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Quantum Simulating Nature's Fundamental Fields
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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 16 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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Geometric fragmentation and anomalous thermalization in cubic dimer model
External electric fields in 3D U(1) quantum dimer models with staggered matter induce geometric fragmentation, weak fragmentation, and fractonic excitations in large winding sectors, producing anomalous thermalization.
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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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Quantum Simulation of Generalized Parton Distributions in the Schwinger Model
Quantum algorithm for GPDs in Schwinger model using Wilson fermions, with polynomial resource scaling and exact-diagonalization benchmarks matching theory.
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Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory
Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plu...
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.
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A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D
A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.
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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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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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Quantum Simulation of Nucleon-Antinucleon Interaction in Large-$N$ QCD$_2$ on an IBM Quantum Nighthawk Processor
Quantum simulation on IBM Nighthawk extracts attractive kink-antikink potential in large-N QCD2 mapped to XXZ chain, agreeing with exact diagonalization benchmarks.
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Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle
Correspondence shown between Rényi mutual information variation across EWSB and stabilizer Rényi entropy in tree-level 2→2 scatterings, both depending identically on sin²θ_W after angular averaging due to Yukawa inser...
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Quantum Simulation of Gauge Theories for Particle and Nuclear Physics
The talk summarizes the quantum simulation program for lattice gauge theories, covering target problems in dense matter, algorithmic strategies, recent progress, and remaining challenges.
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Quantum Complexity and New Directions in Nuclear Physics and High-Energy Physics Phenomenology
A review of how quantum information science is expected to provide new tools and insights for nuclear and high-energy physics phenomenology and quantum simulations.
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Quantum simulation of out-of-equilibrium dynamics in gauge theories
The paper reviews advances in quantum simulation of out-of-equilibrium dynamics in gauge theories, covering particle production, string breaking, thermalization, and related phenomena.
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