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We show that entirely quantum Shannon theoretic methods, based on von Neumann entropies and their properties, can be used to derive Singleton bounds on the performance of entanglement-assisted hybrid classical-quantum (EACQ) error…

量子物理 · 物理学 2024-09-25 Manideep Mamindlapally , Andreas Winter

In this work, we propose a soft covering problem for fully quantum channels using relative entropy as a criterion for operator closeness. We establish covering lemmas by deriving one-shot bounds on the achievable rates in terms of smooth…

信息论 · 计算机科学 2026-02-24 Xingyi He , S. Sandeep Pradhan

Squashed entanglement and entanglement of purification are quantum mechanical correlation measures and defined as certain minimisations of entropic quantities. We present the first non-trivial calculations of both quantities. Our results…

量子物理 · 物理学 2007-05-23 Matthias Christandl , Andreas Winter

Quantum channel discrimination is a fundamental task in quantum information processing. In the one-shot regime, discrimination between two candidate channels is characterized by the diamond norm. Beyond this basic setting, however, many…

量子物理 · 物理学 2026-03-13 Chengkai Zhu , Shuyu He , Gereon Koßmann , Xin Wang

Contrary to the assumption that most quantum error-correcting codes (QECC) make, it is expected that phase errors are much more likely than bit errors in physical devices. By employing the entanglement-assisted stabilizer formalism, we…

量子物理 · 物理学 2011-04-27 Yuichiro Fujiwara , Min-Hsiu Hsieh

Entanglement concentration is a critical technique to prevent degraded fidelity and security in long-distance quantum communication. We propose novel practical entanglement concentration protocols (ECPs) for less-entangled Bell and…

量子物理 · 物理学 2023-04-05 Gui-Long Jiang , Wen-Qiang Liu , Hai-Rui Wei

One of the main problems in quantum information systems is the presence of errors due to noise, and for this reason quantum error-correcting codes (QECCs) play a key role. While most of the known codes are designed for correcting generic…

量子物理 · 物理学 2021-04-12 Marco Chiani , Lorenzo Valentini

We present a simple protocol to purify bipartite entanglement in spin-1/2 particles by utilizing only natural spin-spin interactions, i.e. those that can commonly be realized in realistic physical systems, and S_z-measurements on single…

量子物理 · 物理学 2008-10-23 Koji Maruyama , Franco Nori

Quantum low density parity check (QLDPC) codes are useful primitives for quantum information processing because they can be encoded and decoded efficiently. Besides, the error correcting capability of a few QLDPC codes exceeds the quantum…

量子物理 · 物理学 2008-07-15 K. H. Ho , H. F. Chau

We use a map to quantum error-correcting codes and a subspace projection to get lower bounds for minimal homological distances in a tensor product of two chain complexes of vector spaces over a finite field. Homology groups of such a…

量子物理 · 物理学 2021-06-28 Weilei Zeng , Leonid P. Pryadko

We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard…

量子物理 · 物理学 2007-05-23 Todd Brun , Igor Devetak , Min-Hsiu Hsieh

We study the short-time evolution of the bipartite entanglement in quantum lattice systems with local interactions in terms of the purity of the reduced density matrix. A lower bound for the purity is derived in terms of the eigenvalue…

量子物理 · 物理学 2010-06-29 R. G. Unanyan , D. Muth , M. Fleischhauer

Quantum communication is a secure way to transfer quantum information and to communicate with legitimate parties over distant places in a network. Although communication over a long distance has already been attained, technical problem…

量子物理 · 物理学 2019-03-07 Bikash K. Behera , Swarnadeep Seth , Antariksha Das , Prasanta K. Panigrahi

The first stage of the hybrid quantum repeaters is entanglement generation based on transmission of pulses in coherent states over a lossy channel. Protocols to make entanglement with only one type of error are favorable for rendering…

量子物理 · 物理学 2015-05-13 Koji Azuma , Naoya Sota , Masato Koashi , Nobuyuki Imoto

The certification of quantum systems is essential for emerging quantum technologies, particularly in quantum communication, networks, and distributed computing, where maintaining a common reference frame across distant nodes poses…

量子物理 · 物理学 2026-04-17 Julian Eisfeld , Nikolai Wyderka

The act of measuring optical emissions from two remote qubits can entangle them. By demanding that a photon from each qubit reaches the detectors, one can ensure than no photon was lost. But the failure rate then rises quadratically with…

量子物理 · 物理学 2009-06-09 Earl T. Campbell , Simon C. Benjamin

We present two realistic entanglement concentration protocols (ECPs) for pure partially entangled photons. A partially entangled photon pair can be concentrated to a maximally entangled pair with only an ancillary single photon in a certain…

量子物理 · 物理学 2015-06-04 Yu-Bo Sheng , Lan Zhou , Sheng-Mei Zhao , Bao-Yu Zheng

In this article, we present the unbalanced quantum error correcting codes(one-party-QECC), a novel idea for correcting unbalanced quantum errors. In some quantum communication tasks using entangled pairs, the error distributions between two…

量子物理 · 物理学 2007-05-23 Kai Wen , Gui Lu Long

An unexpected breakdown in the existing theory of quantum serial turbo coding is that a quantum convolutional encoder cannot simultaneously be recursive and non-catastrophic. These properties are essential for quantum turbo code families to…

量子物理 · 物理学 2014-01-28 Mark M. Wilde , Min-Hsiu Hsieh , Zunaira Babar

Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder…

量子物理 · 物理学 2025-02-18 Yulong Dong , Jonathan A. Gross , Murphy Yuezhen Niu