Fixed-Point Quantum Circuits for Quantum Field Theories

Abstract

Renormalization group ideas and effective operators are used to efficiently determine localized unitaries for preparing the ground states of non-interacting scalar field theories on digital quantum devices. With these methods, classically computed ground states in a small spatial volume can be used to determine operators for preparing the ground state in a beyond-classical quantum register, even for interacting scalar field theories. Due to the exponential decay of correlation functions and the double exponential suppression of digitization artifacts, the derived quantum circuits are expected to be relevant already for near-term quantum devices.

arXiv comment9 pages, 3 figures

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• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
• Quantum Simulating Nature's Fundamental Fields
• Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• Quantum simulation of open quantum systems in heavy-ion collisions
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
• Medium induced jet broadening in a quantum computer
• Quench dynamics of the Schwinger model via variational quantum algorithms
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• Towards the real-time evolution of gauge-invariant ${\mathbb{Z}}_2$ and $U(1)$ quantum link models on NISQ Hardware with error-mitigation
• Hierarchical Qubit Maps and Hierarchical Quantum Error Correction
• Entanglement Structures in Quantum Field Theories II: Distortions of Vacuum Correlations Through the Lens of Local Observers
• Partial-transpose-guided entanglement classes and minimum noise filtering in many-body Gaussian quantum systems
• Identification of a natural fieldlike entanglement resource in trapped-ion chains