Error-Mitigated Simulation of Quantum Many-Body Scars on Quantum Computers with Pulse-Level Control
arXiv:2203.08291 · doi:10.1103/PhysRevResearch.4.043027
Abstract
Quantum many-body scars are an intriguing dynamical regime in which quantum systems exhibit coherent dynamics and long-range correlations when prepared in certain initial states. We use this combination of coherence and many-body correlations to benchmark the performance of present-day quantum computing devices by using them to simulate the dynamics of an antiferromagnetic initial state in mixed-field Ising chains of up to 19 sites. In addition to calculating the dynamics of local observables, we also calculate the Loschmidt echo and a nontrivial connected correlation function that witnesses long-range many-body correlations in the scarred dynamics. We find coherent dynamics to persist over up to 40 Trotter steps even in the presence of various sources of error. To obtain these results, we leverage a variety of error mitigation techniques including noise tailoring, zero-noise extrapolation, dynamical decoupling, and physically motivated postselection of measurement results. Crucially, we also find that using pulse-level control to implement the Ising interaction yields a substantial improvement over the standard CNOT-based compilation of this interaction. Our results demonstrate the power of error mitigation techniques and pulse-level control to probe many-body coherence and correlation effects on present-day quantum hardware.
10+9 pages 7+5 figures
References in corpus (14)
- The density-matrix renormalization group in the age of matrix product states
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Dynamics of Loschmidt echoes and fidelity decay
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Slow scrambling in disordered quantum systems
- Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Eta-pairing states as true scars in an extended Hubbard Model
- Systematic construction of scarred many-body dynamics in 1D lattice models
- Dynamics of the vacuum state in a periodically driven Rydberg chain
- Driving quantum many-body scars in the PXP model
- Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression
Cited by in corpus (5)
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Well-conditioned multi-product formulas for hardware-friendly Hamiltonian simulation
- Preparing quantum many-body scar states on quantum computers
- Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations
- Tower of quantum scars in a partially many-body localized system