Local copying and local discrimination as a study for non-locality of a set

Abstract

We focus on the non-locality concerning local copying and local discrimination, especially for a set of orthogonal maximally entangled states in prime dimensional systems, as a study of non-locality of a set of states. As a result, for such a set, we completely characterize deterministic local copiability and show that local copying is more difficult than local discrimination. From these result, we can conclude that lack algebraic symmetry causes extra non-locality of a set.

This is an extended version of quant-ph/0411143

References in corpus (7)

• Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
• Bound entanglement provides convertibility of pure entangled states
• Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
• Local copying of orthogonal entangled quantum states
• Construction of extremal local positive operator-valued measures under symmetry
• Local Cloning of Arbitrarily Entangled Multipartite States
• Entanglement convertibility for infinite dimensional pure bipartite states

Cited by in corpus (31)

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• Distinguishability of Quantum States by Separable Operations
• Distinguishability of Quantum States by Positive Operator-Valued Measures with Positive Partial Transpose
• A study of LOCC-detection of a maximally entangled state using hypothesis testing
• Three maximally entangled states can require two-way LOCC for local discrimination
• Additivity and non-additivity of multipartite entanglement measures
• Entanglement Cost of Nonlocal Measurements
• Local distinguishability of orthogonal 2\otimes3 pure states
• Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario
• Locally distinguishing quantum states with limited classical communication
• Entanglement transformations using separable operations
• 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
• Local unitary classification for sets of generalized Bell states
• Asymptotic local hypothesis testing between a pure bipartite state and the completely mixed state
• Simple criterion for local distinguishability of generalized Bell states in prime dimension
• Local cloning of entangled states
• Construnctions of LOCC indistinguishable set of generalized Bell states
• Local hypothesis testing between a pure bipartite state and the white noise state
• Entanglement cost and distillable entanglement of symmetric states
• Local Cloning of Entangled Qubits
• Remote extraction and destruction of spread qubit information
• Local cloning of genuine entangled states of three qubit
• Comment on "Local Copying of $d\times d$-dimensional Partially Entangled Pure States"
• Small sets of locally indistinguishable orthogonal maximally entangled states
• When quantum memory is useful for dense coding
• Local cloning of CAT states
• Self-teleportation and its application on LOCC estimation and other tasks
• The roles of quantum correlations in quantum cloning
• Separable Operations, Graph Codes and the Location of Quantum Information