Parity Quantum Optimization: Compiler

Kilian Ender1,2, Roeland ter Hoeven1,2, Benjamin E. Niehoff1, Maike Drieb-Schön1,2, and Wolfgang Lechner1,2

1Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria
2Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria

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We introduce parity quantum optimization with the aim of solving optimization problems consisting of arbitrary $k$-body interactions and side conditions using planar quantum chip architectures. The method introduces a decomposition of the problem graph with arbitrary $k$-body terms using generalized closed cycles of a hypergraph. Side conditions of the optimization problem in form of hard constraints can be included as open cycles containing the terms involved in the side conditions. The generalized parity mapping thus circumvents the need to translate optimization problems to a quadratic unconstrained binary optimization problem (QUBO) and allows for the direct encoding of higher-order constrained binary optimization problems (HCBO) on a square lattice and full parallelizability of gates.

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The above citations are from Crossref's cited-by service (last updated successfully 2024-06-18 04:33:34) and SAO/NASA ADS (last updated successfully 2024-06-18 04:33:35). The list may be incomplete as not all publishers provide suitable and complete citation data.