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Cited by 167

The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.

Probing for quantum speedup in spin-glass problems with planted solutions

Open access
Hen, Itay, Job, Joshua, Albash, Tameem, Rønnow, Troels F., Troyer, Matthias, Lidar, Daniel A.·2015·Physical Review A

Abstract

The availability of quantum annealing devices with hundreds of qubits has made the experimental demonstration of a quantum speedup for optimization problems a coveted, albeit elusive goal. Going beyond earlier studies of random Ising problems, here we introduce a method to construct a set of frustrated Ising-model optimization problems with tunable hardness. We study the performance of a D-Wave Two device (DW2) with up to 503 qubits on these problems and compare it to a suite of classical algorithms, including a highly optimized algorithm designed to compete directly with the DW2. The problems are generated around predetermined ground-state configurations, called planted solutions, which makes them particularly suitable for benchmarking purposes. The problem set exhibits properties familiar from constraint satisfaction (SAT) problems, such as a peak in the typical hardness of the problems, determined by a tunable clause density parameter. We bound the hardness regime where the DW2 device either does not or might exhibit a quantum speedup for our problem set. While we do not find evidence for a speedup for the hardest and most frustrated problems in our problem set, we cannot rule out that a speedup might exist for some of the easier, less frustrated problems. Our empirical findings pertain to the specific D-Wave processor and problem set we studied and leave open the possibility that future processors might exhibit a quantum speedup on the same problem set.

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Metadata

Authors
Hen, I., Job, J., Albash, T., Rønnow, T. F., Troyer, M., & Lidar, D. A.
Venue
Physical Review A
Published
2015-10-23
Volume
92
Issue
4
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
OpenAlex
W1636291537
Cited by
167
References
11
FWCI
21.27
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Probing for quantum speedup in spin-glass problems with planted solutions. https://app.cochat.ai/papers/10.1103/physreva.92.042325
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Hen, I., Job, J., Albash, T., Rønnow, T. F., Troyer, M., & Lidar, D. A. (2015). Probing for quantum speedup in spin-glass problems with planted solutions. Physical Review A. https://doi.org/10.1103/physreva.92.042325

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