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Quantum state discrimination involves identifying a given state out of a set of possible states. When the states are mutually orthogonal, perfect state discrimination is always possible using a global measurement. In the case of…

量子物理 · 物理学 2023-09-13 Scott M. Cohen

Two types of results are presented for distinguishing pure bipartite quantum states using Local Operations and Classical Communications. We examine sets of states that can be perfectly distinguished, in particular showing that any three…

量子物理 · 物理学 2009-11-10 Michael Nathanson

We consider one copy of a quantum system prepared with equal prior probability in one of two non-orthogonal entangled states of multipartite distributed among separated parties. We demonstrate that these two states can be optimally…

量子物理 · 物理学 2013-05-29 Yi-Xin Chen , Dong Yang

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of $k \leq d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2014-08-22 Alessandro Cosentino , Vincent Russo

Motivated by the recent discovery of a quantum Chernoff theorem for asymptotic state discrimination, we investigate the distinguishability of two bipartite mixed states under the constraint of local operations and classical communication…

量子物理 · 物理学 2011-03-16 William Matthews , Andreas Winter

We study how well answer to the question ``Is the given quantum state equal to a certain maximally entangled state?'' using LOCC, in the context of hypothesis testing. Under several locality and invariance conditions, optimal tests will be…

量子物理 · 物理学 2009-11-11 Masahito Hayashi , Keiji Matsumoto , Yoshiyuki Tsuda

Two pure orthogonal quantum states can be perfectly distinguished by sequential local action of multiple pairs of parties. However, this process typically leads to the complete dissolution of entanglement in the states being discriminated.…

量子物理 · 物理学 2025-06-10 Debarupa Saha , Priya Ghosh , Kornikar Sen , Chirag Srivastava , Ujjwal Sen

In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of nonorthogonal states. Moreover, if we wish to copy…

量子物理 · 物理学 2009-11-10 Fabio Anselmi , Anthony Chefles , Martin B. Plenio

We consider one copy of a quantum system prepared in one of two non-orthogonal pure product states of multipartite distributed among separated parties. We show that there exist protocols which obtain optimal probability in the sense of…

量子物理 · 物理学 2009-11-07 Yi-Xin Chen , Dong Yang

Suppose we want to identify an input state with one of two unknown reference states, where the input state is guaranteed to be equal to one of the reference states. We assume that no classical knowledge of the reference states is given, but…

量子物理 · 物理学 2009-11-13 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

We provide rigorous, efficiently computable and tight bounds on the average error probability of multiple-copy discrimination between qubit mixed states by Local Operations assisted with Classical Communication (LOCC). In contrast to the…

量子物理 · 物理学 2010-09-13 J. Calsamiglia , J. I. de Vicente , R. Munoz-Tapia , E. Bagan

We study the distinguishability of quantum states under local operations with classical communication (LOCC), separable, and positive-partial-transpose (PPT) measurements, focusing on locally diagonal orthogonally invariant (LDOI) states --…

量子物理 · 物理学 2026-04-15 Nathaniel Johnston , Vincent Russo

In this paper we consider the conditions under which a given ensemble of two-qubit states can be optimally distinguished by local operations and classical communication (LOCC). We begin by completing the \emph{perfect} distinguishability…

量子物理 · 物理学 2014-05-14 Eric Chitambar , Runyao Duan , Min-Hsiu Hsieh

We consider the problem of distinguishing between the elements of a bipartite maximally entangled orthonormal basis using local operations and classical communication (LOCC) and a partially entangled state acting as a resource. We derive an…

量子物理 · 物理学 2024-10-10 Somshubhro Bandyopadhyay , Vincent Russo

We consider the transformation of multi-partite states in the single copy setting under positive-partial-transpose-preserving operations (PPT-operations) and obtain both qualitative and quantitative results. Firstly, for some pure state…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka , Martin B. Plenio

One of the many interesting features of quantum nonlocality is that the states of a multipartite quantum system cannot always be distinguished as well by local measurements as they can when all quantum measurements are allowed. In this…

量子物理 · 物理学 2013-11-14 Somshubhro Bandyopadhyay , Michael Nathanson

We consider an infinite class of unambiguous quantum state discrimination problems on multipartite systems, described by Hilbert space $\cal{H}$, of any number of parties. Restricting consideration to measurements that act only on…

量子物理 · 物理学 2015-06-22 Scott M. Cohen

We study the distinguishability of bipartite quantum states by Positive Operator-Valued Measures with positive partial transpose (PPT POVMs). The contributions of this paper include: (1). We give a negative answer to an open problem of [M.…

量子物理 · 物理学 2014-04-02 Nengkun Yu , Runyao Duan , Mingsheng Ying

Suppose that two distant parties Alice and Bob share an entangled state $\rho_{AB}$, and they want to exchange the subsystems of $\rho_{AB}$ by local operations and classical communication (LOCC). In general, this LOCC task (i.e. the LOCC…

量子物理 · 物理学 2015-09-30 Takaya Ikuto , Satoshi Ishizaka

Recently, the nonlocal optimal probabilistic cloning (NLOPC) of two non-orthogonal qubit states has been proposed [Phys. Rev. A 86, 052332 (2012)] by means of an experimental setup based on a pair of twin photons in a maximally entangled…

量子物理 · 物理学 2016-11-02 Nataly Cisternas , Gabriel Araneda , Omar Jiménez , Aldo Delgado
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