Speedup via quantum sampling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 4, 2008, Pages

  Wocjan, Pawel ^a   Abeyesinghe, Anura ^a  

^a University of Central Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MONTE CARLO METHODS; QUANTUM COMPUTERS; QUANTUM OPTICS; QUANTUM THEORY;

APPROXIMATION SCHEMES; CLASSICAL MIXING; COMBINATORIAL ENUMERATIONS; MARKOV CHAINS; QUANTUM ALGORITHMS; RUNNING TIMES; SPEED-UP; STATIONARY DISTRIBUTIONS; STATISTICAL PHYSICS;

MARKOV PROCESSES;

EID: 55749115823     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.042336     Document Type: Article

References (16)

1. M. Jerrum, A. Sinclair, and E. Vigoda, J. ACM 51, 671 (2004). 10.1145/1008731.1008738
2. M. Dyer, A. Frieze, and R. Kannan, J. ACM 38, 1 (1991). 10.1145/102782.102783
3. M. Jerrum and A. Sinclair, SIAM J. Comput. 18, 1149 (1989). 10.1137/0218077
4. M. Jerrum and A. Sinclair, SIAM J. Comput. 22, 1087 (1993). 10.1137/0222066
5. A. Sinclair, Algorithms for Generation and Counting-A Markov Chain Approach (Birkhauser, Boston, 1992).
6. M. Jerrum, Counting, Sampling and Integrating: Algorithms and Complexity, Lectures in Mathematics (Birkhauser, Boston, 2003).
7. M. Szegedy, in Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science (IEEE, New York, 2004), pp. 32-41.
8. F. Magniez, A. Nayak, J. Roland, and M. Santha, in Proceedings of the 39th Annual ACM Symposium on Theory of Computing (ACM, Washington, DC, 2007), pp. 575-584.
9. P. C. Richter, Phys. Rev. A 76, 042306 (2007). 10.1103/PhysRevA.76.042306
10. D. Aharonov and A. Ta-Shma (2003), Proc. of the 35th Annual ACM Symposium on Theory, pp. 20-29.
11. R. Somma, S. Boixo, and H. Barnum, e-print arXiv:0712.1008.
12. R. Somma, S. Boixo, H. Barnum, and E. Knill, e-print arXiv:0804.1571.
13. L. Grover, e-print arXiv:quant-ph/0503205.
14. P. Hoyer, Lect. Notes Comput. Sci. 3827, 308 (2005). 10.1007/11602613_32
15. M. Boyer, G. Brassard, P. Hoyer, and A. Tapp, Fortschr. Phys. 46, 493 (1998). 10.1002/(SICI)1521-3978(199806)46:4/5<493::AID-PROP493>3.0.CO;2-P
16. M. Mitzenmacher and E. Upfal, Probability and Computing-Randomized Algorithms and Probabilistic Analysis (Cambridge University Press, Cambridge, England, 2005).