Complete criterion for convex-Gaussian-state detection.

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• Anna Vershynina (RWTH Aachen)
• Thursday 12 February 2015, 14:15-15:15
• MR4, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

If you have a question about this talk, please contact William Matthews.

Majorana fermions offer a possible way to realize the universal quantum computation. It was shown if the noisy ancillae are convex mixtures of Gaussian fermionic states and the computation involves only non-interacting fermions operations, one can classically simulate such quantum computation. Hence rises the interest in developing a complete criterion that determines whether a state is convex-Gaussian. I will review a criterion by de Melo et al. that aims at characterizing the set of convex-Gaussian state from the outside and introduce a new one that characterizes the set from the inside. If a state fails the first program, it is not convex-Gaussian, and if it is passes the new one, it is convex-Gaussian. Both criteria are complete, i.e. the set of convex-Gaussian states can be approximated with an arbitrary precision by states that pass these criteria.

This talk is part of the CQIF Seminar series.

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