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Gaussian interferometric power as a measure of continuous-variable non-Markovianity

Souza, Leonardo A.M.; Dhar, Himadri Shekhar; Bera, Manabendra Nath; Liuzzo-Scorpo, Pietro; Adesso, Gerardo

Authors

Leonardo A.M. Souza

Himadri Shekhar Dhar

Manabendra Nath Bera

Pietro Liuzzo-Scorpo



Abstract

We investigate the non-Markovianity of continuous-variable Gaussian quantum channels through the evolution of an operational metrological quantifier, namely, the Gaussian interferometric power, which captures the minimal precision that can be achieved using bipartite Gaussian probes in a black-box phase estimation setup, where the phase shift generator is a priori unknown. We observe that the monotonicity of the Gaussian interferometric power under the action of local Gaussian quantum channels on the ancillary arm of the bipartite probes is a natural indicator of Markovian dynamics; consequently, its breakdown for specific maps can be used to construct a witness and an effective quantifier of non-Markovianity. In our work, we consider two paradigmatic Gaussian models, the damping master equation and the quantum Brownian motion, and identify analytically and numerically the parameter regimes that give rise to non-Markovian dynamics. We then quantify the degree of non-Markovianity of the channels in terms of Gaussian interferometric power, showing, in particular, that even nonentangled probes can be useful to witness non-Markovianity. This establishes an interesting link between the dynamics of bipartite continuous-variable open systems and their potential for optical interferometry. The results are an important supplement to the recent research on characterization of non-Markovianity in continuous-variable systems.

Journal Article Type Article
Publication Date Nov 30, 2015
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 1094-1622
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 92
Issue 5
APA6 Citation Souza, L. A. M., Souza, L. A., Dhar, H. S., Bera, M. N., Liuzzo-Scorpo, P., & Adesso, G. (2015). Gaussian interferometric power as a measure of continuous-variable non-Markovianity. Physical Review A, 92(5), https://doi.org/10.1103/physreva.92.052122
DOI https://doi.org/10.1103/physreva.92.052122
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.052122
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2015 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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