Simulating quantum field theories on continuous-variable quantum computers

• URL: http://arxiv.org/abs/2403.10619v2
• Date: Wed, 10 Jul 2024 08:50:35 GMT
• Title: Simulating quantum field theories on continuous-variable quantum computers
• Authors: Steven Abel, Michael Spannowsky, Simon Williams,
• Abstract summary: We develop and prove a method to reproduce the time evolution of quantum-mechanical states under arbitrary Hamiltonians. Our method centres on constructing an evolver-state, a specially prepared quantum state that induces the desired time-evolution on the target state. We propose a framework in which these methods can be extended to encode field theories in CVQC without discretising the field values.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We delve into the use of photonic quantum computing to simulate quantum mechanics and extend its application towards quantum field theory. We develop and prove a method that leverages this form of Continuous-Variable Quantum Computing (CVQC) to reproduce the time evolution of quantum-mechanical states under arbitrary Hamiltonians, and we demonstrate the method's remarkable efficacy with various potentials. Our method centres on constructing an evolver-state, a specially prepared quantum state that induces the desired time-evolution on the target state. This is achieved by introducing a non-Gaussian operation using a measurement-based quantum computing approach, enhanced by machine learning. Furthermore, we propose a framework in which these methods can be extended to encode field theories in CVQC without discretising the field values, thus preserving the continuous nature of the fields. This opens new avenues for quantum computing applications in quantum field theory.

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