Increase of degeneracy improves the performance of the quantum adiabatic algorithm
Name
PhysRevA.90.052317.pdf
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290.73 KB
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Adobe PDF
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3444ac11a3400ccf196f54dad1d2d4c0
Author(s)
Zhuang, Quntao
Date Issued
November 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Zhuang, Quntao. "Increase of degeneracy improves the performance of the quantum adiabatic algorithm." Phys. Rev. A 90, 052317 (November 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We propose a strategy to improve the performance of the quantum adiabatic algorithm (QAA) on an NP-hard (nondeterministic-polynomial-time-hard) problem exact cover, by increasing the ground-state degeneracy of the problem Hamiltonian. Our strategy is based on the empirical finding that for the QAA the difficulty of random instances decreases with the degeneracy of the ground state. We increase the degeneracy by adding extra qubits to form additional clauses. Our numerical results show that on average our strategy can provide an increase in the minimum gap size along the linear interpolation path of Hamiltonian for both easy and difficult instances. The success probability at fixed total evolution time is thus increased.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.90.052317
