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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 examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

量子物理 · 物理学 2009-11-11 Alastair Kay , Marie Ericsson

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

We study the power of measurements implementable with local quantum operations and classical communication (or LOCC measurements for short) in the setting of quantum channel discrimination. More precisely, we consider discrimination…

量子物理 · 物理学 2011-03-16 William Matthews , Marco Piani , John Watrous

Multipartite pure states are equivalent under Stochastic Local Operations and Classical Communication (SLOCC) whenever they can be mapped into one another by Invertible Local Operations. It is shown that this is equivalent to the…

量子物理 · 物理学 2019-08-19 F. E. S. Steinhoff

In this paper we present a necessary and sufficient condition of distinguishability of bipartite quantum states. It is shown that the operators to reliably distinguish states need only rounds of projective measurements and classical…

量子物理 · 物理学 2016-09-08 Ping-Xing Chen , Cheng-Zu Li

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…

量子物理 · 物理学 2009-06-25 Runyao Duan , Yuan Feng , Yu Xin , Mingsheng Ying

A key result in entanglement theory is that the addition of a catalyst dramatically enlarges the set of possible state transformations via local operations and classical communication (LOCC). However, it remains unclear what is the…

量子物理 · 物理学 2025-10-10 Patryk Lipka-Bartosik , Jessica Bavaresco , Nicolas Brunner , Pavel Sekatski

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 local broadcast problem assumes that processes in a wireless network are provided messages, one by one, that must be delivered to their neighbors. In this paper, we prove tight bounds for this problem in two well-studied wireless…

数据结构与算法 · 计算机科学 2012-10-04 Mohsen Ghaffari , Bernhard Haeupler , Nancy Lynch , Calvin Newport

We provide a necessary condition that a quantum measurement can be implemented by the class of protocols known as Local Operations and Classical Communication, or LOCC, including when an error is allowed but must vanish in the limit of an…

量子物理 · 物理学 2022-02-17 Scott M. Cohen

We show how an interaction with the environment can enhance fidelity of quantum teleportation. To this end, we present examples of states which cannot be made useful for teleportation by any local unitary transformations; nevertheless,…

量子物理 · 物理学 2016-09-08 Piotr Badziag , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

We present a general theoretical framework for both deterministic and probabilistic entanglement transformations of bipartite pure states achieved via local operations and classical communication. This framework unifies and greatly…

量子物理 · 物理学 2009-11-07 G. M. D'Ariano , M. F. Sacchi

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

We investigate unambiguous discrimination between given quantum states with a sequential measurement, which is restricted to local measurements and one-way classical communication. If the given states are binary or those each of whose…

量子物理 · 物理学 2019-02-18 Kenji Nakahira , Kentaro Kato , Tsuyoshi Sasaki Usuda

We study the task of quantum state exclusion, focusing on antidistinguishability and its generalization to $x$-antidistinguishability, under global measurements and local operations with classical communication (LOCC). We also introduce…

量子物理 · 物理学 2026-02-18 Satyaki Manna , Anandamay Das Bhowmik

We investigate how local distinguishability can restrict global properties of bi-partite states. We begin exploring how non-locality becomes limited by optimal local state discrimination and observe a non-trivial trade-off between the…

量子物理 · 物理学 2025-08-22 Carles Roch I Carceller , Alexander Bernal

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

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

We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen's Theorem, stating that the LOCC…

量子物理 · 物理学 2026-03-05 Lauritz van Luijk , Alexander Stottmeister , Reinhard F. Werner , Henrik Wilming