z
置信度 0.78
quant-ph