Thermodynamics of quantum trajectories on a quantum computer

Fuente: arXiv
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Hauptverfasser: Cech, Marcel, Lesanovsky, Igor, Carollo, Federico
Format: Preprint
Veröffentlicht: 2023
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author Cech, Marcel
Lesanovsky, Igor
Carollo, Federico
author_facet Cech, Marcel
Lesanovsky, Igor
Carollo, Federico
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_07124
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermodynamics of quantum trajectories on a quantum computer
Cech, Marcel
Lesanovsky, Igor
Carollo, Federico
Quantum Physics
Statistical Mechanics
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.
title Thermodynamics of quantum trajectories on a quantum computer
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2301.07124