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In a recent work [Phys. Rev. Lett. 120, 170502 (2018)], Pallister et al. proposed an optimal strategy to verify non-maximally entangled two-qubit pure states under the constraint that the accessible measurements being locally projective and…

量子物理 · 物理学 2019-09-18 Kun Wang , Masahito Hayashi

We study single-shot distinguishability of locally implementable multipartite unitaries under Local Operations and Classical Communication (LOCC) and global operations. As unitary discrimination depends on both the choice of probing states…

量子物理 · 物理学 2025-09-15 Satyaki Manna , Sneha Suresh , Anandamay Das Bhowmik , Debashis Saha

We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly…

量子物理 · 物理学 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying

The paper studies unambiguous discrimination of Fermionic states through local operations and classical communication (LOCC). In the task of unambiguous discrimination, no error is tolerated but an inconclusive result is allowed. We show…

量子物理 · 物理学 2021-01-22 Matteo Lugli , Paolo Perinotti , Alessandro Tosini

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

In this paper, we treat a local discrimination problem in the framework of asymmetric hypothesis testing. We choose a known bipartite pure state $\ket{\Psi}$ as an alternative hypothesis, and the completely mixed state as a null hypothesis.…

量子物理 · 物理学 2020-10-06 Masaki Owari , Masahito Hayashi

For manipulations of multipartite quantum systems, it was well known that all local operations assisted by classical communication (LOCC) constitute a proper subset of the class of separable operations. Recently, Gheorghiu and Griffiths…

量子物理 · 物理学 2009-10-23 Eric Chitambar , Runyao Duan

We provide a first operational method for checking indistinguishability of orthogonal states by local operations and classical communication (LOCC). This method originates from the one introduced by Ghosh et al. (Phys. Rev. Lett. 87, 5807…

量子物理 · 物理学 2009-10-20 Michal Horodecki , Aditi Sen De , Ujjwal Sen , Karol Horodecki

We consider deeply the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multi-partite states). It is shown that if a set of arbitrary states can be distinguished by local operations and…

量子物理 · 物理学 2009-11-07 Ping Xing Chen , Cheng Zu Li

We show that there exist sets of three mutually orthogonal $d$-dimensional maximally entangled states which cannot be perfectly distinguished using one-way local operations and classical communication (LOCC) for arbitrarily large values of…

量子物理 · 物理学 2014-01-07 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

Suppose we want to distinguish two quantum pure states. We consider the case in which no classical knowledge on the two states is given and only a pair of samples of the two states is available. This problem is called quantum pure-state…

量子物理 · 物理学 2008-01-07 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

In a seminal work [PRL85.4972], Walgate, Short, Hardy, and Vedral prove in finite dimensions that for every pair of pure multipartite orthogonal quantum states, there exists a one-way local operations and classical communication (LOCC)…

量子物理 · 物理学 2026-01-29 Ian George , Mohammad A. Alhejji

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

量子物理 · 物理学 2007-05-23 Akimasa Miyake

We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for the existence of such a transformation are obtained using…

量子物理 · 物理学 2022-06-27 Somshubhro Bandyopadhyay , Saronath Halder , Ritabrata Sengupta

I consider deterministic distinguishability of a set of orthogonal, bipartite states when only a single copy is available and the parties are restricted to local operations and classical communication, but with the additional requirement…

量子物理 · 物理学 2009-11-13 Scott M. Cohen

In the first part of this Dissertation, I study the differences between LOCC (local operations and classical communication) and the more general class of separable operations. I show that the two classes coincide for the case of pure…

量子物理 · 物理学 2010-06-28 Vlad Gheorghiu

A subspace of a multipartite Hilbert space is called \textit{locally indistinguishable} if any orthogonal basis of this subspace cannot be perfectly distinguished by local operations and classical communication. Previously it was shown that…

量子物理 · 物理学 2013-09-24 Nengkun Yu , Runyao Duan , Mingsheng Ying

We present an improved protocol for entanglement purification of bipartite mixed states. The protocol requires two-way classical communication and hence implies an improved lower bound on the quantum capacity with two-way classical…

量子物理 · 物理学 2007-05-23 Alan W. Leung , Peter W. Shor

This paper constructs a LOCC protocol that achieves the global optimality in conclusive discrimination of any two states with arbitrary a priori probability. This can be interpreted that there is no ``non-locality'' in the conclusive…

量子物理 · 物理学 2007-05-23 Zhengfeng Ji , Hongen Cao , Mingsheng Ying