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QI: Fachverband Quanteninformation
QI 11: Quantum Thermodynamics
QI 11.6: Vortrag
Dienstag, 19. März 2024, 11:00–11:15, HFT-TA 441
Complexity-constrained quantum thermodynamics — Anthony Munson1,2, Naga Teja Bhavya Kothakonda3,4, Jonas Haferkamp5, Nicole Yunger Halpern1,2, Jens Eisert4, and •Philippe Faist4 — 1Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park, MD 20742, USA — 2Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA — 3Physics Department, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain — 4Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 5School of Engineering and Applied Sciences, Harvard University, MA 02134, USA
Complexity measures the difficulty of realizing a quantum process, such as preparing a state or implementing a unitary. We present an approach to quantifying the thermodynamic resources required to implement a process if the process’s complexity is restricted. reset to the all-zero state. We show that the minimal thermodynamic work required to reset an arbitrary state to the all-zero state (Landauer erasure), if the process cannot exceed some complexity threshold, is quantified by the state’s complexity entropy. We prove elementary properties of the complexity (relative) entropy and determine the complexity entropy’s behavior under random circuits. Also, we identify information-theoretic applications of the complexity entropy. Overall, our approach extends the resource-theoretic approach to thermodynamics to integrate a notion of time, as quantified by complexity.
Keywords: quantum complexity; complexity entropy; resource theory