We propose a multipartite resource theoretic framework for local Gaussian work extraction where several parties attempt at extracting work locally, each having access to a local heat bath (possibly with a different temperature), assisted with an energy-preserving global unitary. We identify as free any state that is obtained from a product of thermal states (possibly at different temperatures) acted upon by any linear-optics (passive Gaussian) transformation. The associated free operations are then all linear-optics transformations supplemented with tensoring and partial tracing. We show that the local Gaussian extractable work (if each player applies a Gaussian unitary, assisted with linear optics) is zero if and only if the covariance matrix of the system is that of a free state. We then provide a simple closed-form formula for local Gaussian extractable work from a multimode Gaussian state. Further, using a concentration inequality, we show that local Gaussian extractable work for multimode bosonic systems is typically zero. Therefore, we prove that random Gaussian states are typically useless for local Gaussian work extraction. The talk will be based on Refs. [1,2].
 U. Singh, M. G. Jabbour, Z. V. Herstraeten, and N. J. Cerf, Quantum thermodynamics in a multipartite setting: A resource theory of local Gaussian work extraction for multimode bosonic systems, Phys. Rev. A 100, 042104 (2019).
 U. Singh, J. Korbicz, N. J. Cerf, Multimode Gaussian states are typically useless for local Gaussian work extraction, in preparation.
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Topic: Quantum Information and Quantum Computing Working Group
Time: February 25, 2021, 3:15 PM Warsaw
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