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A set of quantum states can be unambiguously discriminated if and only if they are linearly independent. However, for a linearly dependent set, if C copies of the state are available, then the resulting C particle states may form a linearly…

量子物理 · 物理学 2009-11-07 Anthony Chefles

It is well known that the classification of pure multiparticle entangled states according to stochastic local operations leads to a natural classification of mixed states in terms of convex sets. We present a simple algorithmic procedure to…

量子物理 · 物理学 2012-09-11 Hermann Kampermann , Otfried Gühne , Colin Wilmott , Dagmar Bruß

Necessary and sufficient conditions for bipartite entanglement are derived, which apply to arbitrary Hilbert spaces. Motivated by the concept of witnesses, optimized entanglement inequalities are formulated solely in terms of arbitrary…

量子物理 · 物理学 2009-11-13 J. Sperling , W. Vogel

We consider the optimal discrimination of bipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition for a measurement to…

量子物理 · 物理学 2022-03-16 Donghoon Ha , Jeong San Kim

We provide a simple proof for the necessity of conditions for discriminating with minimum error between a known set of quantum states.

量子物理 · 物理学 2009-11-13 Stephen M. Barnett , Sarah Croke

We introduce a new aspect of nonlocality which arises when the task of quantum states distinguishability is considered under local operations and shared entanglement in the absence of classical communication. We find the optimal amount of…

量子物理 · 物理学 2016-03-24 Berry Groisman , Sergii Strelchuk

More than two multipartite orthogonal states cannot always be discriminated (with certainty) if only local operations and classical communication (LOCC) are allowed. Using an existing inequality among the measures of entanglement, we show…

量子物理 · 物理学 2009-11-07 Sibasish Ghosh , Guruprasad Kar , Anirban Roy , Aditi Sen De , Ujjwal Sen

We consider a general version of the phenomenon of more nonlocality with less entanglement, within the framework of the unambiguous (i.e., conclusive) quantum state discrimination problem under local quantum operations and classical…

量子物理 · 物理学 2022-03-25 Saronath Halder , Ujjwal Sen

In this paper, the following scenario is considered: there are two qubits possessed by two parties at different locations. Qubits have been prepared in one of a maximum of four, mutually-orthogonal, entangled states and the parties wish to…

量子物理 · 物理学 2016-09-29 Özenç Güngör , Sadi Turgut

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

Entangled states can help in quantum state discrimination by local operations and classical communication (LOCC). For example, a Bell state is necessary (and sufficient) to perfectly discriminate a set of either three or four Bell states by…

量子物理 · 物理学 2021-10-04 Somshubhro Bandyopadhyay , Vincent Russo

In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state…

量子物理 · 物理学 2014-12-02 Eric Chitambar , Min-Hsiu Hsieh

The necessary and sufficient conditions for the equivalence of arbitrary n-qubit pure quantum states under Local Unitary (LU) operations derived in [B. Kraus Phys. Rev. Lett. 104, 020504 (2010)] are used to determine the different…

量子物理 · 物理学 2013-05-29 B. Kraus

We consider one copy of a quantum system prepared in one of two orthogonal pure states, entangled or otherwise, and distributed between any number of parties. We demonstrate that it is possible to identify which of these two states the…

量子物理 · 物理学 2009-11-06 Jonathan Walgate , Anthony J. Short , Lucien Hardy , Vlatko Vedral

Now, the known ensembles of orthogonal states which are distinguishable by local operators and classical communication (LOCC) satisfy the condition that the sum of Schmidit numbers of the orthogonal states is not bigger than the dimensions…

量子物理 · 物理学 2007-05-23 Ping-Xing Chen , Wei Jiang , Zheng-Wei Zhou , Guang-Can Guo

We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this…

量子物理 · 物理学 2013-05-29 C. Kruszynska , B. Kraus

We consider the discrimination of bipartite quantum states and establish a relation between nonlocal quantum state ensemble and quantum data hiding processing. Using a bound on optimal local discrimination of bipartite quantum states, we…

量子物理 · 物理学 2024-05-14 Donghoon Ha , Jeong San Kim

We give a necessary condition that a separable measurement can be implemented by local quantum operations and classical communication (LOCC) in any finite number of rounds of communication, generalizing and strengthening a result obtained…

量子物理 · 物理学 2015-07-01 Scott M. Cohen

For two bipartite pure states, we consider the problem of unambiguous identification without classical knowledge on the states. The optimal success probability by means of local operations and classical communication is shown to be less…

量子物理 · 物理学 2008-01-03 A. Hayashi , Y. Ishida , T. Hashimoto , M. Horibe

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

量子物理 · 物理学 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus