Quantum simulation of gauge theory via orbifold lattice

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.

38 pages. v2: accepted version. v3: a few minor corrections

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• Quantum Information Scrambling: From Holography to Quantum Simulators
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Simulating Effective QED on Quantum Computers
• Quench dynamics of the Schwinger model via variational quantum algorithms
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• Towards a variational Jordan-Lee-Preskill quantum algorithm
• Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques
• Toward QCD on Quantum Computer: Orbifold Lattice Approach
• Lattice studies of supersymmetric gauge theories
• Protecting local and global symmetries in simulating 1+1-D non-abelian gauge theories
• A model of randomly-coupled Pauli spins
• Scattering Amplitude from Quantum Computing with Reduction Formula
• Thermal phase structure of dimensionally reduced super-Yang--Mills
• Estimating truncation effects of quantum bosonic systems using sampling algorithms
• Lattice regularizations of $\theta$ vacua: Anomalies and qubit models
• Block encoding bosons by signal processing
• Variational Monte Carlo with Neural Network Quantum States for Yang-Mills Matrix Model
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Emerging (2+1)D massive graviton in graphene-like systems
• Field digitization scaling in a ${\mathbb{Z}}_N\subset U(1)$ symmetric model
• Shearing approach to gauge-invariant Trotterization