Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing

Abstract

The only known way to study quantum field theories in non-perturbative regimes is using numerical calculations regulated on discrete space-time lattices. Such computations, however, are often faced with exponential signal-to-noise challenges that render key physics studies untenable even with next generation classical computing. Here, a method is presented by which the output of small-scale quantum computations on Noisy Intermediate-Scale Quantum era hardware can be used to accelerate larger-scale classical field theory calculations through the construction of optimized interpolating operators. The method is implemented and studied in the context of the 1+1-dimensional Schwinger model, a simple field theory which shares key features with the standard model of nuclear and particle physics.

arXiv comment5 pages, 2 figures; reference fixed in v2

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Cited by in corpus (24)

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• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
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• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Quantum simulation of open quantum systems in heavy-ion collisions
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Selected topics of quantum computing for nuclear physics
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Towards Finding an Optimal Flight Gate Assignment on a Digital Quantum Computer
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Quantum Simulation of Bound State Scattering
• End-to-end complexity for simulating the Schwinger model on quantum computers
• Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
• Sequence of penalties method to study excited states using VQE
• Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory
• Accelerating variational quantum algorithms with multiple quantum processors
• Creation of Wave Packets for Quantum Chromodynamics on Quantum Computers