Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation

Abstract

Quantum thermodynamic uncertainty relations establish fundamental trade-offs between the precision achievable in quantum systems and associated thermodynamic quantities such as entropy production or dynamical activity. While foundational, empirical demonstrations have thus far been confined to specific cases, either assuming time-reversal symmetry or involving particular measurement types, leaving the verification of their universal validity unrealized. This work leverages a quantum computer to report the first empirical verification of a general quantum thermodynamic uncertainty relation, valid for arbitrary dynamics and observables. We theoretically derive the relation, revealing survival activity as the pivotal thermodynamic quantity governing the precision bound. The verification is demonstrated on IBM's cloud-based quantum processor, which is treated as a real thermodynamic system. To achieve accurate results despite substantial device errors, we introduce a generic protocol for measuring survival activity and employ circuit reduction techniques based on the relation's properties. This strategy allows us to empirically identify survival activity for the first time and confirm the derived relation. Furthermore, the quantum computer's versatility enables the implementation of optimal observables, leading to the saturation of the relation and demonstrating the sharpness of our bound on a physical device. The method's broad applicability is further illustrated by verifying the trade-off for quantum time correlators. Our findings establish quantum computers as effective platforms for investigating fundamental thermodynamic trade-off relations.

Published version. Main text: 11 pages with 6 figures. Appendix: 16 pages with 19 figures

References in corpus (26)

• Charge insensitive qubit design derived from the Cooper pair box
• Thermodynamic uncertainty relation for biomolecular processes
• Quantum Simulation for High Energy Physics
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Noisy intermediate-scale quantum computers
• Thermodynamic cost of creating correlations
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• Approaching optimal entangling collective measurements on quantum computing platforms
• Unified thermodynamic-kinetic uncertainty relation
• Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
• Thermally driven quantum refrigerator autonomously resets superconducting qubit
• Thermodynamic Bound on the Asymmetry of Cross-Correlations
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Experimental verification of fluctuation relations with a quantum computer
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Role of Quantum Coherence in Kinetic Uncertainty Relations
• Effect of Measurement Backaction on Quantum Clock Precision Studied with a Superconducting Circuit
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Fundamental accuracy-resolution trade-off for timekeeping devices
• Thermodynamics of quantum trajectories on a quantum computer
• Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
• Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
• Dynamic Cooling on Contemporary Quantum Computers
• Thermodynamic correlation inequality
• Universal framework for simultaneous tomography of quantum states and SPAM noise

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• Fundamental precision limits in finite-dimensional quantum thermal machines
• Orthogonal frequency-division multiplexing for simultaneous gate operations on multiple qubits via a shared control line
• Information-thermodynamic bounds on precision in interacting quantum systems
• Universal Precision Limits in General Open Quantum Systems