Wick's theorem for matrix product states

Physical Review Letters

Volumn 110, Issue 4, 2013, Pages

  Hubener R ^a   Mari, A ^a,b,c   Eisert, J ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

^c ISTITUTO NANOSCIENZE CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY OPERATORS; COLD ATOMS; CONTINUOUS ANALOGUES; CONTINUOUS SYSTEM; CORRELATION FUNCTION; CORRELATION MEASUREMENT; DENSITY MATRIX RENORMALIZATION GROUP; MATRIX PRODUCT STATE; PERTURBATIVE APPROACH; QUANTUM FIELD; QUANTUM MANY-BODY SYSTEMS; QUANTUM STATE; THREE-POINT FUNCTION; TRANSLATION INVARIANTS; UNKNOWN STATE;

ATOMIC PHYSICS; PHYSICS;

QUANTUM ENTANGLEMENT;

EID: 84872696608     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.040401     Document Type: Article

References (26)

1. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Perseus Books, Reading, MA, 1995);
2. R. P. Feynman, Quantum Electrodynamics (Westview Press, Boulder, Colorado, 1998).
3. G. C. Wick, Phys. Rev. 80, 268 (1950); PHRVAO 0031-899X 10.1103/PhysRev.80.268
4. L. Isserlis, Biometrika 11, 185 (1916). BIOKAX 0006-3444 10.1093/biomet/11.3.185
5. D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac, Quantum Inf. Comput. 7, 401 (2007). QICUAW 1533-7146
6. M. Fannes, B. Nachtergaele, and R. F. Werner, J. Phys. A 24, L185 (1991). JPHAC5 0305-4470 10.1088/0305-4470/24/4/005
7. J. Eisert, M. Cramer, and M. B. Plenio, Rev. Mod. Phys. 82, 277 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.277
8. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.259 (Pubitemid 41490660)
9. F. Verstraete and J. I. Cirac, Phys. Rev. Lett. 104, 190405 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.190405
10. T. J. Osborne, J. Eisert, and F. Verstraete, Phys. Rev. Lett. 105, 260401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.260401
11. J. Haegeman, J. I. Cirac, T. J. Osborne, H. Verschelde, and F. Verstraete, Phys. Rev. Lett. 105, 251601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.251601
12. N. Schuch, D. Perez-Garcia, and I. Cirac, Phys. Rev. B 84, 165139 (2011); PRBMDO 1098-0121 10.1103/PhysRevB.84.165139
13. M. Sanz, M. M. Wolf, D. Perez-Garcia, and J. I. Cirac, Phys. Rev. A 79, 042308 (2009); PLRAAN 1050-2947 10.1103/PhysRevA.79.042308
14. M. M. Wolf, G. Ortiz, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 97, 110403 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.110403 (Pubitemid 44394855)
15. S. Lloyd and S. L. Braunstein, Phys. Rev. Lett. 82, 1784 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.1784
16. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature (London) 449, 324 (2007); NATUAS 0028-0836 10.1038/nature06149 (Pubitemid 47449551)
17. D. Heine, M. Wilzbach, T. Raub, B. Hessmo, and J. Schmiedmayer, Phys. Rev. A 79, 021804 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.021804
18. M. M. Wolf and D. Perez-Garcia, arXiv:1005.4545.
19. M. Cramer, M. B. Plenio, S. T. Flammia, R. Somma, D. Gross, S. D. Bartlett, O. Landon-Cardinal, D. Poulin, and Y.-K. Liu, Nat. Commun. 1, 149 (2010); NCAOBW 2041-1723 10.1038/ncomms1147
20. T. Baumgratz, D. Gross, M. Cramer, and M. B. Plenio, arXiv:1207.0358.
21. S. T. Flammia, D. Gross, Y.-K. Liu, and J. Eisert, New J. Phys. 14, 095022 (2012); NJOPFM 1367-2630 10.1088/1367-2630/14/9/095022
22. M. Christandl and R. Renner, Phys. Rev. Lett. 109, 120403 (2012); PRLTAO 0031-9007 10.1103/PhysRevLett.109.120403
23. M. Christandl R. Renner Phys. Rev. Lett. 109, 159903(E) (2012); PRLTAO 0031-9007 10.1103/PhysRevLett.109.159903
24. T. Baumgratz, D. Gross, M. Cramer, and M. B. Plenio, arXiv:1207.0358.
25. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.040401 for more details on tomographic issues.
26. R. Haag, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 29, 1 (1955). KDVSAK 0023-3323