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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 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

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

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

We prove that any three linearly independent pure quantum states can always be locally distinguished with nonzero probability regardless of their dimension, entanglement, or multipartite structure. Almost always, all three states can be…

量子物理 · 物理学 2015-06-26 Somshubhro Bandyopadhyay , Jonathan Walgate

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

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 provide a method for checking indistinguishability of a set of multipartite orthogonal states by local operations and classical communication (LOCC). It bases on the principle of nonincreasing of entanglement under LOCC. This method…

量子物理 · 物理学 2013-05-29 Michal Horodecki , Aditi Sen De , Ujjwal Sen , Karol Horodecki

We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability, that arises from the limitation of spatially separated parties to perfectly identify a subset of mutually orthogonal multipartite quantum…

量子物理 · 物理学 2024-05-24 Pratik Ghosal , Arkaprabha Ghosal , Subhendu B. Ghosh , Amit Mukherjee

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

An ensemble of product states is said to exhibit "quantum nonlocality without entanglement" if the states cannot be optimally discriminated by local operations and classical communication (LOCC). We show that this property can depend on the…

量子物理 · 物理学 2025-06-26 Shayeef Murshid , Tathagata Gupta , Vincent Russo , Somshubhro Bandyopadhyay

A set of orthogonal product states is said to exhibit "quantum nonlocality without entanglement" if it is locally indistinguishable, i.e. no sequence of local operations and classical communication (LOCC) can perfectly discriminate the…

量子物理 · 物理学 2026-05-29 Atanu Bhunia , Saronath Halder , Preeti Parashar , Ritabrata Sengupta

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

We prove a tight and close-to-optimal lower bound on the effectiveness of local quantum measurements (without classical communication) at discriminating any two bipartite quantum states. Our result implies, for example, that any two…

量子物理 · 物理学 2022-10-26 Willian H. G. Corrêa , Ludovico Lami , Carlos Palazuelos

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

A set of quantum states is said to be antidistinguishable if, upon being given a randomly chosen state, it is possible to identify a state that the system was definitively not prepared in. In this work, we begin with a study of quantum…

量子物理 · 物理学 2026-05-12 Biswadeep Chatterjee , Tathagata Gupta , Pratik Ghosal , Samrat Sen

Nonlocality exhibited by ensembles of composite quantum states, wherein local operations and classical communication (LOCC) yield suboptimal discrimination probabilities compared to global strategies, is one of the striking nonclassical…

量子物理 · 物理学 2025-12-02 Samrat Sen

Distinguishability is a fundamental and operational task generally connected to information applications. In quantum information theory, from the postulates of quantum mechanics it often has an intrinsic limitation, which then dictates and…

量子物理 · 物理学 2016-01-28 Joonwoo Bae

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 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