Nonlocal variables with product states eigenstates

Abstract

An alternative proof for existence of ``quantum nonlocality without entanglement'', i.e. existence of variables with product-state eigenstates which cannot be measured locally, is presented. A simple``nonlocal'' variable for the case of one-way communication is given and the limit for its approximate measurability is found.

10 pages

Cited by in corpus (54)

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• Nonlocality, Asymmetry, and Distinguishing Bipartite States
• Strong Quantum Nonlocality without Entanglement
• Simplified instantaneous non-local quantum computation with applications to position-based cryptography
• A framework for bounding nonlocality of state discrimination
• Understanding entanglement as resource: locally distinguishing unextendible product bases
• Local distinguishability with preservation of entanglement
• Several nonlocal sets of multipartite pure orthogonal product states
• Local indistinguishability of orthogonal product states
• Genuinely Nonlocal Product Bases: Classification and Entanglement Assisted Discrimination
• Strong Quantum Nonlocality without Entanglement in Multipartite Quantum Systems
• Entanglement Cost of Nonlocal Measurements
• Family of bound entangled states on the boundary of Peres set
• Local distinguishability of orthogonal 2\otimes3 pure states
• Measurements of semi-local and non-maximally entangled states
• Difficulty of distinguishing product states locally
• Nonlocality Without Entanglement: Quantum Theory and Beyond
• Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)
• Distinguishability classes, resource sharing, and bound entanglement distribution
• Locally distinguish unextendible product bases by efficiently using entanglement resource
• Entanglement consumption of instantaneous nonlocal quantum measurements
• Resource Quantification for the No-Programming Theorem
• Locally distinguishing quantum states with limited classical communication
• Genuine activation of nonlocality: From locally available to locally hidden information
• Unextendible product bases, bound entangled states, and the range criterion
• Genuine hidden nonlocality without entanglement: from the perspective of local discrimination
• Tight asymptotic bounds on local hypothesis testing between a pure bipartite state and the white noise state
• Dense Coding with Locality Restriction for Decoder: Quantum Encoders vs. Super-Quantum Encoders
• Nonlocality without entanglement: Party asymmetric case
• Asymptotic local hypothesis testing between a pure bipartite state and the completely mixed state
• Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
• Optimal amount of entanglement to distinguish quantum states instantaneously
• Backward Evolving Quantum States
• Notes on nonlocal projective measurements in relativistic systems
• Separability and entanglement in superpositions of quantum states
• Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis
• Unextendible entangled bases and more nonlocality with less entanglement
• Entangled state distillation from single copy mixed states beyond LOCC
• Classification of joint quantum measurements based on entanglement cost of localization
• Almost every set of $N\ge d+1$ orthogonal states on $d^{\otimes n}$ is locally indistinguishable
• Locally unidentifiable subset of quantum states and its resourcefulness in secret password distribution
• More assistance of entanglement, less rounds of classical communication
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• Generalized bipartite quantum state discrimination problems with sequential measurements
• Exploring strong locality : Quantum state discrimination regime and beyond
• Devising local protocols for multipartite quantum measurements
• Multi-system measurements in generalized probabilistic theories and their role in information processing
• Multi-partite subspaces containing no locally inaccessible information
• Classifying locally distinguishable sets: No activation across bipartitions
• Interpolatability distinguishes LOCC from separable von Neumann measurements
• Teleportation of Post-Selected Quantum States
• Coherence measure of ensembles with nonlocality without entanglement
• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
• Localization of joint quantum measurements on ${\mathbb{C}}^d\otimes {\mathbb{C}}^d$ by entangled resources with Schmidt number at most $d$