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Quantum error correcting codes enable the information contained in a quantum state to be protected from decoherence due to external perturbations. Applied to NMR, quantum coding does not alter normal relaxation, but rather converts the…

One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations. Existing proposals for quantum memories…

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

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…

量子物理 · 物理学 2007-05-23 I. L. Chuang , R. Laflamme

Quantum error correction is capable of digitizing quantum noise and increasing the robustness of qubits. Typically, error correction is designed with the target of eliminating all errors - making an error so unlikely it can be assumed that…

量子物理 · 物理学 2022-05-20 Salonik Resch , Ulya R. Karpuzcu

Quantum systems can be used to measure various quantities in their environment with high precision. Often, however, their sensitivity is limited by the decohering effects of this same environment. Dynamical decoupling schemes are widely…

量子物理 · 物理学 2018-07-18 David Layden , Paola Cappellaro

We report the implementation of a 3-qubit quantum error correction code (QECC) on a quantum information processor realized by the magnetic resonance of Carbon nuclei in a single crystal of Malonic Acid. The code corrects for phase errors…

量子物理 · 物理学 2011-12-21 Osama Moussa , Jonathan Baugh , Colm A. Ryan , Raymond Laflamme

The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment. The theory of quantum error correction provides a scheme by which the effects…

量子物理 · 物理学 2022-08-02 Akshaya Jayashankar , Prabha Mandayam

Bosonic systems offer unique advantages for quantum error correction, as a single bosonic mode provides a large Hilbert space to redundantly encode quantum information. However, previous studies have been limited to exploiting symmetries in…

量子物理 · 物理学 2025-08-21 Dong-Long Hu , Weizhou Cai , Chang-Ling Zou , Ze-Liang Xiang

Quantum computation and communication rely on the ability to manipulate quantum states robustly and with high fidelity. Thus, some form of error correction is needed to protect fragile quantum superposition states from corruption by…

Quantum computation and communication are important branches of quantum information science. However, noise in realistic quantum devices fundamentally limits the utility of these quantum technologies. A conventional approach towards…

量子物理 · 物理学 2021-03-18 Kyungjoo Noh

Quantum computers require error correction to achieve universal quantum computing. However, current decoding of quantum error-correcting codes relies on classical computation, which is slower than quantum operations in superconducting…

量子物理 · 物理学 2025-06-11 Pan Zhang

Quantum-enhanced measurements hold the promise to improve high-precision sensing ranging from the definition of time standards to the determination of fundamental constants of nature. However, quantum sensors lose their sensitivity in the…

量子物理 · 物理学 2018-01-11 F. Reiter , A. S. Sørensen , P. Zoller , C. A. Muschik

We construct concatenated capacity-achieving quantum codes for noisy optical quantum channels. We demonstrate that the error-probability of capacity-achieving quantum polar encoding can be reduced by the proposed low-complexity…

量子物理 · 物理学 2013-02-14 Laszlo Gyongyosi , Sandor Imre

Collective coherent noise poses challenges for fault-tolerant quantum error correction (FTQEC), as it falls outside the usual stochastic noise models. While constant excitation (CE) codes can naturally avoid coherent noise, a complete…

量子物理 · 物理学 2025-07-15 Ching-Yi Lai , Pei-Hao Liou , Yingkai Ouyang

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

Construction of a fault-tolerant quantum computer remains a challenging problem due to unavoidable noise in quantum states and the fragility of quantum entanglement. However, most of the error-correcting codes increases the complexity of…

量子物理 · 物理学 2022-10-28 Kumar Nilesh , Piyush Joshi , Prasanta Panigrahi

Crosstalk and several sources of operational interference are invisible when qubit or a gate is calibrated or benchmarked in isolation. These are unlocked during the execution of full quantum circuit applying entangling gates to several…

量子物理 · 物理学 2022-03-02 Muhammad Ahsan

Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum information processors. Therefore, quantum error correction (QEC) that can protect quantum information…

量子物理 · 物理学 2021-01-26 W. Cai , Y. Ma , W. Wang , C. -L. Zou , L. Sun

Active quantum error correction is a central ingredient to achieve robust quantum processors. In this paper we investigate the potential of quantum machine learning for quantum error correction in a quantum memory. Specifically, we…

量子物理 · 物理学 2023-03-15 David F. Locher , Lorenzo Cardarelli , Markus Müller

We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information. Specifically, we propose to encode the transmitted qubits in a…

量子物理 · 物理学 2021-06-24 Filip Rozpędek , Kyungjoo Noh , Qian Xu , Saikat Guha , Liang Jiang