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Quantum Non-Gaussianity From An Indefinite Causal Order of Gaussian Operations

2021/08/30 by Seid Koudia, Koudia, Seid, Abdelhakim Gharbi +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.2108.13074

accepted for publication in International Journal of Quantum Information on Aug 12, 2021

arxiv created 2021/08/30 · openalex publication_date 2021/08/30 · arxiv updated 2021/08/31 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

Quantum Non-Gaussian states are considered as a useful resource for many tasks in quantum information processing, from quantum metrology and quantum sensing to quantum communication and quantum key distribution. Another useful tool that is growing attention is the newly constructed quantum switch. Its applications in many tasks in quantum information have been proved to be outperforming many existing schemes in quantum communication and quantum thermometry. In this contribution, we are addressing this later to be very useful to engineer highly non-Gaussian states from Gaussian operations whose order is controlled by degrees of freedom of a control qubit. The non-convexity of the set of Gaussian states and the set of Gaussian operations guarantees the emergence of non-Gaussianity after postselection on the control qubit deterministically, in contrast to existing protocols in the literature. The non-classicality of the resulting states is discussed accordingly.

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