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The determination of genuine entanglement is a central problem in quantum information processing. We investigate the tripartite state as the tensor product of two bipartite entangled states by merging two systems. We show that the…

量子物理 · 物理学 2021-02-03 Yize Sun , Lin Chen

We present a security proof for establishing private entanglement by means of recurrence-type entanglement distillation protocols over noisy quantum channels. We consider protocols where the local devices are imperfect, and show that…

量子物理 · 物理学 2017-11-20 Alexander Pirker , Vedran Dunjko , Wolfgang Dür , Hans J. Briegel

Motivated by the mathematical definition of entanglement we undertake a rigorous analysis of the separability and non-distillability properties in the neighborhood of those three-qubit mixed states which are entangled and completely…

量子物理 · 物理学 2009-11-10 Roman Orus , Rolf Tarrach

A new protocol for quantum key distribution based on entanglement swapping is presented. In this protocol, both certain key and random key can be generated without any loss of security. It is this property differs our protocol from the…

量子物理 · 物理学 2007-05-23 Chong Li , He-Shan Song , Ling Zhou , Chun-Feng Wu

Quantum entanglement is a key physical resource in quantum information processing that allows for performing basic quantum tasks such as teleportation and quantum key distribution, which are impossible in the classical world. Ever since the…

量子物理 · 物理学 2020-07-29 Xin Wang , Mark M. Wilde

Distribution and distillation of entanglement over quantum networks is a basic task for Quantum Internet applications. A fundamental question is then to determine the ultimate performance of entanglement distribution over a given network.…

量子物理 · 物理学 2020-08-17 Masahiro Takeoka , Eneet Kaur , Wojciech Roga , Mark M. Wilde

We use the probability of error as a measure of distinguishability between two pure and two mixed symmetric coherent states in the context of continuous variable quantum cryptography. We show that the two mixed symmetric coherent states (in…

量子物理 · 物理学 2007-05-23 Christian Weedbrook , Mile Gu , Andrew M. Lance , Thomas Symul , Ping Koy Lam , Timothy C. Ralph

We present a generalized tomographic quantum key distribution protocol in which the two parties share a Bell diagonal mixed state of two qubits. We show that if an eavesdropper performs a coherent measurement on many quantum ancilla states…

Studies on symmetric extendibility of quantum states become especially important in a context of analysis of one-way quantum measures of entanglement, distilabillity and security of quantum protocols. In this paper we analyse composite…

量子物理 · 物理学 2016-09-21 Marcin L. Nowakowski

Within entanglement theory there are criteria which certify that some quantum states cannot be distilled into pure entanglement. An example is the positive partial transposition criterion. Here we present, for the first time, the analogous…

量子物理 · 物理学 2010-01-07 Lluis Masanes , Andreas Winter

Complete security proofs for quantum communication protocols can be notoriously involved, which convolutes their verification, and obfuscates the key physical insights the security finally relies on. In such cases, for the majority of the…

量子物理 · 物理学 2019-03-27 A. Pirker , M. Zwerger , V. Dunjko , H. J. Briegel , W. Dür

We prove, in a multipartite setting, that it's always feasible to exactly transform a genuinely $m$-partite entangled state with sufficient many copies to any other $m$-partite state via local quantum operation and classical communication.…

量子物理 · 物理学 2007-05-23 Zhengfeng Ji , Runyao Duan , Mingsheng Ying

A subspace of a multipartite Hilbert space is completely entangled if it contains no product states. Such subspaces can be large with a known maximum size, S, approaching the full dimension of the system, D. We show that almost all…

量子物理 · 物理学 2008-08-14 Jonathan Walgate , A. J. Scott

We consider quantum cryptographic schemes where the carriers of information are 3-state particles. One protocol uses four mutually unbiased bases and appears to provide better security than obtainable with 2-state carriers. Another possible…

量子物理 · 物理学 2009-11-06 Helle Bechmann-Pasquinucci , Asher Peres

Quantum distillation is the task of concentrating quantum correlations present in 'N' imperfect copies using free operations by involving all 'P' parties sharing the quantum correlations. We present a threshold quantum distillation task…

量子物理 · 物理学 2026-02-16 Shashank Gupta , William John Munro , Carlos Cid

In this letter we prove local indistinguishability of four orthogonal activable bound entangled states shared among even number of parties. All reduced density matrices of such states are maximally mixed. We further proceed to establish a…

量子物理 · 物理学 2009-11-13 Indrani Chattopadhyay , Debasis Sarkar

This paper will address the question of the distillation of entanglement from a finite number of multi-partite mixed states. It is shown that if one can distill a pure entangled state from n copies of a mixed state $\sigma _{ABC...}$ there…

量子物理 · 物理学 2009-11-10 Ping Xing Chen , Cheng Zu Li

We analyze a class of entangled states for bipartite $d \otimes d$ systems, with $d$ non-prime. The entanglement of such states is revealed by the construction of canonically associated entanglement witnesses. The structure of the states is…

量子物理 · 物理学 2009-11-13 M. Piani , C. Mora

We map the quantum entanglement problem onto the mathematically well-studied truncated moment problem. This yields a necessary and sufficient condition for separability that can be checked by a hierarchy of semi-definite programs. The…

量子物理 · 物理学 2017-09-20 Fabian Bohnet-Waldraff , Daniel Braun , Olivier Giraud

The ``impossibility proof'' on unconditionally secure quantum bit commitment is examined. It is shown that the possibility of juxtaposing quantum and classical randomness has not been properly taken into account. A specific protocol that…

量子物理 · 物理学 2007-05-23 Horace P. Yuen