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Efficient distributed computing offers a scalable strategy for solving resource-demanding tasks such as parallel computation and circuit optimisation. Crucially, the communication overhead introduced by the allotment process should be…

Local Operations enhancing the entanglement of bipartite quantum states are of great interest in quantum information processing. Subject of this paper are local selective operations acting on single copies of states. Such operations can…

Quantum Physics · Physics 2007-05-23 Juliane Strassner , Christopher Witte

We bring together in one place some of the main results and applications from our recent works in quantum information theory, in which we have brought techniques from operator theory, operator algebras, and graph theory for the first time…

Quantum Physics · Physics 2021-10-18 Comfort Mintah , David W. Kribs , Michael Nathanson , Rajesh Pereira

We investigate definitions of and protocols for multi-party quantum computing in the scenario where the secret data are quantum systems. We work in the quantum information-theoretic model, where no assumptions are made on the computational…

Quantum Physics · Physics 2007-05-23 Adam Smith

We show that every three-dimensional subspace of qutrit-qudit complex or real systems has a distinguishable basis under one-way local operations and classical communication (LOCC). In particular this solves an open problem proposed in [J.…

Quantum Physics · Physics 2025-10-28 Zhiwei Song , Lin Chen , Dragomir Z. Djokovic

We investigate a graph-theoretic approach to the problem of distinguishing quantum product states in the fundamental quantum communication framework called local operations and classical communication (LOCC). We identify chordality as the…

Quantum Physics · Physics 2023-05-18 Comfort Mintah , David W. Kribs , Michael Nathanson , Rajesh Pereira

We consider multipartite quantum state discrimination and show that the minimum-error discrimination by separable measurements is closely related to the concept of entanglement witness. Based on the properties of entanglement witness, we…

Quantum Physics · Physics 2023-04-25 Donghoon Ha , Jeong San Kim

Quantum coherence, which quantifies the superposition properties of a quantum state, plays an indispensable role in quantum resource theory. A recent theoretical work [Phys. Rev. Lett. \textbf{116}, 070402 (2016)] studied the manipulation…

Quantum Physics · Physics 2017-10-02 Kang-Da Wu , Zhibo Hou , Han-Sen Zhong , Yuan Yuan , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We derive an optimal bound for arbitrary entanglement manipulation based on the transmission of a pulse in coherent states over a lossy channel followed by local operations and unlimited classical communication (LOCC). This stands on a…

Quantum Physics · Physics 2015-05-30 Koji Azuma , Go Kato

We examine the problem of using local operations and classical communication (LOCC) to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate…

Quantum Physics · Physics 2010-04-13 Michael Nathanson

We introduce the problem of unsupervised classification of quantum data, namely, of systems whose quantum states are unknown. We derive the optimal single-shot protocol for the binary case, where the states in a disordered input array are…

Quantum Physics · Physics 2019-11-11 Gael Sentís , Alex Monràs , Ramon Muñoz-Tapia , John Calsamiglia , Emilio Bagan

A fundamental problem in quantum information processing is the discrimination among a set of orthogonal quantum states of a composite system under local operations and classical communication (LOCC). Corresponding to the LOCC…

Quantum Physics · Physics 2025-04-17 Cai-Hong Wang , Jiang-Tao Yuan , Ying-Hui Yang , Mao-Sheng Li , Shao-Ming Fei , Zhi-Hao Ma

We study the distinguishability norms associated to families of locally restricted POVMs on multipartite systems. These norms (introduced by Matthews, Wehner and Winter) quantify how quantum measurements, subject to locality constraints,…

Quantum Physics · Physics 2020-08-27 Guillaume Aubrun , Cécilia Lancien

A stochastic process's statistical complexity stands out as a fundamental property: the minimum information required to synchronize one process generator to another. How much information is required, though, when synchronizing over a…

Quantum Physics · Physics 2015-08-13 J. R. Mahoney , C. Aghamohammadi , J. P. Crutchfield

In this article we investigate the possibility of encoding classical information onto multipartite quantum states in the distant laboratory framework. We show that for all states generated by Clifford operation there always exist such an…

Quantum Physics · Physics 2017-08-23 Yu Tanaka , Damian Markham , Mio Murao

We present a procedure to share a secret spatial direction in the absence of a common reference frame using a multipartite quantum state. The procedure guarantees that the parties can determine the direction if they perform joint…

Quantum Physics · Physics 2007-08-02 E. Bagan , J. Calsamiglia , R. Demkowicz-Dobrzanski , R. Munoz-Tapia

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…

Quantum Physics · Physics 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal…

Quantum Physics · Physics 2016-03-08 Yan-Ling Wang , Mao-Sheng Li , Zhu-Jun Zheng , Shao-Ming Fei

The variety of multi-partite entangled states enables numerous applications in novel quantum information tasks. In order to compare the suitability of different states from a theoretical point of view classifications have been introduced.…

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…

Quantum Physics · Physics 2025-10-10 Patryk Lipka-Bartosik , Jessica Bavaresco , Nicolas Brunner , Pavel Sekatski
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