Quantum many-body Jarzynski equality and dissipative noise on a digital quantum computer
arXiv:2207.14313 · doi:10.1103/PhysRevX.13.041023
Abstract
The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While they are well established theoretically and also experimental realizations for few-body systems already exist, their experimental validity in the quantum many-body regime has not been observed so far. Here, we present results for nonequilibrium protocols in systems with up to sixteen interacting degrees of freedom obtained on trapped ion and superconducting qubit quantum computers, which test the quantum Jarzynski equality and the Crooks relation in the many-body regime. To achieve this, we overcome present-day limitations in the preparation of thermal ensembles and in the measurement of work distributions on noisy intermediate-scale quantum devices. We discuss the accuracy to which the Jarzynski equality holds on different quantum computing platforms subject to platform-specific errors. The analysis reveals the validity of Jarzynski's equality in a regime with energy dissipation, compensated for by a fast unitary drive. This provides new insights for analyzing errors in many-body quantum simulators.
arXiv comment21 pages, 14 figures
References in corpus (54)
- Double-slit photoelectron interference in strong-field ionization of the neon dimer
- Many-Body Physics with Ultracold Gases
- A nonequilibrium equality for free energy differences
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Many body localization and thermalization in quantum statistical mechanics
- The Physical Implementation of Quantum Computation
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Average Entropy of a Subsystem
- Information heat engine: converting information to energy by feedback control
- Quantum Thermodynamics
- A quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
- Fluctuation theorems: Work is not an observable
- Eigenstate Thermalization Hypothesis
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Procedure for systematically tuning up crosstalk in the cross resonance gate
- Tools for quantum simulation with ultracold atoms in optical lattices
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
- Rare events and the convergence of exponentially averaged work values
- Minimally entangled typical quantum states at finite temperature
- An experimental test of the Jarzynski equality in a mechanical experiment
- Sampling from the thermal quantum Gibbs state and evaluating partition functions with a quantum computer
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Experimental Free Energy Surface Reconstruction From Single-Molecule Force Spectroscopy Using Jarzynski's Equality
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Perspective: Quantum Thermodynamics
- Thermalization in Nature and on a Quantum Computer
- Variational Thermal Quantum Simulation via Thermofield Double States
- Irreversibility and the arrow of time in a quenched quantum system
- Exact Ising model simulation on a quantum computer
- Quantum work and the thermodynamic cost of quantum measurements
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Fully quantum fluctuation theorems
- Jarzynski equality for quantum stochastic maps
- Non-equilibrium equalities with unital quantum channels
- Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
- Experimental verification of fluctuation relations with a quantum computer
- Optimal probabilistic work extraction beyond the free energy difference with a single-electron device
- Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme
- Experimental test of exchange fluctuation relations in an open quantum system
- Work as an external quantum observable and an operational quantum work fluctuation theorem
- Quantum fluctuation theorem to benchmark quantum annealers
- Many-body Hierarchy of Dissipative Timescales in a Quantum Computer
- Nonequilibrium thermodynamics of erasure with superconducting flux logic
- Experimental test of fluctuation relations for driven open quantum systems with an NV center
- Number of trials required to estimate a free-energy difference, using fluctuation relations
- From few- to many-body quantum systems
- Harnessing Fluctuations in Thermodynamic Computing via Time-Reversal Symmetries
- How many particles make up a chaotic many-body quantum system?
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- Work and heat exchanged during sudden quenches of strongly coupled quantum systems