First-order transitions and the performance of quantum algorithms in random optimization problems
Physical Review Letters, ISSN: 0031-9007, Vol: 104, Issue: 20, Page: 207206
2010
- 80Citations
- 47Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations80
- Citation Indexes80
- 80
- CrossRef75
- Captures47
- Readers47
- 47
Article Description
We present a study of the phase diagram of a random optimization problem in the presence of quantum fluctuations. Our main result is the characterization of the nature of the phase transition, which we find to be a first-order quantum phase transition. We provide evidence that the gap vanishes exponentially with the system size at the transition. This indicates that the quantum adiabatic algorithm requires a time growing exponentially with system size to find the ground state of this problem. © 2010 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=77953083534&origin=inward; http://dx.doi.org/10.1103/physrevlett.104.207206; http://www.ncbi.nlm.nih.gov/pubmed/20867059; https://link.aps.org/doi/10.1103/PhysRevLett.104.207206; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevLett.104.207206/fulltext; http://link.aps.org/article/10.1103/PhysRevLett.104.207206
American Physical Society (APS)
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