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Entanglement Theory Quantum Correlations

Detecting entanglement of random states with an entanglement witness

arXiv
Authors: Marko Znidaric, Tomaz Prosen, Giuliano Benenti, Giulio Casati

Year

2007

Paper ID

49920

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

The entanglement content of high-dimensional random pure states is almost maximal, nevertheless, we show that, due to the complexity of such states, the detection of their entanglement using witness operators is rather difficult. We discuss the case of unknown random states, and the case of known random states for which we can optimize the entanglement witness. Moreover, we show that coarse graining, modeled by considering mixtures of m random states instead of pure ones, leads to a decay in the entanglement detection probability exponential with m. Our results also allow to explain the emergence of classicality in coarse grained quantum chaotic dynamics.

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  • The entanglement content of high-dimensional random pure states is almost maximal, nevertheless, we show that, due to the complexity of such states, the detection of their...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.2765 [2] arXiv https://arxiv.org/abs/0706.2765 [3] Publisher https://arxiv.org/abs/0706.2765

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal

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