Polymer Physics by Quantum Computing

• URL: http://arxiv.org/abs/2104.10102v1
• Date: Tue, 20 Apr 2021 16:34:38 GMT
• Title: Polymer Physics by Quantum Computing
• Authors: Cristian Micheletti, Philipp Hauke, and Pietro Faccioli
• Abstract summary: We develop a formalism based on interacting binary tensors that allows for tackling the hard problem of sampling equilibrium ensembles of dense polymer mixtures. Our approach is general in that properties such as self-avoidance, branching, and looping can be specified in terms of quadratic interactions of the tensors. Our systematic approach offers a promising avenue to harness the rapid development of quantum computers for sampling discrete models of filamentous soft-matter systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Sampling equilibrium ensembles of dense polymer mixtures is a paradigmatically hard problem in computational physics, even in lattice-based models. Here, we develop a formalism based on interacting binary tensors that allows for tackling this problem using quantum annealing machines. Our approach is general in that properties such as self-avoidance, branching, and looping can all be specified in terms of quadratic interactions of the tensors. Microstates realizations of different lattice polymer ensembles are then seamlessly generated by solving suitable discrete energy-minimization problems. This approach enables us to capitalize on the strengths of quantum annealing machines, as we demonstrate by sampling polymer mixtures from low to high densities, using the D-Wave quantum computer. Our systematic approach offers a promising avenue to harness the rapid development of quantum computers for sampling discrete models of filamentous soft-matter systems.

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