A remark on the paper ``Randomizing quantum states: Constructions and applications''

2008/02/28 by Aubrun, Guillaume
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.0802.4193

Abstract

The concept of \e-randomizing quantum channels has been introduced by Hayden, Leung, Shor and Winter in connection with approximately encrypting quantum states. They proved using a discretization argument that sets of roughly d log d random unitary operators provide examples of such channels on \C^d. We show that a simple trick improves the efficiency of the argument and reduces the number of unitary operators to roughly d.

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