Towards the real-time evolution of gauge-invariant and quantum link models on NISQ Hardware with error-mitigation
arXiv:2109.15065 · doi:10.1103/PhysRevD.106.094502
Abstract
Practical quantum computing holds clear promise in addressing problems not generally tractable with classical simulation techniques, and some key physically interesting applications are those of real-time dynamics in strongly coupled lattice gauge theories. In this article, we benchmark the real-time dynamics of and gauge invariant plaquette models using noisy intermediate scale quantum (NISQ) hardware, specifically the superconducting-qubit-based quantum IBM Q computers. We design quantum circuits for models of increasing complexity and measure physical observables such as the return probability to the initial state, and locally conserved charges. NISQ hardware suffers from significant decoherence and corresponding difficulty to interpret the results. We demonstrate the use of hardware-agnostic error mitigation techniques, such as circuit folding methods implemented via the Mitiq package, and show what they can achieve within the quantum volume restrictions for the hardware. Our study provides insight into the choice of Hamiltonians, construction of circuits, and the utility of error mitigation methods to devise large-scale quantum computation strategies for lattice gauge theories.
arXiv comment20 pages, 15 figures
References in corpus (65)
- Quantum Computing in the NISQ era and beyond
- Fault-tolerant quantum computation by anyons
- Chaos and Quantum Thermalization
- Probing many-body dynamics on a 51-atom quantum simulator
- A Quantum Engineer's Guide to Superconducting Qubits
- Many-body localization in a quantum simulator with programmable random disorder
- Extending the computational reach of a noisy superconducting quantum processor
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Validating quantum computers using randomized model circuits
- Efficient variational quantum simulator incorporating active error minimisation
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Many-body localization: an introduction and selected topics
- Universal digital quantum simulation with trapped ions
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Experimental Comparison of Two Quantum Computing Architectures
- Simulating Lattice Gauge Theories within Quantum Technologies
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Exponential suppression of bit or phase flip errors with repetitive error correction
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Quantum simulations and many-body physics with light
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
- Error-mitigated digital quantum simulation
- Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
- A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- QCD as a Quantum Link Model
- Digital zero noise extrapolation for quantum error mitigation
- Digitization of Scalar Fields for Quantum Computing
- Resource Efficient Zero Noise Extrapolation with Identity Insertions
- Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
- Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
- SU(2) hadrons on a quantum computer
- Towards analog quantum simulations of lattice gauge theories with trapped ions
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- Simulating open quantum systems: from many-body interactions to stabilizer pumping
- Simulation of Nonequilibrium Dynamics on a Quantum Computer
- Mitiq: A software package for error mitigation on noisy quantum computers
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Non-Abelian Lattice Gauge Theories in Superconducting Circuits
- Emerging 2D Gauge theories in Rydberg configurable arrays
- Digital-Analog Quantum Computation
- Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
- Quantum simulation of the universal features of the Polyakov loop
- Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
- Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
- Unified approach to data-driven quantum error mitigation
- Oracles for Gauss's law on digital quantum computers
- Dynamical quantum phase transitions: a brief survey
- A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
- Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
- Quantum simulation of scattering in the quantum Ising model
- The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
- Rigorous measurement error correction
- Dimensional Expressivity Analysis of Parametric Quantum Circuits
- Improved Hamiltonians for Quantum Simulations
- SO(3) "Nuclear Physics" with ultracold Gases
- Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
- Simulating quench dynamics on a digital quantum computer with data-driven error mitigation
- Fixed-Point Quantum Circuits for Quantum Field Theories
- Particle Physics and Condensed Matter: The Saga Continues
- Hierarchical Qubit Maps and Hierarchical Quantum Error Correction
- General error mitigation for quantum circuits
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- Quench dynamics of the Schwinger model via variational quantum algorithms
- Dynamical quantum phase transitions of the Schwinger model: real-time dynamics on IBM Quantum
- Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
- Topological Defects in Floquet Circuits
- Zero noise extrapolation on logical qubits by scaling the error correction code distance
- Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
- Spontaneous symmetry breaking in a non-Abelian lattice gauge theory in D with quantum algorithms
- Quantum error mitigation in optimized circuits for particle-density correlations in real-time dynamics of the Schwinger model
- Shearing approach to gauge-invariant Trotterization