Performance of two different quantum annealing correction codes

Performance of two different quantum annealing correction codes Quantum annealing is a promising approach for solving optimization problems, but like all other quantum information processing methods, it requires error correction to ensure scalability. In this work, we experimentally compare two quantum annealing correction (QAC) codes in the setting of antiferromagnetic chains, using two different quantum annealing processors. The lower-temperature processor gives rise to higher success probabilities. The two codes differ in a number of interesting and important ways, but both require four physical qubits per encoded qubit. We find significant performance differences, which we explain in terms of the effective energy boost provided by the respective redundantly encoded logical operators of the two codes. The code with the higher energy boost results in improved performance, at the expense of a lower-degree encoded graph. Therefore, we find that there exists an important trade-off between encoded connectivity and performance for quantum annealing correction codes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Performance of two different quantum annealing correction codes

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1201-z
Publisher site
See Article on Publisher Site

Abstract

Quantum annealing is a promising approach for solving optimization problems, but like all other quantum information processing methods, it requires error correction to ensure scalability. In this work, we experimentally compare two quantum annealing correction (QAC) codes in the setting of antiferromagnetic chains, using two different quantum annealing processors. The lower-temperature processor gives rise to higher success probabilities. The two codes differ in a number of interesting and important ways, but both require four physical qubits per encoded qubit. We find significant performance differences, which we explain in terms of the effective energy boost provided by the respective redundantly encoded logical operators of the two codes. The code with the higher energy boost results in improved performance, at the expense of a lower-degree encoded graph. Therefore, we find that there exists an important trade-off between encoded connectivity and performance for quantum annealing correction codes.

Journal

Quantum Information ProcessingSpringer Journals

Published: Dec 14, 2015

References

  • State preservation by repetitive error detection in a superconducting quantum circuit
    Kelly, J; Barends, R; Fowler, AG; Megrant, A; Jeffrey, E; White, TC; Sank, D; Mutus, JY; Campbell, B; Chen, Y; Chen, Z; Chiaro, B; Dunsworth, A; Hoi, IC; Neill, C; O’Malley, PJJ; Quintana, C; Roushan, P; Vainsencher, A; Wenner, J; Cleland, AN; Martinis, JM
  • An open-system quantum simulator with trapped ions
    Barreiro, JT; Muller, M; Schindler, P; Nigg, D; Monz, T; Chwalla, M; Hennrich, M; Roos, CF; Zoller, P; Blatt, R
  • Quantum annealing with manufactured spins
    Johnson, MW; Amin, MHS; Gildert, S; Lanting, T; Hamze, F; Dickson, N; Harris, R; Berkley, AJ; Johansson, J; Bunyk, P; Chapple, EM; Enderud, C; Hilton, JP; Karimi, K; Ladizinsky, E; Ladizinsky, N; Oh, T; Perminov, I; Rich, C; Thom, MC; Tolkacheva, E; Truncik, CJS; Uchaikin, S; Wang, J; Wilson, B; Rose, G
  • Adiabatic quantum optimization with the wrong Hamiltonian
    Young, KC; Blume-Kohout, R; Lidar, DA

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