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Entanglement Theory Quantum Correlations

Multipartite Mixed Maximally Entangled States: Mixed States with Entanglement 1

arXiv
Authors: Samuel R. Hedemann

Year

2021

Paper ID

61313

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite Schmidt decomposition. MME states are a special kind of maximally entangled mixed state (MEMS) for which every pure decomposition state in all decompositions is maximally entangled. Thus, MME states have entanglement 1 by all valid unit-normalized entanglement measures, whereas general MEMS can have entanglement less than 1. Multipartite MME states likely have important applications such as remote state preparation, and also set critical performance goals for entanglement measures.

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  • We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2109.11548 [2] arXiv https://arxiv.org/abs/2109.11548 [3] Publisher https://arxiv.org/abs/2109.11548

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