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相关论文: Experimental Quantum Error Correction

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Quantum error-correcting codes so far proposed have not worked in the presence of noise which introduces more than one bit of entropy per qubit sent through a quantum channel, nor can any code which identifies the complete error syndrome.…

量子物理 · 物理学 2008-02-03 Peter W. Shor , John A. Smolin

Probabilistic quantum error correction is an error-correcting procedure which uses postselection to determine if the encoded information was successfully restored. In this work, we deeply analyze probabilistic version of the…

量子物理 · 物理学 2023-04-12 Ryszard Kukulski , Łukasz Pawela , Zbigniew Puchała

Quantum computation is a subject of much theoretical promise, but has not been realized in large scale, despite the discovery of fault-tolerant procedures to overcome decoherence. Part of the reason is that the theoretically modest…

计算复杂性 · 计算机科学 2007-05-23 Debbie W. Leung

Noise and errors are inevitable parts of any practical implementation of a quantum computer. As a result, large-scale quantum computation will require ways to detect and correct errors on quantum information. Here, we present such a quantum…

Quantum error correction protects quantum information against environmental noise. When using qubits, a measure of quality of a code is the maximum number of errors that it is able to correct. We show that a suitable notion of ``number of…

量子物理 · 物理学 2007-05-23 Emanuel Knill , Raymond Laflamme , Lorenza Viola

Quantum computing promises to solve problems previously deemed infeasible. However, high error rates necessitate quantum error correction for practical applications. Seminal experiments with zoned neutral atom architectures have shown…

量子物理 · 物理学 2025-06-03 Yannick Stade , Ludwig Schmid , Lukas Burgholzer , Robert Wille

A five-qubit codeword stabilized quantum code is implemented in a seven-qubit system using nuclear magnetic resonance (NMR). Our experiment implements a good nonadditive quantum code which encodes a larger Hilbert space than any stabilizer…

量子物理 · 物理学 2012-06-18 Jingfu Zhang , Markus Grassl , Bei Zeng , Raymond Laflamme

It has recently been shown that there are efficient algorithms for quantum computers to solve certain problems, such as prime factorization, which are intractable to date on classical computers. The chances for practical implementation,…

量子物理 · 物理学 2009-10-30 Adriano Barenco , Todd A. Brun , Ruediger Schack , Tim Spiller

We propose a new scheme for quantum error correction using robust continuous variable probe modes, rather than fragile ancilla qubits, to detect errors without destroying data qubits. The use of such probe modes reduces the required number…

量子物理 · 物理学 2009-11-11 Fumiko Yamaguchi , Kae Nemoto , William J. Munro

This is an expository article aiming to introduce the reader to the underlying mathematics and geometry of quantum error correction. Information stored on quantum particles is subject to noise and interference from the environment. Quantum…

量子物理 · 物理学 2024-01-10 Simeon Ball , Aina Centelles , Felix Huber

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

Performing experiments on small-scale quantum computers is certainly a challenging endeavor. Many parameters need to be optimized to achieve high-fidelity operations. This can be done efficiently for operations acting on single qubits as…

量子物理 · 物理学 2016-08-31 M. Müller , A. Rivas , E. A. Martínez , D. Nigg , P. Schindler , T. Monz , R. Blatt , M. A. Martin-Delgado

Error-correcting codes were invented to correct errors on noisy communication channels. Quantum error correction (QEC), however, may have a wider range of uses, including information transmission, quantum simulation/computation, and…

量子物理 · 物理学 2022-08-05 Ningping Cao , Junan Lin , David Kribs , Yiu-Tung Poon , Bei Zeng , Raymond Laflamme

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…

量子物理 · 物理学 2009-10-30 Seth Lloyd , Jean-Jacques E. Slotine

Characterizing and mitigating errors in current noisy intermediate-scale devices is important to improve performance of next generations of quantum hardware. In order to investigate the importance of the different noise mechanisms affecting…

量子物理 · 物理学 2023-02-14 Gabriele Cenedese , Giuliano Benenti , Maria Bondani

We investigate the use of Quantum Neural Networks for discovering and implementing quantum error-correcting codes. Our research showcases the efficacy of Quantum Neural Networks through the successful implementation of the Bit-Flip quantum…

量子物理 · 物理学 2023-04-14 A. Chalkiadakis , M. Theocharakis , G. D. Barmparis , G. P. Tsironis

Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information storage and transmission. We report the implementation of a concatenated quantum error-correcting code able to correct…

量子物理 · 物理学 2009-11-10 Nicolas Boulant , Lorenza Viola , Evan M. Fortunato , David G. Cory

We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing…

量子物理 · 物理学 2007-05-23 Raymond Laflamme , Cesar Miquel , Juan Pablo Paz , Wojciech Hubert Zurek

A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not…

量子物理 · 物理学 2009-10-28 A. R. Calderbank , Peter W. Shor

The precision and sensitivity achievable in quantum metrology are often compromised by the presence of noise. While quantum error correction has emerged as a promising strategy, it is ineffective in addressing noise that is…

量子物理 · 物理学 2026-05-25 Xiaodie Lin , Linxuan Li , Haidong Yuan