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arXiv · 2112.13917

Mixed-Integer Programming Using a Bosonic Quantum Computer

Farhad Khosravi·Artur Scherer·Pooya Ronagh
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Abstract

We propose a scheme for solving mixed-integer programming problems in which the optimization problem is translated to a ground-state preparation problem on a set of bosonic quantum field modes (qumodes). We perform numerical demonstrations by simulating a circuit-based optical quantum computer with each individual qumode prepared in a Gaussian state. We simulate an adiabatic evolution from an initial mixing Hamiltonian, written in terms of the momentum operators of the qumodes, to a final Hamiltonian which is a polynomial of the position and boson number operators. In these demonstrations, we solve a variety of small non-convex optimization problems in integer programming, continuous non-convex optimization, and mixed-integer programming.

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Farhad Khosravi, Artur Scherer, Pooya Ronagh. 2021-12-27. Mixed-Integer Programming Using a Bosonic Quantum Computer. https://doi.org/10.1109/qce57702.2023.00029

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