Parity Quantum Optimization: Compiler

Parity Quantum Optimization: Compiler

Time Stamp: March 17, 2023 5:42 AM
Source Node: 2019757

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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Abstract

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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Cited by

[1] Dylan Herman, Cody Googin, Xiaoyuan Liu, Alexey Galda, Ilya Safro, Yue Sun, Marco Pistoia, and Yuri Alexeev, "A Survey of Quantum Computing for Finance", arXiv:2201.02773, (2022).

[2] Sheir Yarkoni, Elena Raponi, Thomas Bäck, and Sebastian Schmitt, "Quantum annealing for industry applications: introduction and review", Reports on Progress in Physics 85 10, 104001 (2022).

[3] Clemens Dlaska, Kilian Ender, Glen Bigan Mbeng, Andreas Kruckenhauser, Wolfgang Lechner, and Rick van Bijnen, "Quantum Optimization via Four-Body Rydberg Gates", Physical Review Letters 128 12, 120503 (2022).

[4] P. V. Sriluckshmy, Vicente Pina-Canelles, Mario Ponce, Manuel G. Algaba, Fedor Šimkovic, and Martin Leib, "Optimal, hardware native decomposition of parameterized multi-qubit Pauli gates", arXiv:2303.04498, (2023).

[5] Martin Lanthaler, Clemens Dlaska, Kilian Ender, and Wolfgang Lechner, "Rydberg blockade based parity quantum optimization", arXiv:2210.05604, (2022).

[6] Krzysztof Domino, Akash Kundu, Özlem Salehi, and Krzysztof Krawiec, "Quadratic and higher-order unconstrained binary optimization of railway rescheduling for quantum computing", Quantum Information Processing 21 9, 337 (2022).

[7] Maike Drieb-Schön, Kilian Ender, Younes Javanmard, and Wolfgang Lechner, "Parity Quantum Optimization: Encoding Constraints", arXiv:2105.06235, (2021).

[8] Michael Fellner, Kilian Ender, Roeland ter Hoeven, and Wolfgang Lechner, "Parity Quantum Optimization: Benchmarks", arXiv:2105.06240, (2021).

[9] Kilian Ender, Anette Messinger, Michael Fellner, Clemens Dlaska, and Wolfgang Lechner, "Modular Parity Quantum Approximate Optimization", PRX Quantum 3 3, 030304 (2022).

[10] Narendra N. Hegade, Koushik Paul, F. Albarrán-Arriagada, Xi Chen, and Enrique Solano, "Digitized adiabatic quantum factorization", Physical Review A 104 5, L050403 (2021).

[11] Michael Fellner, Anette Messinger, Kilian Ender, and Wolfgang Lechner, "Applications of universal parity quantum computation", Physical Review A 106 4, 042442 (2022).

[12] Federico Dominguez, Josua Unger, Matthias Traube, Barry Mant, Christian Ertler, and Wolfgang Lechner, "Encoding-Independent Optimization Problem Formulation for Quantum Computing", arXiv:2302.03711, (2023).

[13] R. Cumming and T. Thomas, "Using a quantum computer to solve a real-world problem -- what can be achieved today?", arXiv:2211.13080, (2022).

[14] Anita Weidinger, Glen Bigan Mbeng, and Wolfgang Lechner, "Error Mitigation for Quantum Approximate Optimization", arXiv:2301.05042, (2023).

The above citations are from SAO/NASA ADS (last updated successfully 2023-03-17 21:59:42). The list may be incomplete as not all publishers provide suitable and complete citation data.

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