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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 consider bipartite mixed states in a $d\otimes d$ quantum system. We say that $\rho$ is PPT if its partial transpose $1 \otimes T (\rho)$ is positive semidefinite, and otherwise $\rho$ is NPT. The well-known Werner states are divided…

量子物理 · 物理学 2017-08-21 Dragomir Z. Djokovic

The complete reducibility property for bipartite states reduced the separability problem to a proper subset of positive under partial transpose states and was used to prove several theorems inside and outside entanglement theory. So far…

量子物理 · 物理学 2025-09-10 Daniel Cariello

We introduce a formalism that connections entanglement witnesses and the distillation and activation properties of a state. We apply this formalism to two cases: First, we rederive the results presented in quant-ph/0104095 by Eggeling et…

量子物理 · 物理学 2009-11-07 B. Kraus , M. Lewenstein , J. I. Cirac

Realizing secure communication between distant parties is one of quantum technology's main goals. Although quantum key distribution promises information-theoretic security for sharing a secret key, the key rate heavily depends on the level…

量子物理 · 物理学 2025-11-05 Shin Sun , Kenneth Goodenough , Daniel Bhatti , David Elkouss

The notion of distillable entanglement is one of the fundamental concepts of quantum information theory. Unfortunately, there is an apparent mismatch between the intuitive and rigorous definitions of distillable entanglement. To be precise,…

量子物理 · 物理学 2009-10-31 Eric M. Rains

A set of quantum states is said to be absolutely entangled, when at least one state in the set remains entangled for any definition of subsystems, i.e. for any choice of the global reference frame. In this work we investigate the properties…

量子物理 · 物理学 2021-10-05 Baichu Yu , Pooja Jayachandran , Adam Burchardt , Yu Cai , Nicolas Brunner , Valerio Scarani

Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum…

量子物理 · 物理学 2008-11-26 Anthony Chefles , Stephen M. Barnett

The pure entangled state is of vital importance in the field of quantum information. The process of asymptotically extracting pure entangled states from many copies of mixed states via local operations and classical communication is called…

量子物理 · 物理学 2019-08-09 Lilong Qian , Lin Chen , Delin Chu , Yi Shen

Non-local correlations are not only a fascinating feature of quantum theory, but an interesting resource for information processing, for instance in communication-complexity theory or cryptography. An important question in this context is…

量子物理 · 物理学 2008-10-17 Dejan D. Dukaric , Stefan Wolf

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

Based on the fact that the entanglement can not be created locally, we proposed a quantum bit commitment protocol, in which entangled states and quantum algorithms is used. The bit is not encoded with the form of the quantum states, and…

量子物理 · 物理学 2007-05-23 Guang-Ping He

We introduce an entanglement distillation (purification) protocol for supersinglet states composed of N qubits. The supersinglet state we target is a total spin zero state with zero spin variance, and has a fully entangled structure…

量子物理 · 物理学 2025-09-26 Saeed Ahmad , Shuang Li , Jonathan Raghoonanan , Kaixuan Zhou , Valentin Ivannikov , Tim Byrnes

A concern has been expressed that ``the Jaynes principle can produce fake entanglement'' [R. Horodecki et al., Phys. Rev. A {\bf 59}, 1799 (1999)]. In this paper we discuss the general problem of distilling maximally entangled states from…

量子物理 · 物理学 2009-11-06 Todd A. Brun , Carlton M. Caves , Ruediger Schack

Repeated measurements on a part of a bipartite system strongly affect the other part not measured, whose dynamics is regulated by an effective contracted evolution operator. When the spectrum of this operator is discrete, the latter system…

量子物理 · 物理学 2011-03-09 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

We experimentally demonstrate optimal entanglement distillation from two forms of two-qubit mixed states under local filtering operations according to the constructive method intruduced by F. Verstraete et al. [Phys. Rev. A 64, 010101(R)…

量子物理 · 物理学 2007-05-23 Zhi-Wei Wang , Xiang-Fa Zhou , Yun-Feng Huang , Yong-Sheng Zhang , Xi-Feng Ren , Guang-Can Guo

From the NP-hardness of the quantum separability problem and the relation between bipartite entanglement and the secret key correlations, it is shown that the problem deciding whether a given quantum state has secret correlations in it or…

量子物理 · 物理学 2015-10-30 Jae-Weon Lee , DoYong Kwon , Jaewan Kim

By combining multiple copies of noisy coherent states of light (or other bosonic systems), it is possible to obtain a single mode in a state with lesser noise, a process known as distillation or purification of coherent states. We…

量子物理 · 物理学 2025-05-28 Shiv Akshar Yadavalli , Iman Marvian

By incorporating the asymmetry of local protocols, i.e., some party has to start with a nontrivial measurement, into an operational method of detecting the local indistinguishability proposed by Horodecki {\it et al.} [Phys.Rev.Lett. 90…

量子物理 · 物理学 2015-02-05 Sixia Yu , C. H. Oh

The continuous variable quantum key distribution has been considered to have the potential to provide high secret key rate. However, in present experimental demonstrations, the secret key can be distilled only under very small loss rates.…

量子物理 · 物理学 2008-06-03 Yi-Bo Zhao , You-Zhen Gui , Jin-Jian Chen , Zheng-Fu Han , Guang-Can Guo