Quantum mechanics can simulate a classical system evolving in (and towards) thermal equilibrium. This finding adds a further ingredient to the story of what problems a computer — classical or quantum — could possibly master.
References
Somma, R. D., Batista, C. D. & Ortiz, G. Phys. Rev. Lett. 99, 030603 (2007).
van Kampen, N. G. Stochastic Processes in Physics and Chemistry (North-Holland, 1992).
Parisi, G. Statistical Field Theory (Addison-Wesley, 1988).
Kirkpatrick, S., Gelatt, C. D. Jr & Vecchi, M. P. Science 220, 671–680 (1983).
Das, A. & Chakrabarti, B. K. Quantum Annealing and Related Optimization Methods (Lecture Notes in Physics, Springer, 2005).
Santoro, G. E. & Tosatti, E. J. Phys. A 39, R393–R431 (2006).
Farhi, E., Goldstone, J., Gutmann, S. & Sipser, M. Preprint at <http://arxiv.org/quant-ph/0001106> (2000).
Aharonov, D. et al. Preprint at <http://arxiv.org/quant-ph/0405098> (2004).
Shor, P. W. SIAM J. Comp. 26, 1484–1509 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Santoro, G., Tosatti, E. Quantum to classical and back. Nature Phys 3, 593–594 (2007). https://doi.org/10.1038/nphys706
Issue Date:
DOI: https://doi.org/10.1038/nphys706
- Springer Nature Limited
This article is cited by
-
Reinforcement Quantum Annealing: A Hybrid Quantum Learning Automata
Scientific Reports (2020)
-
Quantum Computing vs. Coherent Computing
New Generation Computing (2012)