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This is a brief description of how to protect quantum states from dissipation and decoherence that arise due to uncontrolled interactions with the environment. We discuss recoherence and stabilisation of quantum states based on two…

量子物理 · 物理学 2007-05-23 A. Ekert , C. Macchiavello

Controlled preparation of highly pure quantum states is at the core of practical applications of quantum information science, from the state initialization of most quantum algorithms to a reliable supply of ancilla qubits that satisfy the…

We describe a scheme for quantum error correction that employs feedback and weak measurement rather than the standard tools of projective measurement and fast controlled unitary gates. The advantage of this scheme over previous protocols…

量子物理 · 物理学 2009-11-10 Mohan Sarovar , Charlene Ahn , Kurt Jacobs , Gerard J. Milburn

Quantum error mitigation is expected to play a crucial role in the practical applications of quantum machines for the foreseeable future. Thus it is important to put the numerous quantum error mitigation schemes proposed under a coherent…

量子物理 · 物理学 2023-09-19 Zhenyu Cai

Quantum error mitigation, a data processing technique for recovering the statistics of target processes from their noisy version, is a crucial task for near-term quantum technologies. Most existing methods require prior knowledge of the…

量子物理 · 物理学 2025-04-04 Manwen Liao , Yan Zhu , Giulio Chiribella , Yuxiang Yang

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

Experimental realization of automated error correction is demonstrated through IBM Quantum Experience for Bell and GHZ states using a measurement based approach upon ancilla qubits. The measurement automatically activates error correcting…

Probabilistic error cancellation is a quantum error mitigation technique capable of producing unbiased computation results but requires an accurate error model. Constructing this model involves estimating a set of parameters, which, in the…

量子物理 · 物理学 2026-01-12 Haipeng Xie , Nobuyuki Yoshioka , Kento Tsubouchi , Ying Li

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

We demonstrate that continuous-variable quantum error correction based on Gaussian ancilla states and Gaussian operations (for encoding, syndrome extraction, and recovery) can be very useful to suppress the effect of non-Gaussian error…

量子物理 · 物理学 2008-11-24 Peter van Loock

Coherent gate errors are a concern in many proposed quantum computing architectures. These errors can be effectively handled through composite pulse sequences for single-qubit gates, however, such techniques are less feasible for entangling…

Error correction, in the standard meaning of the term, implies the ability to correct all small analog errors and some large errors. Examining assumptions at the basis of the recently proposed quantum error-correcting codes, it is pointed…

量子物理 · 物理学 2007-05-23 Subhash Kak

A universal and fault tolerant scheme for quantum computation is proposed which utilizes a class of error correcting codes that is based on the detection of spontaneous emission (of, e.g., photons, phonons, and ripplons). The scheme is…

量子物理 · 物理学 2016-09-08 Kaveh L. Khodjasteh , Daniel A. Lidar

A major challenge in performing quantum error correction (QEC) is implementing reliable measurements and conditional feed-forward operations. In quantum computing platforms supporting unconditional qubit resets, or a constant supply of…

量子物理 · 物理学 2024-12-23 Stefano Veroni , Markus Müller , Giacomo Giudice

Quantum error correction codes are usually designed to correct errors regardless of their physical origins. In large-scale devices, this is an essential feature. In smaller-scale devices, however, the main error sources are often…

量子物理 · 物理学 2020-06-05 David Layden , Louisa Ruixue Huang , Paola Cappellaro

We describe and analyze leakage errors of singlet-triplet qubits. Even though leakage errors are a natural problem for spin qubits encoded using quantum dot arrays, they have obtained little attention in previous studies. We describe the…

量子物理 · 物理学 2015-02-24 Sebastian Mehl , Hendrik Bluhm , David P. DiVincenzo

Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are eliminated by the natural error-correcting features of the…

量子物理 · 物理学 2007-05-23 Seth Lloyd , Benjamin Rahn , Charlene Ahn

An error correcting mechanism is proposed in the context of the Quantum Interference Computer approach

量子物理 · 物理学 2008-07-23 A. Y. Shiekh

The principal obstacle to quantum information processing with many qubits is decoherence. One source of decoherence is spontaneous emission which causes loss of energy and information. Inability to control system parameters with high…

量子物理 · 物理学 2007-05-23 Almut Beige

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