SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 10: Quantum Thermodynamics and Open Quantum Systems I
QI 10.3: Talk
Tuesday, March 7, 2023, 11:45–12:00, B302
Catalytic Gaussian thermal operations — •Benjamin Yadin1, Hyejung Jee2, Carlo Sparaciari2,3, Gerardo Adesso4, and Alessio Serafini3 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany — 2Department of Computing, Imperial College London, London SW7 2AZ, UK — 3Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK — 4School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
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 a single mode, in that they do not expand the set of states reachable from a given initial state. We then go on to prove that weak catalysts (where final correlations with the system are allowed) are 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.