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Quantum Error Correction (QEC) exploits redundancy by encoding logical information into multiple physical qubits. In current implementations of QEC, sequences of non-perfect two-qubit entangling gates are used to codify the information…

量子物理 · 物理学 2023-12-14 Andrea Rodriguez-Blanco , Farid Shahandeh , Alejandro Bermudez

Quantum information processing offers dramatic speedups, yet is famously susceptible to decoherence, the process whereby quantum superpositions decay into mutually exclusive classical alternatives, thus robbing quantum computers of their…

量子物理 · 物理学 2014-08-21 Kristen L. Pudenz , Tameem Albash , Daniel A. Lidar

We present a general theory of entanglement-assisted quantum convolutional coding. The codes have a convolutional or memory structure, they assume that the sender and receiver share noiseless entanglement prior to quantum communication, and…

量子物理 · 物理学 2013-04-15 Mark M. Wilde , Todd A. Brun

If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information…

量子物理 · 物理学 2024-08-27 Paula Belzig

We propose a single auxiliary-assisted purification-based framework for quantum error correction, capable of correcting errors that drive a system from its ground-state subspace into excited-state sectors. The protocol consists of a joint…

量子物理 · 物理学 2025-12-11 Chandrima B. Pushpan , Tanoy Kanti Konar , Aditi Sen De , Amit Kumar Pal

The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and…

量子物理 · 物理学 2013-05-17 Ching-Yi Lai , Todd A. Brun , Mark M. Wilde

We show that quantum feedback control can be used as a quantum error correction process for errors induced by weak continuous measurement. In particular, when the error model is restricted to one, perfectly measured, error channel per…

量子物理 · 物理学 2009-11-10 Charlene Ahn , H. W. Wiseman , G. J. Milburn

A significant obstacle for practical quantum computation is the loss of physical qubits in quantum computers, a decoherence mechanism most notably in optical systems. Here we experimentally demonstrate, both in the quantum circuit model and…

量子物理 · 物理学 2016-05-16 Chao-Yang Lu , Wei-Bo Gao , Jin Zhang , Xiao-Qi Zhou , Tao Yang , Jian-Wei Pan

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

量子物理 · 物理学 2007-10-07 Jaeyoon Cho

In the previous research by Grassl, Huber and Winter, they proved a theorem which can make entanglement-assisted quantum error-correcting codes (EAQECC) from general quantum error-correcting codes (QECC). In this paper, we prove that the…

量子物理 · 物理学 2022-05-30 Daiki Ueno , Ryutaroh Matsumoto

In this paper, we introduce a unified framework to construct entanglement-assisted quantum error-correcting codes, including additive and nonadditive codes, based on the codeword stabilized framework on subsystems. The codeword stabilized…

量子物理 · 物理学 2013-11-08 Jeonghwan Shin , Jun Heo , Todd A. Brun

The key realisation which lead to the emergence of the new field of quantum information processing is that quantum mechanics, the theory that describes microscopic particles, allows the processing of information in fundamentally new ways.…

量子物理 · 物理学 2009-11-10 N. Gisin , N. Linden , S. Massar , S. Popescu

We study entanglement fluctuations and quantum error correction in the weakly monitored volume-law phase of quantum automaton circuits subject to repeated local measurements. We numerically observe that the entanglement entropy exhibits…

量子物理 · 物理学 2023-01-19 Yiqiu Han , Xiao Chen

We identify optimal quantum error correction codes for situations that do not admit perfect correction. We provide analytic n-qubit results for standard cases with correlated errors on multiple qubits and demonstrate significant…

量子物理 · 物理学 2015-06-15 Sol H. Jacobsen , Florian Mintert

We present a procedure inspired by dense coding, which enables a highly efficient transmission of information of a continuous nature. The procedure requires the sender and the recipient to share a maximally entangled state. We deal with the…

量子物理 · 物理学 2009-11-10 E. Bagan , M. Baig , R. Munoz-Tapia

Quantum transduction is a key technology for connecting different quantum technologies across varied frequencies. However, it remains a major challenge to overcome the high threshold for achieving positive capacity of traditional quantum…

量子物理 · 物理学 2025-03-27 Yu-Bo Hou , Rui-Zhe You , Di-Jia Zhang , Pengbo Li , Changchun Zhong

Quantum error-correcting codes are used to protect quantum information from decoherence. A raw state is mapped, by an encoding circuit, to a codeword so that the most likely quantum errors from a noisy quantum channel can be removed after a…

量子物理 · 物理学 2021-04-30 Kao-Yueh Kuo , Ching-Yi Lai

Entanglement-assisted concatenated quantum codes (EACQCs), constructed by concatenating two quantum codes, are proposed. These EACQCs show several advantages over the standard concatenated quantum codes (CQCs). Several families of EACQCs…

量子物理 · 物理学 2023-02-28 Jihao Fan , Jun Li , Yongbin Zhou , Min-Hsiu Hsieh , H. Vincent Poor

Quantum annealing provides a promising route for the development of quantum optimization devices, but the usefulness of such devices will be limited in part by the range of implementable problems as dictated by hardware constraints. To…

量子物理 · 物理学 2015-10-14 Walter Vinci , Tameem Albash , Gerardo Paz-Silva , Itay Hen , Daniel A. Lidar

We explore the intersection of studies in quantum error correction and quantum local operations and classical communication (LOCC). We consider one-way LOCC measurement protocols as quantum channels and investigate their error correction…

量子物理 · 物理学 2019-05-01 David Kribs , Comfort Mintah , Michael Nathanson , Rajesh Pereira