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The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes assumes that the ebits of the receiver are error-free. In practical situations, errors on these ebits are unavoidable, which diminishes the error-correcting ability…

量子物理 · 物理学 2012-09-26 Ching-Yi Lai , Todd A. Brun

One hurdle to performing reliable quantum computations is overcoming noise. One possibility is to reduce the number of particles needing to be protected from noise and instead use systems with more states, so called qudit quantum computers.…

量子物理 · 物理学 2022-04-27 Lane G. Gunderman

Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated…

量子物理 · 物理学 2020-10-20 Daryus Chandra , Zunaira Babar , Soon Xin Ng , Lajos Hanzo

Quantum synchronizable error-correcting codes are special quantum error-correcting codes that are designed to correct both the effect of quantum noise on qubits and misalignment in block synchronization. It is known that in principle such a…

量子物理 · 物理学 2014-11-17 Yuichiro Fujiwara , Peter Vandendriessche

A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern…

Experimental realization of stabilizer-based quantum error correction (QEC) codes that would yield superior logical qubit performance is one of the formidable task for state-of-the-art quantum processors. A major obstacle towards realizing…

量子物理 · 物理学 2022-03-14 I. A. Simakov , I. S. Besedin , A. V. Ustinov

Quantum computers connected through classical and quantum communication channels can be combined to function as a single unit to run large quantum circuits that each device is unable to execute on their own. The distributed quantum…

量子物理 · 物理学 2026-02-04 Leo Sünkel , Michael Kölle , Tobias Rohe , Claudia Linnhoff-Popien

We study the performance of common quantum stabilizer codes in the presence of asymmetric and correlated errors. Specifically, we consider the depolarizing noisy quantum memory channel and perform quantum error correction via the five and…

量子物理 · 物理学 2015-05-19 Carlo Cafaro , Stefano Mancini

Continuous-variable quantum computing architectures based upon the Gottesmann-Kitaev-Preskill (GKP) encoding have emerged as a promising candidate because one can achieve fault-tolerance with a probabilistic supply of GKP states and…

量子物理 · 物理学 2024-02-07 Matthew P. Stafford , Nicolas C. Menicucci

Quantum error correction (QEC) requires the execution of deep quantum circuits with large numbers of physical qubits to protect information against errors. Designing protocols that can reduce gate and space-time overheads of QEC is…

量子物理 · 物理学 2025-12-15 Laura Pecorari , Sven Jandura , Guido Pupillo

Orthogonal geometric constructions are the basis of many many quantum error-correcting codes (QEC), but strict orthogonality constraints limit design flexibility and resource efficiency. We introduce a quasi-orthogonal geometric framework…

Quantum error correction is an important ingredient for scalable quantum computing. Stabilizer codes are one of the most promising and straightforward ways to correct quantum errors, are convenient for logical operations, and improve…

量子物理 · 物理学 2025-02-07 Ilya. A. Simakov , Ilya. S. Besedin

Quantum computers have the potential to provide exponential speedups over their classical counterparts. Quantum principles are being applied to fields such as communications, information processing, and artificial intelligence to achieve…

量子物理 · 物理学 2024-03-21 Arijit Mondal , Keshab K. Parhi

Quantum Error Correction (QEC) codes store information reliably in logical qubits by encoding them in a larger number of less reliable qubits. The surface code, known for its high resilience to physical errors, is a leading candidate for…

量子物理 · 物理学 2025-06-13 Satvik Maurya , Swamit Tannu

Quantum error correction (QEC) promises to exponentially suppress qubit noise, but typically assumes spatially-uniform and temporally-constant noise rates. However, real quantum hardware exhibits variation in noise levels over time, which…

量子物理 · 物理学 2026-05-08 Maxwell Poster , Jason Chadwick , Jonathan Mark Baker

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

Fault-tolerant quantum computation (FTQC) is expected to address a wide range of computational problems. To realize large-scale FTQC, it is essential to encode logical qubits using quantum error-correcting codes. High-rate concatenated…

量子物理 · 物理学 2026-01-27 Takeshi Kakizaki

The demonstration of quantum error correction (QEC) is one of the most important milestones in the realization of fully-fledged quantum computers. Toward this, QEC experiments using the surface codes have recently been actively conducted.…

量子物理 · 物理学 2024-01-12 Mitsuki Katsuda , Kosuke Mitarai , Keisuke Fujii

Dissipative quantum error correction (QEC) autonomously protects quantum information using engineered dissipation and offers a promising alternative to error correction via measurement and feedback. However, scalability remains a challenge,…

量子物理 · 物理学 2026-03-19 Ivan Rojkov , Elias Zapusek , Florentin Reiter

Quantum error correction (QEC) is an essential concept for any quantum information processing device. Typically, QEC is designed with minimal assumptions about the noise process; this generic assumption exacts a high cost in efficiency and…

量子物理 · 物理学 2007-06-26 Andrew S. Fletcher