Dynamic thermalization on noisy quantum hardware
arXiv:2407.04770 · doi:10.1038/s42005-025-02011-6
Abstract
Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. However, thermalization typically requires a large system size due to incorporating a thermal bath, whilst limited resources of near-term digital quantum processors allow for simulating relatively small systems. We show that thermal observables and fluctuations may be obtained for a small closed system without a thermal bath. Thermal observables occur upon classically averaging quantum mechanical observables over randomized variants of their time evolution that run independently on a digital quantum processor. Using an IBM quantum computer, we experimentally find thermal occupation probabilities with finite positive and negative temperatures defined by the initial state's energy. Averaging over random evolutions facilitates error mitigation, with the noise contributing to the temperature in the simulated observables. This result fosters probing the dynamical emergence of equilibrium properties of matter at finite temperatures on noisy intermediate-scale quantum hardware.
15 pages, 7 figures
References in corpus (45)
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The many-body localization phase transition
- Error mitigation for short-depth quantum circuits
- Many-body localization edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Noise tailoring for scalable quantum computation via randomized compiling
- Cloud Quantum Computing of an Atomic Nucleus
- Quantum-assisted quantum compiling
- Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
- Negative Absolute Temperature for Motional Degrees of Freedom
- Prethermalization and universal dynamics in near-integrable quantum systems
- Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
- Detecting crosstalk errors in quantum information processors
- Order from chaos: Observation of large-scale flow from turbulence in a two-dimensional superfluid
- Digital zero noise extrapolation for quantum error mitigation
- Microscopic diagonal entropy and its connection to basic thermodynamic relations
- Resource Efficient Zero Noise Extrapolation with Identity Insertions
- Spin gradient demagnetization cooling of ultracold atoms
- Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution
- Suppression of Density Fluctuations in a Quantum Degenerate Fermi Gas
- Random free fermions: An analytical example of eigenstate thermalization
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Variational preparation of finite-temperature states on a quantum computer
- Revisiting the Fermi Golden Rule: Quantum Dynamical Phase Transition as a Paradigm Shift
- Quantum error correction of coherent errors by randomization
- Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels
- Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
- Observation of light thermalization to negative temperature Rayleigh-Jeans equilibrium states in multimode optical fibers
- Stabilizing multiple topological fermions on a quantum computer
- Two-level system hyperpolarization using a quantum Szilard engine
- Prethermalization and dynamical transition in an isolated trapped ion spin chain
- High-fidelity realization of the AKLT state on a NISQ-era quantum processor
- Randomized compiling for scalable quantum computing on a noisy superconducting quantum processor
- Role of Fock-space correlations in many-body localization
- Observation of a finite-energy phase transition in a one-dimensional quantum simulator
- Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
- Ultrafast dynamics of cold Fermi gas after a local quench
- Energy dynamics, information and heat flow in quenched cooling and the crossover from quantum to classical thermodynamics
- Thermalization and Criticality on an Analog-Digital Quantum Simulator