Quantum simulation of classical thermal states

Physical Review Letters

Volumn 107, Issue 17, 2011, Pages

  Dur W ^a   Van Den Nest, M ^b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

2D LATTICE; ARBITRARY DIMENSION; CLASSICAL MODEL; CLASSICAL SPIN; CLASSICAL SPIN MODELS; CLASSICAL SYSTEMS; COUPLING STRENGTHS; DENSITY OPERATORS; FREE PARAMETERS; INTERACTION STRENGTH; MECHANICAL MODEL; QUANTUM HAMILTONIANS; QUANTUM SIMULATIONS; QUANTUM STATE; QUANTUM SYSTEM; QUBIT SYSTEM; SPATIAL DIMENSION; THERMAL STATE;

GROUND STATE; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; QUANTUM OPTICS;

HAMILTONIANS;

EID: 80054724604     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.107.170402     Document Type: Article

References (26)

1. M. Mezard, G. Parisi, and M.A. Virasoro, Spin Glass Theory and Beyond (Word Scientific, Singapore, 1987).
2. J.B. Kogut, Rev. Mod. Phys. 51, 659 (1979); RMPHAT 0034-6861 10.1103/RevModPhys.51.659
3. M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
4. F.Y. Wu, Rev. Mod. Phys. 54, 235 (1982). RMPHAT 0034-6861 10.1103/RevModPhys.54.235
5. F. Barahona, J. Phys. A JPHAC5 0305-4470 15, 3241 (1982); 10.1088/0305-4470/15/10/028
6. A.D. Sokal, Surveys in Combinatorics, London Math. Soc. Lecture Note Ser., Vol.327 (Cambridge University Press, Cambridge, England, 2005), p. 173.
7. D.A. Lidar and O. Biham, Phys. Rev. E PLEEE8 1063-651X 56, 3661 (1997); 10.1103/PhysRevE.56.3661
8. D.A. Lidar, New J. Phys. 6, 167 (2004); NJOPFM 1367-2630 10.1088/1367-2630/6/1/167 (Pubitemid 39533502)
9. S. Bravyi and B. Terhal, SIAM J. Comput. 39, 1462 (2010); SMJCAT 0097-5397 10.1137/08072689X
10. S. Bravyi and R. Raussendorf, Phys. Rev. A 76, 022304 (2007); PLRAAN 1050-2947 10.1103/PhysRevA.76.022304 (Pubitemid 47223007)
11. H. Bombin and M.A. Martin-Delgado, Phys. Rev. A 77, 042322 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.042322 (Pubitemid 351590574)
12. R.D. Somma, C.D. Batista, and G. Ortiz, Phys. Rev. Lett. 99, 030603 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.030603 (Pubitemid 47168670)
13. F. Verstraete, M.M. Wolf, D. Perez-Garcia, and J.I. Cirac, Phys. Rev. Lett. 96, 220601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.220601 (Pubitemid 43839573)
14. M.-H. Yung, D. Nagaj, J.D. Whitfield, and A. Aspuru-Guzik, Phys. Rev. A 82, 060302(R) (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.060302
15. M. Van den Nest, W. Dür, and H.-J. Briegel, Phys. Rev. Lett. 100, 110501 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.110501 (Pubitemid 351415949)
16. G. De las Cuevas, W. Dür, M. Van den Nest, and H.J. Briegel, J. Stat. Mech. 1742-5468 (2009) P07001. 10.1088/1742-5468/2009/07/P07001
17. G. De las Cuevas, W. Dür, H.J. Briegel, and M.A. Martin-Delgado, Phys. Rev. Lett. 102, 230502 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.102. 230502
18. G. De las Cuevas W. Dür H.J. Briegel M.A. Martin-Delgado New J. Phys. 12, 043014 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/4/043014
19. Y. Xu, G. De las Cuevas, W. Dür, H.J. Briegel, and M.A. Martin-Delgado, J. Stat. Mech. 1742-5468 (2011) P02013. 10.1088/1742-5468/2011/ 02/P02013
20. R. Raussendorf and H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 (Pubitemid 32527770)
21. H.J. Briegel, D.E. Browne, W. Dür, R. Raussendorf, and M. Van den Nest, Nature Phys. 1, 19 (2009). NPAHAX 1745-2473 10.1038/nphys1157
22. H.J. Briegel and R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.910 (Pubitemid 32159821)
23. J.I. Cirac (private communication).
24. R. Oliveira and B.M. Terhal, Quantum Inf. Comput. QICUAW 1533-7146 8, No. 10, 0900 (2008).
25. N. Schuch and F. Verstraete, Nature Phys. 5, 732 (2009). NPAHAX 1745-2473 10.1038/nphys1370
26. M. Van den Nest, W. Dür, G. Vidal, and H.-J. Briegel, Phys. Rev. A 75, 012337 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.012337 (Pubitemid 46198282)