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A set of orthogonal product states is said to exhibit "quantum nonlocality without entanglement" if it is locally indistinguishable, i.e. no sequence of local operations and classical communication (LOCC) can perfectly discriminate the…

量子物理 · 物理学 2026-05-29 Atanu Bhunia , Saronath Halder , Preeti Parashar , Ritabrata Sengupta

Entanglement is an useful resource because some global operations cannot be locally implemented using classical communication. We prove a number of results about what is and is not locally possible. We focus on orthogonal states, which can…

量子物理 · 物理学 2009-11-07 Jonathan Walgate , Lucien Hardy

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…

量子物理 · 物理学 2019-10-30 Scott M. Cohen

We provide a method of designing protocols for implementing multipartite quantum measurements when the parties are restricted to local operations and classical communication (LOCC). For each finite integer number of rounds, $r$, the method…

量子物理 · 物理学 2016-05-12 Scott M. Cohen

Quantum communication relies on the existence of high quality quantum channels to exchange information. In practice, however, all communication links are affected by noise from the environment. Here we investigate the ability of quantum…

量子物理 · 物理学 2025-08-12 Vishal Singh , Mark M. Wilde

We analyze the distinguishability norm on the states of a multi-partite system, defined by local measurements. Concretely, we show that the norm associated to a tensor product of sufficiently symmetric measurements is essentially equivalent…

量子物理 · 物理学 2013-09-17 Cécilia Lancien , Andreas Winter

An orthonormal basis consisting of unentangled (pure tensor) elements in a tensor product of Hilbert spaces is an Unentangled Orthogonal Basis (UOB). In general, for $n$ qubits, we prove that in its natural structure as a real variety, the…

量子物理 · 物理学 2016-08-08 Jiri Lebl , Asif Shakeel , Nolan Wallach

We investigate the quantum nonlocality via the discrimination on two, three and four-qubit orthogonal product bases (OPBs). We show that every two-qubit, and some three and four-qubit OPBs can be locally distinguished. It turns out that the…

量子物理 · 物理学 2023-10-02 Lin Chen , Yutong Jiang

We study the constructions of nonlocal orthogonal product states in multipartite systems that cannot be distinguished by local operations and classical communication. We first present two constructions of nonlocal orthogonal product states…

量子物理 · 物理学 2021-11-19 Hui-Juan Zuo , Jia-Huan Liu , Xiao-Fan Zhen , Shao-Ming Fei

We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability, that arises from the limitation of spatially separated parties to perfectly identify a subset of mutually orthogonal multipartite quantum…

量子物理 · 物理学 2024-05-24 Pratik Ghosal , Arkaprabha Ghosal , Subhendu B. Ghosh , Amit Mukherjee

We consider the transmission of classical information through a degraded broadcast channel, whose outputs are two quantum systems, with the state of one being a degraded version of the other. Yard et al. proved that the capacity region of…

量子物理 · 物理学 2019-05-03 Hao-Chung Cheng , Nilanjana Datta , Cambyse Rouzé

We consider an infinite class of unambiguous quantum state discrimination problems on multipartite systems, described by Hilbert space $\cal{H}$, of any number of parties. Restricting consideration to measurements that act only on…

量子物理 · 物理学 2015-06-22 Scott M. Cohen

The set of doubly-stochastic quantum channels and its subset of mixtures of unitaries are investigated. We provide a detailed analysis of their structure together with computable criteria for the separation of the two sets. When applied to…

量子物理 · 物理学 2014-07-30 Christian B. Mendl , Michael M. Wolf

We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however…

量子物理 · 物理学 2017-11-06 Thomas Cope , Leon Hetzel , Leonardo Banchi , Stefano Pirandola

In this paper, we construct $2n-1$ locally indistinguishable orthogonal product states in $\mathbb{C}^n\otimes\mathbb{C}^{4}~(n>4)$ and $\mathbb{C}^n\otimes\mathbb{C}^{5}~(n\geq 5)$ respectively. Moreover, a set of locally indistinguishable…

量子物理 · 物理学 2019-08-12 Haiquan Li , Xilin Tang , Naihuan Jing , Ze Gu

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

量子物理 · 物理学 2011-11-04 Yaoyun Shi , Yufan Zhu

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

An orthogonal product basis of a composite Hilbert space is genuinely nonlocal if the basis states are locally indistinguishable across every bipartition. From an operational point of view such a basis corresponds to a separable measurement…

量子物理 · 物理学 2019-09-25 Sumit Rout , Ananda G. Maity , Amit Mukherjee , Saronath Halder , Manik Banik

Recent research indicates that packet transmission employing random linear network coding can be regarded as transmitting subspaces over a linear operator channel (LOC). In this paper we propose the framework of linear operator broadcast…

信息论 · 计算机科学 2011-05-17 Yimin Pang , Thomas Honold

Bidirectional teleportation is a fundamental protocol for exchanging quantum information between two parties by means of a shared resource state and local operations and classical communication (LOCC). Here we develop two seemingly…

量子物理 · 物理学 2025-02-06 Aliza U. Siddiqui , Mark M. Wilde