Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - Reviews of Modern Physics, 2024 - APS
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Strong quantum nonlocality without entanglement

S Halder, M Banik, S Agrawal, S Bandyopadhyay - Physical review letters, 2019 - APS
Quantum nonlocality is usually associated with entangled states by their violations of Bell-
type inequalities. However, even unentangled systems, whose parts may have been …

Small sets of genuinely nonlocal Greenberger-Horne-Zeilinger states in multipartite systems

ZX **ong, Y Zhang, MS Li, L Li - Physical Review A, 2024 - APS
A set of orthogonal multipartite quantum states are called (distinguishability-based)
genuinely nonlocal if they are locally indistinguishable across any bipartition of the …

Limitations on separable measurements by convex optimization

S Bandyopadhyay, A Cosentino… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
We prove limitations on LOCC and separable measurements in bipartite state discrimination
problems using techniques from convex optimization. Specific results that we prove include …

Detecting the local indistinguishability of maximally entangled states

S Yu, CH Oh - arxiv preprint arxiv:1502.01274, 2015 - arxiv.org
By incorporating the asymmetry of local protocols, ie, some party has to start with a nontrivial
measurement, into an operational method of detecting the local indistinguishability …

Distinguishability-based genuine nonlocality with genuine multipartite entanglement

ZX **ong, MS Li, ZJ Zheng, L Li - Physical Review A, 2023 - APS
A set of orthogonal multipartite quantum states is said to be distinguishability-based
genuinely nonlocal (also genuinely nonlocal, for abbreviation) if the states are locally …

Optimal resource states for local state discrimination

S Bandyopadhyay, S Halder, M Nathanson - Physical Review A, 2018 - APS
We study the problem of locally distinguishing pure quantum states using shared
entanglement as a resource. For a given set of locally indistinguishable states, we define a …

Entanglement as a resource to distinguish orthogonal product states

ZC Zhang, F Gao, TQ Cao, SJ Qin, QY Wen - Scientific reports, 2016 - nature.com
It is known that there are many sets of orthogonal product states which cannot be
distinguished perfectly by local operations and classical communication (LOCC). However …

Local discrimination of four or more maximally entangled states

G Tian, S Yu, F Gao, Q Wen, CH Oh - Physical Review A, 2015 - APS
In the 4⊗ 4 quantum system, four qubit lattice states are found to be either locally
indistinguishable or distinguishable by using one-way classical communication only …

One-way local distinguishability of generalized Bell states in arbitrary dimension

YL Wang, MS Li, ZX **ong - Physical Review A, 2019 - APS
In this paper, we study the distinguishability of arbitrary dimensional generalized Bell states
under one-way local operations and classical communication (LOCC). We introduce an …