Hamiltonian gadgets with reduced resource requirements

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 91, Issue 1, 2015, Pages

  Cao, Yudong ^a,b   Babbush, Ryan ^c   Biamonte, Jacob ^d   Kais, Sabre ^a,b,e,f  

^a Purdue University   (United States)

^b HAMAD BIN KHALIFA UNIVERSITY   (Qatar)

^c HARVARD UNIVERSITY   (United States)

^d ISI FOUNDATION   (Italy)

^e PURDUE UNIVERSITY   (United States)

^f SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUIPMENT; QUANTUM COMPUTERS;

ADIABATIC QUANTUM COMPUTATION; COMPUTATIONAL PROBLEM; CONTROL PARAMETERS; CONTROL PRECISION; EFFICIENT ENCODING; EXPERIMENTAL SYSTEM; RESOURCE REQUIREMENTS; TWO-BODY INTERACTIONS;

HAMILTONIANS;

EID: 84921419441     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.91.012315     Document Type: Article

References (25)

1. D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, SIAM J. Comput. 37, 166 (2007). SMJCAT 0097-5397 10.1137/S0097539705447323
2. A. Mizel, D. A. Lidar, and M. Mitchell, Phys. Rev. Lett. 99, 070502 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.070502
3. R. Oliveira and B. Terhal, Quantum Inf. Comput. 8, 0900 (2008).
4. J. D. Biamonte and P. J. Love, Phys. Rev. A 78, 012352 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.012352
5. B. A. Chase and A. J. Landahl, arXiv:0802.1207v1.
6. A. Kitaev, A. H. Shen, and M. N. Vyalyi, Classical and Quantum Computation, AMS Graduate Studies in Mathematics (American Mathematical Society, Providence, RI, 2002).
7. J. Kempe, A. Kitaev, and O. Regev, SIAM J. Comput. 35, 1070 (2006). SMJCAT 0097-5397 10.1137/S0097539704445226
8. Toby Cubitt and Ashley Montanaro, arXiv:1311.3161.
9. J. D. Biamonte, V. Bergholm, J. D. Whitfield, J. Fitzsimons, and A. Aspuru-Guzik, AIP Advances 1, 022126 (2011). 2158-3226 10.1063/1.3598408
10. L. Veis and J. Pittner, J. Chem. Phys. 140, 214111 (2014). 0021-9606 10.1063/1.4880755
11. S. Bravyi, D. DiVincenzo, D. Loss, and B. Terhal, Phys. Rev. Lett. 101, 070503 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.070503
12. N. Schuch and F. Verstraete, Nat. Phys. 5, 732 (2009). 1745-2473 10.1038/nphys1370
13. A. Ganti, U. Onunkwo, and K. Young, arXiv:1309.1674.
14. S. P. Jordan and E. Farhi, Phys. Rev. A 77, 062329 (2008). 1050-2947 10.1103/PhysRevA.77.062329
15. C. Bloch, Nucl. Phys. 6, 329 (1958). NUPHA7 0029-5582 10.1016/0029-5582(58)90116-0
16. M. D. Price, S. S. Somaroo, A. E. Dunlop, T. F. Havel, and D. G. Cory, Phys. Rev. A 60, 2777 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.60.2777
17. C. H. Tseng, S. S. Somaroo, Y. S. Sharf, E. Knill, R. Laflamme, T. F. Havel, and D. G. Cory, Phys. Rev. A 61, 012302 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.61.012302
18. R. Harris, Phys. Rev. Lett. 98, 177001 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.177001
19. S. Boixo, T. Albash, F. M. Spedalieri, N. Chancellor, and D. A. Lidar, Nat. Commun. 4, 2067 (2013) 10.1038/ncomms3067.
20. Z. Bian, F. Chudak, W. G. Macready, L. Clark, and F. Gaitan, Phys. Rev. Lett. 111, 130505 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.130505
21. K. L. Pudenz, T. Albash, and D. A. Lidar, Nat. Commun. 5, 3243 (2014). 2041-1723 10.1038/ncomms4243
22. J. D. Biamonte, Phys. Rev. A 77, 052331 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.052331
23. J. D. Whitfield, M. Faccin, and J. D. Biamonte, Europhys. Lett. 99, 57004 (2012). EULEEJ 0295-5075 10.1209/0295-5075/99/57004
24. R. Babbush, B. O'Gorman, and A. Aspuru-Guzik, Ann. Phys. (Leipzig) 525, 877 (2013). ANPYA2 0003-3804 10.1002/andp.201300120
25. S. Bravyi, D. P. DiVincenzo, and D. Loss, Ann. Phys. (NY) 326, 2793 (2011). APNYA6 0003-4916 10.1016/j.aop.2011.06.004