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Thermodynamics of quantum trajectories on a quantum computer

Title: Thermodynamics of quantum trajectories on a quantum computer
Authors: Cech, Marcel; Lesanovsky, Igor; Carollo, Federico
Source: Phys. Rev. Lett. 131, 120401 (2023)
Publication Year: 2023
Collection: Condensed Matter; Quantum Physics
Subject Terms: Quantum Physics; Condensed Matter - Statistical Mechanics
Description: Quantum computers have recently become available as noisy intermediate-scale quantum devices. Already these machines yield a useful environment for research on quantum systems and dynamics. Building on this opportunity, we investigate open-system dynamics that are simulated on a quantum computer by coupling a system of interest to an ancilla. After each interaction the ancilla is measured and the sequence of measurements defines a quantum trajectory. Using a thermodynamic analogy, which identifies trajectories as microstates, we show how to control the dynamics of the open system in order to enhance the probability of quantum trajectories with desired properties, e.g., particular patterns or temporal correlations. We discuss how such biased -- generally non-Markovian -- dynamics can be implemented on a unitary, gate-based quantum computer and show proof-of-principle results on the publicly accessible \texttt{ibm\_jakarta} machine. While our study is solely conducted on small systems, it highlights the challenges in controlling complex aspects of open-system dynamics on digital quantum computers.; Comment: 6+4 pages, 4+2 figures
Document Type: Working Paper
DOI: 10.1103/PhysRevLett.131.120401
Access URL: http://arxiv.org/abs/2301.07124
Accession Number: edsarx.2301.07124
Database: arXiv