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We construct an entanglement measure that coincides with the generalized concurrence for a general pure bipartite state based on wedge product. Moreover, we construct an entanglement measure for pure multi-qubit states, which are…

量子物理 · 物理学 2007-05-23 Hoshang Heydari

We present a new measure of entanglement for mixed states. It can be approximately computable for every state and can be used to quantify all different types of multipartite entanglement. We show that it satisfies the usual properties of a…

量子物理 · 物理学 2007-05-23 Fernando G. S. L. Brandao , Reinaldo O. Vianna

Entanglement plays a fundamental role in quantum physics and information processing. Here, we develop an unbiased estimator for mixed-state entanglement in the few-shot scenario and directly estimate it using random unitary evolution in a…

量子物理 · 物理学 2024-07-09 Gong-Chu Li , Lei Chen , Si-Qi Zhang , Xu-Song Hong , You Zhou , Geng Chen , Chuan-Feng Li , Guang-Can Guo

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

We develop a recursive algorithm to generalize the quantum SWAP test for an arbitrary number $m$ of quantum states requiring $O(m)$ controlled-swap (CSWAP) gates and $O(\log m)$ ancillary qubits. We construct a quantum circuit able to…

量子物理 · 物理学 2021-10-27 Xavier Gitiaux , Ian Morris , Maria Emelianenko , Mingzhen Tian

We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state,…

Many protocols and experiments in quantum information science are described in terms of simple measurements on qubits. However, in a real implementation, the exact description is more difficult, and more complicated observables are used.…

量子物理 · 物理学 2010-09-28 Tobias Moroder , Otfried Gühne , Normand J. Beaudry , Marco Piani , Norbert Lütkenhaus

Entanglement -- the coherent correlations between parties in a joint quantum system -- is well-understood and quantifiable in the two-dimensional, two-party case. Higher (>2)-dimensional entangled systems hold promise in extending the…

量子物理 · 物理学 2022-10-20 Alexandria J. Moore , Andrew M. Weiner

Entanglement is a key property of quantum states that acts as a resource for a wide range of tasks in quantum computing. Entanglement detection is a key conceptual and practical challenge. Without adaptive or joint measurements,…

量子物理 · 物理学 2026-04-07 K. Bharati , Vikesh Siddhu , Krishna Jagannathan

A recent paper [Chuan Wang, Phys. Rev. A \textbf{86}, 012323 (2012)] discussed an entanglement concentration protocol (ECP) for partially entangled electrons using a quantum dot and microcavity coupled system. In his paper, each…

量子物理 · 物理学 2012-07-24 Yu-Bo Sheng , Lan Zhou , Lei Wang , Sheng-Mei Zhao

We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our…

量子物理 · 物理学 2013-05-29 Marcus Huber , Florian Mintert , Andreas Gabriel , Beatrix C. Hiesmayr

Quantum entanglement lies at the heart in quantum information processing tasks. Although many criteria have been proposed, efficient and scalable methods to detect the entanglement of generally given quantum states are still not available…

量子物理 · 物理学 2023-08-30 Lifeng Zhang , Zhihua Chen , Shao-Ming Fei

There has been a surge of progress in recent years in developing algorithms for testing and learning quantum states that achieve optimal copy complexity. Unfortunately, they require the use of entangled measurements across many copies of…

量子物理 · 物理学 2020-04-20 Sebastien Bubeck , Sitan Chen , Jerry Li

We present two results which combined enable one to reliably detect multimode, multipartite entanglement in the presence of measurement errors. The first result leads to a method to compute the best (approximated) physical covariance matrix…

量子物理 · 物理学 2016-10-05 E. Shchukin , P. van Loock

This thesis explores the use of entangled states in quantum computation and quantum information science. Entanglement, a quantum phenomenon with no classical counterpart, has been identified as an important and quantifiable resource in many…

量子物理 · 物理学 2008-08-12 Hyeyoun Chung

The entanglement measure for multiqudits is proposed. This measure calculates the partial entanglement distributed by subsystems and the complete entanglement of the total system. This shows that we need to measure the subsystem…

量子物理 · 物理学 2007-05-23 Hyuk-jae Lee , Sung Dahm Oh , Doyeol Ahn

We introduce and study a class of entanglement criteria based on the idea of applying local contractions to an input multipartite state, and then computing the projective tensor norm of the output. More precisely, we apply to a mixed…

量子物理 · 物理学 2020-10-14 Maria Anastasia Jivulescu , Cécilia Lancien , Ion Nechita

Entanglement detection is essential in quantum information science and quantum many-body physics. It has been proved that entanglement exists almost surely for a random quantum state, while the realizations of effective entanglement…

量子物理 · 物理学 2022-12-02 Pengyu Liu , Zhenhuan Liu , Shu Chen , Xiongfeng Ma

Multipartite entanglement is regarded as a crucial physical resource in quantum network communication. However, due to the intrinsic complexity of quantum many-body systems, identifying a multipartite entanglement measure that is both…

量子物理 · 物理学 2025-12-10 Yu Luo , Zhihua Guo , Fanxu Meng , Chen-Ming Bai

If only limited control over a multiparticle quantum system is available, a viable method to characterize correlations is to perform random measurements and consider the moments of the resulting probability distribution. We present…

量子物理 · 物理学 2021-04-23 Satoya Imai , Nikolai Wyderka , Andreas Ketterer , Otfried Gühne