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Distributed quantum computation requires quantum operations that act over a distance on error-correction encoded states of logical qubits, such as the transfer of qubits via teleportation. We evaluate the performance of several quantum…

量子物理 · 物理学 2007-10-11 Rodney Van Meter , Kae Nemoto , W. J. Munro

Dynamical quantum error-correcting codes (QECC) offer wider possibilities in how one can protect logical quantum information from noise and perform fault-tolerant quantum computation compared to static QECCs. A family of dynamical QECCs…

量子物理 · 物理学 2025-01-10 Andrew Tanggara , Mile Gu , Kishor Bharti

Quantum error-correcting codes (QECCs) sit between noisy quantum hardware and reliable computation, so the code parameters used in practice must be trustworthy. The single number that summarizes a code's strength is its distance, yet…

量子物理 · 物理学 2026-05-19 Mattias Ehatamm , Yi Lee , Xiaodi Wu , Runzhou Tao

Quantum error-correcting codes protect fragile quantum information by encoding it redundantly, but identifying codes that perform well in practice with minimal overhead remains difficult due to the combinatorial search space and the high…

量子物理 · 物理学 2026-01-27 Yihua Chengyu , Richard Meister , Conor Carty , Sheng-Ku Lin , Roberto Bondesan

We consider the problem of optimally decoding a quantum error correction code -- that is to find the optimal recovery procedure given the outcomes of partial "check" measurements on the system. In general, this problem is NP-hard. However,…

量子物理 · 物理学 2009-11-13 David Poulin

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure…

量子物理 · 物理学 2011-02-22 David S. Wang , Austin G. Fowler , Lloyd C. L. Hollenberg

Quantum error correction is expected to be essential in large-scale quantum technologies. However, the substantial overhead of qubits it requires is thought to greatly limit its utility in smaller, near-term devices. Here we introduce a new…

量子物理 · 物理学 2020-01-20 David Layden , Mo Chen , Paola Cappellaro

Quantum computers are highly susceptible to errors due to unintended interactions with their environment. It is crucial to correct these errors without gaining information about the quantum state, which would result in its destruction…

量子物理 · 物理学 2024-03-22 Santiago Lopez , Jonathan Andrade Plascencia , Gabriel N. Perdue

There is a connection between classical codes, highly entangled pure states (called k-uniform or absolutely maximally entangled (AME) states), and quantum error correcting codes (QECCs). This leads to a systematic method to construct…

量子物理 · 物理学 2021-01-19 Zahra Raissi

Quantum networks aim to facilitate the fault-tolerant and secure transmission of quantum states across distant devices. The widely adopted quantum teleportation scheme requires multiple rounds of entanglement swapping and purification,…

量子物理 · 物理学 2025-11-14 IlKwon Sohn , Boseon Kim , Kwangil Bae , Wooyeong Song , Chankyun Lee , Kabgyun Jeong , Wonhyuk Lee

We show how to perform error correction of single qubit dephasing by encoding a single qubit into a minimum of three. This may be performed in a manner closely analogous to classical error correction schemes. Further, the resulting quantum…

量子物理 · 物理学 2007-05-23 Samuel L. Braunstein

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…

量子物理 · 物理学 2019-10-14 Joschka Roffe

Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing. We experimentally demonstrate a…

量子物理 · 物理学 2015-11-23 Shuhong Hao , Xiaolong Su , Caixing Tian , Changde Xie , Kunchi Peng

Quantum burst error correction codes (QBECCs) are of great importance to deal with the memory effect in quantum channels. As the most important family of QBECCs, quantum cyclic codes (QCCs) play a vital role in the correction of burst…

量子物理 · 物理学 2026-02-03 Jihao Fan , Min-Hsiu Hsieh

We propose fault-tolerant encoders for quantum low-density parity check (LDPC) codes. By grouping qubits within a quantum code over contiguous blocks and applying preshared entanglement across these blocks, we show how transversal…

量子物理 · 物理学 2024-05-27 Abhi Kumar Sharma , Shayan Srinivasa Garani

The construction of quantum error-correcting codes (QECCs) with good parameters is a hot topic in the area of quantum information and quantum computing. Quantum maximum distance separable (QMDS) codes are optimal because the minimum…

量子物理 · 物理学 2024-06-18 Shanqi Pang , Mengqian Chen , Rong Yan , Yan Zhu

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

Current quantum processors are fragile, noisy and fairly limited in both quantity and quality with tens of qubits and physical error rates of around 10^-3. To realize practical quantum applications, however, error rates need to be below…

量子物理 · 物理学 2025-04-25 Hany Ali

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 present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

量子物理 · 物理学 2009-11-11 R. Renner , N. Gisin , B. Kraus