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Entanglement is a resource under local operations assisted by classical communication (LOCC). Given a set of states $S$, if there is one state in $S$ that can be transformed by LOCC into all other states in $S$, then this state is maximally…

量子物理 · 物理学 2024-07-31 Julio I. de Vicente

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

Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be…

量子物理 · 物理学 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

We show that the four states a|00>+b|11>, b^*|00>-a^*|11>, c|01>+d|10> and d^*|01>-c^*|10> cannot be discriminated with certainty if only local operations and classical communication (LOCC) are allowed and if only a single copy is provided,…

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

We present a complete characterization for the local distinguishability of orthogonal $2\otimes 3$ pure states except for some special cases of three states. Interestingly, we find there is a large class of four or three states that are…

量子物理 · 物理学 2009-11-13 Yu Xin , Runyao Duan

The classification of multipartite entanglement is essential as it serves as a resource for various quantum information processing tasks. This study concerns a particular class of highly entangled multipartite states, the so-called…

量子物理 · 物理学 2024-11-07 N Ramadas , Arul Lakshminarayan

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

Local operations assisted by classical communication (LOCC) constitute the free operations in entanglement theory. Hence, the determination of LOCC transformations is crucial for the understanding of entanglement. We characterize here…

量子物理 · 物理学 2018-08-01 David Sauerwein , Nolan R. Wallach , Gilad Gour , Barbara Kraus

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

We explore the question of using an entangled state as a universal resource for implementing quantum measurements by local operations and classical communication (LOCC). We show that for most systems consisting of three or more subsystems,…

量子物理 · 物理学 2016-09-13 Somshubhro Bandyopadhyay , Saronath Halder , Michael Nathanson

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

Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. We present techniques for verifying either two AME states are…

量子物理 · 物理学 2020-08-26 Adam Burchardt , Zahra Raissi

Recently using entanglement as resource to distinguish orthogonal product states by local operations and classical communication (LOCC) has been studied intensively. Zhang. et al. presented protocols to use entanglement to distinguish…

量子物理 · 物理学 2020-08-10 Hai-Quan Li , Naihuan Jing , Xi-Lin Tang

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

Suppose a set of $m$-partite, $m\geq3$, pure orthogonal fully separable states is given. We consider the task of distinguishing these states perfectly by local operations and classical communication (LOCC) in different $k$-partitions,…

量子物理 · 物理学 2020-01-14 Saronath Halder , Ritabrata Sengupta

In a recent paper, Walgate et. al. demonstrated that any two orthogonal multipartite pure states can be optimally distinguished using only local operations. We utilise their result to show that this is true for any two multiparty pure…

量子物理 · 物理学 2007-05-23 S. Virmani , M. F. Sacchi , M. B. Plenio , D. Markham

We study the problem of locally distinguishing pure quantum states using shared entanglement as a resource. For a given set of locally indistinguishable states, we define a resource state to be useful if it can enhance local…

量子物理 · 物理学 2018-02-21 Somshubhro Bandyopadhyay , Saronath Halder , Michael Nathanson

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

量子物理 · 物理学 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus

The states in the three-qubit GHZ SLOCC class can exhibit diverse entanglement patterns, as they may have no entanglement in any reduced subsystems, or show entanglement across one, two, or all three bipartite cuts. Significant research has…

Locally indistinguishable states are useful to distribute information among spatially separated parties such that the information is locked. This implies that the parties are not able to extract the information completely via local…

量子物理 · 物理学 2025-08-20 Suchetana Goswami , Saronath Halder