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.
arXiv comment10+9 pages 7+5 figures
References in corpus (76)
- Quantum Computing in the NISQ era and beyond
- The density-matrix renormalization group in the age of matrix product states
- Variational Quantum Algorithms
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Noisy intermediate-scale quantum (NISQ) algorithms
- Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
- Dynamical suppression of decoherence in two-state quantum systems
- Fast quantum gates for neutral atoms
- Error mitigation for short-depth quantum circuits
- Quantum many-body scars
- Extending the computational reach of a noisy superconducting quantum processor
- Quantum optimization using variational algorithms on near-term quantum devices
- Efficient variational quantum simulator incorporating active error minimisation
- Dynamics of Loschmidt echoes and fidelity decay
- Efficient Z-Gates for Quantum Computing
- Noise tailoring for scalable quantum computation via randomized compiling
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum process tomography of a controlled-NOT gate
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Chaos and complexity by design
- Theory of variational quantum simulation
- Optimal Quantum Circuits for General Two-Qubit Gates
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Simulating Physical Phenomena by Quantum Networks
- Mitigating measurement errors in multi-qubit experiments
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Quantum Algorithms for Fermionic Simulations
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Simulating quantum many-body dynamics on a current digital quantum computer
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- Virtual Distillation for Quantum Error Mitigation
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Real- and imaginary-time evolution with compressed quantum circuits
- 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
- Hardware-efficient variational quantum algorithms for time evolution
- Qiskit Pulse: Programming Quantum Computers Through the Cloud with Pulses
- Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
- Many Body Scars as a Group Invariant Sector of Hilbert Space
- Eta-pairing states as true scars in an extended Hubbard Model
- Exponential Error Suppression for Near-Term Quantum Devices
- Reducing unitary and spectator errors in cross resonance with optimized rotary echoes
- Methodology for replacing indirect measurements with direct measurements
- Adaptive Variational Quantum Dynamics Simulations
- Mitiq: A software package for error mitigation on noisy quantum computers
- Parallel Quantum Simulation of Large Systems on Small Quantum Computers
- An efficient quantum algorithm for the time evolution of parameterized circuits
- Systematic construction of scarred many-body dynamics in 1D lattice models
- From tunnels to towers: quantum scars from Lie Algebras and q-deformed Lie Algebras
- Error-Mitigated Quantum Gates Exceeding Physical Fidelities in a Trapped-Ion System
- Simple Mitigation of Global Depolarizing Errors in Quantum Simulations
- Mitigating realistic noise in practical noisy intermediate-scale quantum devices
- Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
- Quasi-symmetry groups and many-body scar dynamics
- Pulse-efficient circuit transpilation for quantum applications on cross-resonance-based hardware
- Dynamics of the vacuum state in a periodically driven Rydberg chain
- Multi-exponential Error Extrapolation and Combining Error Mitigation Techniques for NISQ Applications
- Confinement and Entanglement Dynamics on a Digital Quantum Computer
- Quantum scars of bosons with correlated hopping
- Extending quantum probabilistic error cancellation by noise scaling
- Experimentally scalable protocol for identification of correctable codes
- Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer
- Driving quantum many-body scars in the PXP model
- Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
- Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression
- Multi-magnon quantum many-body scars from tensor operators
- Experimental implementation of non-Clifford interleaved randomized benchmarking with a controlled-S gate
- Simulating quench dynamics on a digital quantum computer with data-driven error mitigation
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