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We describe a quantum error correction scheme aimed at protecting a flow of quantum information over long distance communication. It is largely inspired by the theory of classical convolutional codes which are used in similar circumstances…

量子物理 · 物理学 2009-11-10 H. Ollivier , J. -P. Tillich

We devise a scheme that protects quantum coherent states of light from probabilistic losses, thus achieving the first continuous-variable quantum erasure-correcting code. If the occurrence of erasures can be probed, then the decoder…

量子物理 · 物理学 2009-11-13 J. Niset , U. L. Andersen , N. J. Cerf

Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation. They represent a general approach to integrating a range of possible quantum error…

量子物理 · 物理学 2018-12-05 A. Bolt , D. Poulin , T. M. Stace

When a logical qubit is protected using a quantum error-correcting code, the net effect of coding, decoherence (a physical channel acting on qubits in the codeword) and recovery can be represented exactly by an effective channel acting…

量子物理 · 物理学 2009-11-07 Benjamin Rahn , Andrew C. Doherty , Hideo Mabuchi

We analyse a generalised 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 multi-component cat states (coherent-state superpositions).…

量子物理 · 物理学 2016-10-26 Marcel Bergmann , Peter van Loock

We investigate the usage of highly efficient error correcting codes of multilevel systems to protect encoded quantum information from erasure errors and implementation to repetitively correct these errors. Our scheme makes use of quantum…

量子物理 · 物理学 2017-01-23 Sreraman Muralidharan , Chang-Ling Zou , Linshu Li , Jianming Wen , Liang Jiang

The essential insight of quantum error correction was that quantum information can be protected by suitably encoding this quantum information across multiple independently erred quantum systems. Recently it was realized that, since the most…

量子物理 · 物理学 2007-05-23 Dave Bacon , Andrea Casaccino

Quantum convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of quantum convolutional code, I report a way to decode certain quantum convolutional codes based on the…

量子物理 · 物理学 2009-10-31 H. F. Chau

We outline a quantum convolutional coding technique for protecting a stream of classical bits and qubits. Our goal is to provide a framework for designing codes that approach the ``grandfather'' capacity of an entanglement-assisted quantum…

量子物理 · 物理学 2008-10-20 Mark M. Wilde , Todd A. Brun

Quantum error-correcting codes (QECCs) and decoherence-free subspace (DFS) codes provide active and passive means, respectively, to address certain types of errors that arise during quantum computation. The latter technique is suitable to…

量子物理 · 物理学 2024-07-02 Nihar Ranjan Dash , Sanjoy Dutta , R. Srikanth , Subhashish Banerjee

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…

量子物理 · 物理学 2023-08-23 Zhaoyi Li , Isaac Kim , Patrick Hayden

An error prevention procedure based on two-particle encoding is proposed for protecting an arbitrary unknown quantum state from dissipation, such as phase damping and amplitude damping. The schemes, which exhibits manifestation of the…

量子物理 · 物理学 2009-10-30 Lu-Ming Duan , Guang-Can Guo

In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to half the code distance and must output a unique answer.…

量子物理 · 物理学 2025-09-12 Rahul Arvind , Nikhil Bansal , Dax Enshan Koh , Tobias Haug , Kishor Bharti

Quantum Error-Correcting Codes (QECCs) play a crucial role in enhancing the robustness of quantum computing and communication systems against errors. Within the realm of QECCs, stabilizer codes, and specifically graph codes, stand out for…

量子物理 · 物理学 2024-03-29 Zipeng Wu , Song Cheng , Bei Zeng

Powerful Quantum Error Correction Codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed…

量子物理 · 物理学 2015-03-10 Zunaira Babar , Panagiotis Botsinis , Dimitrios Alanis , Soon Xin Ng , Lajos Hanzo

A promising strategy to protect quantum information from noise-induced errors is to encode it into the low-energy states of a topological quantum memory device. However, readout errors from such memory under realistic settings is less…

量子物理 · 物理学 2024-01-15 Weishun Zhong , Oles Shtanko , Ramis Movassagh

To improve the efficiency of the encoding and the decoding is the important problem in the quantum error correction. In a preceding work, a general algorithm for decoding the stabilizer code is shown. This paper will show an decoding which…

量子物理 · 物理学 2007-05-23 Kenichiro Furuta

The constituent parts of a quantum computer are inherently vulnerable to errors. To this end we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a…

量子物理 · 物理学 2016-08-24 Benjamin J. Brown , Naomi H. Nickerson , Dan E. Browne

Proposals for quantum computing devices are many and varied. They each have unique noise processes that make none of them fully reliable at this time. There are several error correction/avoidance techniques which are valuable for reducing…

量子物理 · 物理学 2015-06-26 Mark S. Byrd , Daniel A. Lidar

It is important to protect quantum information against decoherence and operational errors, and quantum error-correcting (QEC) codes are the keys to solving this problem. Of course, just the existence of codes is not efficient. It is…

量子物理 · 物理学 2007-05-23 Jumpei Niwa , Keiji Matsumoto , Hiroshi Imai