Thermodynamics of quantum trajectories on a quantum computer

Abstract

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.

6+4 pages, 4+2 figures

References in corpus (12)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• The large deviation approach to statistical mechanics
• An Open-System Quantum Simulator with Trapped Ions
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Quantum collision models: open system dynamics from repeated interactions
• OpenQASM 3: A broader and deeper quantum assembly language
• The Bitter Truth About Quantum Algorithms in the NISQ Era
• Scalable error mitigation for noisy quantum circuits produces competitive expectation values
• Digital quantum simulation of open quantum systems using quantum imaginary time evolution
• Quantum simulation of dissipative collective effects on noisy quantum computers
• Evidence of Kardar-Parisi-Zhang scaling on a digital quantum simulator
• Sanov and Central Limit Theorems for output statistics of quantum Markov chains

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• Machine learning of quantum channels on NISQ devices
• Efficient post-selection in light-cone correlations of monitored quantum circuits
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Thermodynamics of hybrid quantum rotor devices
• Biasing quantum trajectories for enhanced sensing
• Fundamental precision limits in finite-dimensional quantum thermal machines
• Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems
• Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits
• Efficient Simulation of Open Quantum Systems on NISQ Trapped-Ion Hardware