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Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus

We propose practical and efficient protocols for verifying bipartite pure states for any finite dimension, which can also be applied to fidelity estimation. Our protocols are based on adaptive local projective measurements with either…

Quantum Physics · Physics 2019-09-18 Zihao Li , Yun-Guang Han , Huangjun Zhu

We consider one copy of a quantum system prepared in one of two non-orthogonal pure product states of multipartite distributed among separated parties. We show that there exist protocols which obtain optimal probability in the sense of…

Quantum Physics · Physics 2009-11-07 Yi-Xin Chen , Dong Yang

Entanglement is known to boost the efficiency of classical communication. In distributed computation, for instance, exploiting entanglement can reduce the number of communicated bits or increase the probability to obtain a correct answer.…

Quantum Physics · Physics 2022-09-15 Jef Pauwels , Stefano Pironio , Emmanuel Zambrini Cruzeiro , Armin Tavakoli

Establishing a fully functional quantum internet relies on the efficient allocation of multipartite entangled states, which enables advanced quantum communication protocols, secure multipartite quantum key distribution, and distributed…

Quantum Physics · Physics 2024-09-26 Yu-Ao Chen , Xia Liu , Chenghong Zhu , Lei Zhang , Junyu Liu , Xin Wang

We propose a protocol for local implementation of two consecutive nonlocal operations by three parters. It consumes one shared GHZ state in this protocol. We also demonstrate that these resources are sufficient and necessary to locally…

Quantum Physics · Physics 2008-04-07 Ning Bo Zhao , An Min Wang

Recent advances have led towards first prototypes of quantum networks in which entanglement is distributed by sources producing bipartite entangled states. This raises the question of which states can be generated in quantum networks based…

Quantum Physics · Physics 2024-03-14 Cornelia Spee , Tristan Kraft

We describe a general approach to proving the impossibility of implementing a quantum channel by local operations and classical communication (LOCC), even with an infinite number of rounds, and find that this can often be demonstrated by…

Quantum Physics · Physics 2017-01-19 Scott M. Cohen

We study when a physical operation can produce entanglement between two systems initially disentangled. The formalism we develop allows to show that one can perform certain non-local operations with unit probability by performing local…

Quantum Physics · Physics 2009-11-06 J. I. Cirac , W. Dür , B. Kraus , M. Lewenstein

Due to the importance of entanglement for quantum information purposes, a framework has been developed for its characterization and quantification as a resource based on the following operational principle: entanglement among $N$ parties…

Quantum Physics · Physics 2013-05-30 Rodrigo Gallego , Lars E. Würflinger , Antonio Acín , Miguel Navascués

We propose a multi party quantum clock synchronization protocol that makes optimal use of the maximal multipartite entanglement of GHZ-type states. To realize the protocol, different versions of maximally entangled eigenstates of collective…

Quantum Physics · Physics 2015-06-04 Changliang Ren , Holger F. Hofmann

Measurements that can be implemented via local operations and classical communication (LOCC) constitute a class of operations that is available in future quantum networks in which parties share entangled resource states. We characterise the…

Quantum Physics · Physics 2026-03-31 Arthur C. R. Dutra , Ties-A. Ohst , Hai-Chau Nguyen , Otfried Gühne

In this paper, we demonstrate n-party controlled unitary gate implementations locally on arbitrary remote state through linear entangled channel where control parties share entanglement with the adjacent control parties and only one of them…

Quantum Physics · Physics 2016-11-27 Debashis Saha , Sanket Nandan , Prasanta K. Panigrahi

Entanglement purification protocols are fundamental primitives in quantum communication, enabling the distillation of high-quality entanglement using only local operations and classical communication. For large multipartite states, however,…

Quantum Physics · Physics 2026-04-06 Katerina Stloukalova , Jorge Miguel-Ramiro , Wolfgang Dür , Julius Wallnöfer

The majority of the literature on consensus assumes that protocols are jointly started at all nodes of the distributed system. We show how to remove this problematic assumption in semi-synchronous systems, where messages delays and relative…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-01 Danny Dolev , Christoph Lenzen

We develop a generalized framework for constructing many-body-interaction operations either in linear time, or in logarithmic time with a linear number of ancilla qubits. Exact gate decompositions are given in particular for Pauli strings,…

Quantum Physics · Physics 2017-10-25 Felix Motzoi , Michael Kaicher , Frank Wilhelm

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

We expose the information flow capabilities of pure bipartite entanglement as a theorem -- which embodies the exact statement on the `seemingly acausal flow of information' in protocols such as teleportation. We use this theorem to…

Quantum Physics · Physics 2007-05-23 Bob Coecke

We provide rigorous, efficiently computable and tight bounds on the average error probability of multiple-copy discrimination between qubit mixed states by Local Operations assisted with Classical Communication (LOCC). In contrast to the…

Quantum Physics · Physics 2010-09-13 J. Calsamiglia , J. I. de Vicente , R. Munoz-Tapia , E. Bagan

Given a protocol ${\cal P}$ that implements multipartite quantum channel ${\cal E}$ by repeated rounds of local operations and classical communication (LOCC), we construct an alternate LOCC protocol for ${\cal E}$ in no more rounds than…

Quantum Physics · Physics 2019-10-30 Scott M. Cohen
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