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Volumn 74, Issue 2, 2006, Pages

Classical simulation of quantum many-body systems with a tree tensor network

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTER SIMULATION; CONTINUUM MECHANICS; TENSORS; TREES (MATHEMATICS);

EID: 33747637170     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.022320     Document Type: Article
Times cited : (636)

References (33)
  • 1
    • 33747654729 scopus 로고    scopus 로고
    • quant-ph/9807006;
    • D. Gottesman, e-print quant-ph/9807006;
    • Gottesman, D.1
  • 2
    • 37649028493 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.052328
    • S. Aaronson and D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052328 70, 052328 (2004).
    • (2004) Phys. Rev. A , vol.70 , pp. 052328
    • Aaronson, S.1    Gottesman, D.2
  • 3
    • 0036508628 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.032325
    • B. M. Terhal and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032325 65, 032325 (2002);
    • (2002) Phys. Rev. A , vol.65 , pp. 032325
    • Terhal, B.M.1    Divincenzo, D.P.2
  • 5
    • 0036519749 scopus 로고    scopus 로고
    • SMJCAT 0097-5397 10.1137/S0097539700377025
    • L. G. Valiant, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539700377025 31, 1229 (2002);
    • (2002) SIAM J. Comput. , vol.31 , pp. 1229
    • Valiant, L.G.1
  • 7
    • 33747688039 scopus 로고    scopus 로고
    • quant-ph/0201143.
    • R. Jozsa and N. Linden, e-print quant-ph/0201143.
    • Jozsa, R.1    Linden, N.2
  • 8
    • 0242425255 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003);
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 147902
    • Vidal, G.1
  • 9
    • 4344570203 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
    • G. Vidal Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 040502
    • Vidal, G.1
  • 10
    • 19444381068 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401
    • The TBDE algorithm has been recast into DMRG language by S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004);
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 076401
    • White, S.R.1    Feiguin, A.E.2
  • 12
    • 33645062947 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.73.094423
    • F. Verstraete and J. I. Cirac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.094423 73, 094423 (2006).
    • (2006) Phys. Rev. B , vol.73 , pp. 094423
    • Verstraete, F.1    Cirac, J.I.2
  • 14
    • 33747731757 scopus 로고    scopus 로고
    • quant-ph/0508031;
    • T. Osborne, e-print quant-ph/0508031; e-print quant-ph/0601019
    • Osborne, T.1
  • 15
    • 33747669699 scopus 로고    scopus 로고
    • quant-ph/0511069.
    • I. Markov and Y. Shi, e-print quant-ph/0511069.
    • Markov, I.1    Shi, Y.2
  • 17
    • 4244095121 scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.75.3537
    • S. Astlund and S. Rommer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537 75, 3537 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3537
    • Astlund, S.1    Rommer, S.2
  • 18
    • 3442895828 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • S. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863 69, 2863 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.1
  • 19
    • 23844520141 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.77.259
    • For a review see U. Schollwoeck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.259 77, 259 (2005).
    • (2005) Rev. Mod. Phys. , vol.77 , pp. 259
    • Schollwoeck, U.1
  • 20
    • 0009504187 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01218021
    • MPSs and PEPSs, and its predecessors the Affleck-Kennedy-Lieb-Tasaki state and tensor product states in 1D and 2D [I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01218021 115, 477 (1988);
    • (1988) Commun. Math. Phys. , vol.115 , pp. 477
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 22
    • 3042818404 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/1/1/007
    • Y. Hieida, K. Okunishi, and Y. Akutsu, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/1/1/007 1, 7 (1999);
    • (1999) New J. Phys. , vol.1 , pp. 7
    • Hieida, Y.1    Okunishi, K.2    Akutsu, Y.3
  • 24
    • 33747641245 scopus 로고    scopus 로고
    • cond-mat/0401115.] are all based on a TN structure. Reference presents general conditions for the efficient contractability of a TN
    • Y. Nishio, cond-mat/0401115.] are all based on a TN structure. Reference presents general conditions for the efficient contractability of a TN
    • Nishio, Y.1
  • 25
    • 0035137538 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.86.910
    • H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.910 86, 910 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 910
    • Briegel, H.J.1    Raussendorf, R.2
  • 26
    • 0035963060 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188
    • R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5188
    • Raussendorf, R.1    Briegel, H.J.2
  • 27
    • 33747673846 scopus 로고    scopus 로고
    • quant-ph/0504097
    • M. A. Nielsen, e-print quant-ph/0504097
    • Nielsen, M.A.1
  • 30
    • 0004265764 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1007/s100510050904
    • and H. Niggemann Z. Zittartz, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050904 10, 731 (1999).
    • (1999) Eur. Phys. J. B , vol.10 , pp. 731
    • Niggemann, H.1    Zittartz, Z.2
  • 31
    • 0042780866 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/9/42/016
    • B Friedman, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/42/016 9, 9021-9029 (1997);
    • (1997) J. Phys.: Condens. Matter , vol.9 , pp. 9021-9029
    • Friedman, B.1
  • 32
    • 33747651911 scopus 로고    scopus 로고
    • H. Guo, presentation given at California Institute of Technology, December 2005. Reference considers DMRG on a tree, but where the Hilbert space dimension only grows linearly in the system size n.
    • Guo, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.