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Catalytic Gaussian thermal operations

Yadin, Benjamin; Jee, Hyejung; Sparaciari, Carlo; Adesso, Gerardo; Serafini, Alessio

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Benjamin Yadin

Hyejung Jee

Carlo Sparaciari

Alessio Serafini


We examine the problem of state transformations in the framework of Gaussian thermal resource theory in the presence of catalysts. To this end, we introduce an expedient parametrisation of covariance matrices in terms of principal mode temperatures and asymmetries, and consider both weak and strong catalytic scenarios. We show that strong catalysts (where final correlations with the system are forbidden) are useless for the single mode case, in that they do not expand the set of states reachable from a given initial state through Gaussian thermal operations. We then go on to prove that weak catalysts (where final correlations with the system are allowed) are instead capable of reaching more final system states, and determine exact conditions for state transformations of a single mode in their presence. Next, we derive necessary conditions for Gaussian thermal state transformations holding for any number of modes, for strong catalysts and approximate transformations, and for weak catalysts with and without the addition of a thermal bath. We discuss the implications of these results for devices operating with Gaussian elements.


Yadin, B., Jee, H., Sparaciari, C., Adesso, G., & Serafini, A. (2022). Catalytic Gaussian thermal operations. Journal of Physics A: Mathematical and Theoretical, 55(32), Article 325301.

Journal Article Type Article
Acceptance Date Jul 4, 2022
Online Publication Date Jul 20, 2022
Publication Date Jul 20, 2022
Deposit Date Jul 22, 2022
Publicly Available Date Jul 22, 2022
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 55
Issue 32
Article Number 325301
Keywords General Physics and Astronomy; Mathematical Physics; Modeling and Simulation; Statistics and Probability; Statistical and Nonlinear Physics
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