Schrödinger cat state preparation by non-Gaussian continuous variable gate

2020/04/12 by I. V. Sokolov, Ivan V. Sokolov, Sokolov, Ivan V.
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.48550/arxiv.2004.05642

arxiv created 2020/04/12 · arxiv updated 2020/04/14

Abstract

We propose a non-Gaussian continuous variable (CV) gate which is able to conditionally produce superposition of two "copies" of an arbitrary input state well separated in the coordinate and momentum plane - a Schrödinger cate state. The gate uses cubic phase state of an ancillary oscillator as a non-Gaussian resource, an entangling Gaussian gate, and homodyne measurement which provides nonunique information about the target system canonical variables, which is a key feature of the scheme. We show that this nonuniqueness manifests problems which may arise by extension of the Heisenberg picture onto the measurement-induced evolution of CV non-Gaussian networks, if this is done in an approach commonly used for CV Gaussian schemes of quantum information.

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