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We obtain a necessary and sufficient condition for a finite set of states of a finite dimensional multiparticle quantum system to be amenable to unambiguous discrimination using local operations and classical communication. This condition…

Quantum Physics · Physics 2009-11-10 Anthony Chefles

Suppose several parties jointly possess a pure multipartite state, |\psi>. Using local operations on their respective systems and classical communication (i.e. LOCC) it may be possible for the parties to transform deterministically |\psi>…

Quantum Physics · Physics 2011-07-12 Gilad Gour , Nolan R. Wallach

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…

Quantum Physics · Physics 2021-01-22 Matteo Lugli , Paolo Perinotti , Alessandro Tosini

We conduct the first detailed analysis in quantum information of recently derived operator relations from the study of quantum one-way local operations and classical communications (LOCC). We show how operator structures such as operator…

Quantum Physics · Physics 2017-10-11 David Kribs , Comfort Mintah , Michael Nathanson , Rajesh Pereira

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…

Quantum Physics · Physics 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

In a multipartite systems, local operations are conducted by one party and the results are communicated to the other parties. Such models have been studied under the framework of LOCC and SLOCC. In this paper, we study when can an action of…

Quantum Physics · Physics 2024-11-19 Mithilesh Kumar

A powerful operational paradigm for distributed quantum information processing involves manipulating pre-shared entanglement by local operations and classical communication (LOCC). The LOCC round complexity of a given task describes how…

Quantum Physics · Physics 2023-09-13 Guangkuo Liu , Ian George , Eric Chitambar

We investigate the possibility of distinguishing a set of mutually orthogonal multipartite quantum states by local operations and classical communication (LOCC). We connect this problem with generators of SU(N) and present a new condition…

Quantum Physics · Physics 2009-11-13 Ming-Yong Ye , Wei Jiang , Ping-Xing Chen , Yong-Sheng Zhang , Zheng-Wei Zhou , Guang-Can Guo

We study the distinguishability of multipartite quantum states by separable operations. We first present a necessary and sufficient condition for a finite set of orthogonal quantum states to be distinguishable by separable operations. An…

Quantum Physics · Physics 2009-06-25 Runyao Duan , Yuan Feng , Yu Xin , Mingsheng Ying

We study how multi-partite entanglement evolves under the paradigm of separable operations, which include the local operations and classical communication (LOCC) as a special case. We prove that the average "decay" of entanglement induced…

Quantum Physics · Physics 2012-11-08 Vlad Gheorghiu , Gilad Gour

In this work (multipartite) entanglement, discord and coherence are unified as different aspects of a single underlying resource theory defined through simple and operationally meaningful elemental operations. This is achieved by revisiting…

Quantum Physics · Physics 2018-07-11 Dario Egloff , Juan Mauricio Matera , Thomas Theurer , Martin Bodo Plenio

In this thesis, we investigate two different aspects of entanglement and classical communication in distributed quantum computation (DQC). In the first part, we analyze implementable computation over a given quantum network resource by…

Quantum Physics · Physics 2022-02-15 Seiseki Akibue

Necessary and sufficient conditions for deterministic remote extraction and destruction of qubit information encoded in bipartite states using only local operations and classical communications (LOCC) are presented. The conditions indicate…

Quantum Physics · Physics 2008-06-28 Yoshiko Ogata , Mio Murao

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)…

Quantum Physics · Physics 2026-01-29 Ian George , Mohammad A. Alhejji

We revisit the problem of discriminating orthogonal quantum states within the local quantum operation and classical communication (LOCC) paradigm. Our particular focus is on the asymptotic situation where the parties have infinite resources…

Quantum Physics · Physics 2011-10-17 M. Kleinmann , H. Kampermann , D. Bruß

A necessary and sufficient condition of the possibility of a deterministic local operations and classical communication (LOCC) transformation of three-qubit pure states is given. The condition shows that the three-qubit pure states are a…

Quantum Physics · Physics 2015-05-20 Hiroyasu Tajima

We can only perform a finite rounds of measurements in protocols with local operations and classical communication (LOCC). In this paper, we propose a set of product states, which require infinite rounds of measurements in order to…

Quantum Physics · Physics 2019-02-27 Mao-Sheng Li , Yan-Ling Wang

We analyze the difference in the local distinguishability among the following three restrictions; (i) Local operations and only one-way classical communications (one-way LOCC) are permitted. (ii) Local operations and two-way classical…

Quantum Physics · Physics 2008-01-16 Masaki Owari , Masahito Hayashi

A set of orthogonal quantum states is said to be locally indistinguishable if they cannot be perfectly distinguished by local operations and classical communication (LOCC). Otherwise, the states are locally distinguishable. Interestingly,…

Quantum Physics · Physics 2026-03-03 Atanu Bhunia , Saronath Halder , Ritabrata Sengupta

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…

Quantum Physics · Physics 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying