Please use this identifier to cite or link to this item: https://doi.org/10.1088/1751-8113/40/45/017
Title: Detecting entanglement of random states with an entanglement witness
Authors: Žnidarič, M.
Prosen, T.
Benenti, G.
Casati, G. 
Issue Date: 9-Nov-2007
Source: Žnidarič, M., Prosen, T., Benenti, G., Casati, G. (2007-11-09). Detecting entanglement of random states with an entanglement witness. Journal of Physics A: Mathematical and Theoretical 40 (45) : 13787-13798. ScholarBank@NUS Repository. https://doi.org/10.1088/1751-8113/40/45/017
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, modelled 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 us to explain the emergence of classicality in coarse grained quantum chaotic dynamics. © 2007 IOP Publishing Ltd.
Source Title: Journal of Physics A: Mathematical and Theoretical
URI: http://scholarbank.nus.edu.sg/handle/10635/96182
ISSN: 17518113
DOI: 10.1088/1751-8113/40/45/017
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