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Quantum Simulating Nature's Fundamental Fields
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Simulating key static and dynamic properties of matter -- from creation in the Big Bang to evolution into sub-atomic and astrophysical environments -- arising from the underlying fundamental quantum fields of the Standard Model and their effective descriptions, lies beyond the capabilities of classical computation alone. Advances in quantum technologies have improved control over quantum entanglement and coherence to the point where robust simulations are anticipated to be possible in the foreseeable future. We discuss the emerging area of quantum simulations of Standard-Model physics, challenges that lie ahead, and opportunities for progress in the context of nuclear and high-energy physics.
Forward citations
Cited by 10 Pith papers
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Binary Gauss Stabilizers for Abelian Lattice Gauge Theories
Binary Gauss stabilizers provide a non-Pauli stabilizer description of the physical subspace of Z_{2^η} lattice gauge theories, enabling bit-flip error correction and gauge fixing from gauge constraints alone.
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.
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Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations
A qudit-based circuit for SU(2) lattice gauge theory on a cube, with improved decompositions for uniformly-controlled rotations and new elementary-gate resource estimates.
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Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers
Partially fault-tolerant [[4,2,2]] Iceberg-code simulations on ibm_boston improve local Ising observables over unencoded baselines by a few percent in 1D and over 200% in 2D at late times via Observable-Ranked Postselection.
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The Practicality of Randomized Quantum Linear Systems Solvers
A randomized Fourier-series quantum linear-systems solver needs on the order of 10^15 non-Clifford gates even for a 4×4 matrix with condition number 100, making the scheme impractical despite formally bounded errors.
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Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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Ab initio many-fermion structure calculations on a quantum computer
A quantum-classical resolvent method with a new fermionic block-encoding input scheme computes the spectrum and J values of 20O in a truncated sd-shell space, matching classical diagonalization.
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Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors
A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.
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Qubit Regularization of Quantum Field Theories
Asymptotically free QFTs can appear as crossover phenomena from decoupled critical points in finite-dimensional qubit models, and a monomer-dimer-tensor-network basis offers new qubit-regularized lattice gauge theories.
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