Hi,
Next week's seminar talk will be by Philippe Faist, who will talk about his M.Sc. work in Renato's group:
Tuesday, April 5, 17:00, HIT J 51.
Best regards,
Stefan ____________________________________________
Title: Thermodynamic State Preparation
Abstract: We analyze the work costs of processes that prepare arbitrary given states on quantum systems using a heat bath. We use an effective model approach where specific elementary operations are postulated, namely the application of an arbitrary unitary, the thermalization with a heat bath, and the adiabatic raising or lowering of individual energy levels of the Hamiltonian. Several explicit processes are analyzed, all of which exhibit a work cost structure with a cost term corresponding to the erasure of the initial system, as given by Landauer’s principle, and an extracted work term related to the preparation of the final state. We then consider a second system, a memory, that we want to correlate with the system in the preparation of a joint state. A `brutal' approach performs optimally in the i.i.d. limit, exactly compensating the work cost of the erasure process proposed in [del Rio, L. et al., arXiv:1009.1630, 2010] and thus proving both processes’ optimality in this regime. In the single-shot scenario, the work cost is given by the conditional min entropy under the assumption that the memory only contains information about the system to be prepared. In general, correlations between the memory and other systems cannot be preserved.
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