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Quantum simulation of gauge theory via orbifold lattice
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abstract
We propose a new framework for simulating $\text{U}(k)$ Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.
Forward citations
Cited by 10 Pith papers
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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
Monte Carlo-assisted tightening of the energy-based boson truncation bound substantially reduces volume dependence in (1+1)D scalar field theory and (2+1)D U(1) gauge theory.
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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
A Monte Carlo-assisted analytic method tightens energy-based bounds on boson truncation errors, substantially reducing the volume dependence of the required cutoff in scalar and gauge theories.
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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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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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A minimal implementation of Yang-Mills theory on a digital quantum computer
A minimal implementation of SU(N) pure Yang-Mills theory on digital quantum computers is presented with simplified Hamiltonians, improved infinite-mass convergence, and SU(2) embedding into R^4, benchmarked by Monte C...
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Toward Quantum Simulation of SU(2) Gauge Theory using Non-Compact Variables
New simplified Hamiltonians, compact qubit encoding for SU(2), and an added Hamiltonian term reduce quantum resources while still reaching the Kogut-Susskind limit in (2+1)D SU(2) lattice gauge theory.
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Ether of Orbifolds
Orbifold lattices incur m^4 Trotter overhead, m^2 contamination, and mandatory mass extrapolation, rendering them 10^4 to 10^10 times costlier than alternatives for a 10^3 calculation.
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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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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
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Comments on "Ether of Orbifolds"
ε_g in the orbifold lattice formulation measures the shift in effective lattice spacing generated dynamically by complex matrix VEVs, not gauge symmetry breaking.
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