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

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

2008-02-28

arxiv.org/abs/0802.4193v1

Physics

Quantum Physics

Scientific paper

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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