Quantum Computation of Phase Transition in Interacting Scalar Quantum Field Theory

• URL: http://arxiv.org/abs/2303.02425v1
• Date: Sat, 4 Mar 2023 14:11:37 GMT
• Title: Quantum Computation of Phase Transition in Interacting Scalar Quantum Field Theory
• Authors: Shane Thompson and George Siopsis
• Abstract summary: It has been demonstrated that the critical point of the phase transition in scalar quantum field theory can be approximated via a Gaussian Effective Potential (GEP) We perform quantum computations with various lattice sizes and obtain evidence of a transition from a symmetric to a symmetry-broken phase. We implement the ten-site case on IBM quantum hardware using the Variational Quantum Eigensolver (VQE) algorithm to minimize the GEP.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It has been demonstrated that the critical point of the phase transition in scalar quantum field theory with a quartic interaction in one space dimension can be approximated via a Gaussian Effective Potential (GEP). We discuss how this critical point can be estimated using quantum hardware. We perform quantum computations with various lattice sizes and obtain evidence of a transition from a symmetric to a symmetry-broken phase. We use both discrete- and continuous-variable quantum computation. We implement the ten-site case on IBM quantum hardware using the Variational Quantum Eigensolver (VQE) algorithm to minimize the GEP and identify lattice level-crossings. These are extrapolated via simulations to find the continuum critical point.

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