메뉴 건너뛰기




Volumn 284, Issue 2, 2008, Pages 481-507

Polynomial-time algorithm for simulation of weakly interacting quantum spin systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 54049095867     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0574-6     Document Type: Article
Times cited : (5)

References (23)
  • 1
    • 33750165209 scopus 로고    scopus 로고
    • "the Complexity of the Local Hamiltonian Problem"
    • 5
    • J. Kempe A. Kitaev O. Regev 2006 "The Complexity of the Local Hamiltonian Problem" SIAM J. Computing 35 5 1070 1097
    • (2006) SIAM J. Computing , vol.35 , pp. 1070-1097
    • Kempe, J.1    Kitaev, A.2    Regev, O.3
  • 2
    • 33750048490 scopus 로고    scopus 로고
    • The complexity of quantum spin systems on a two-dimensional square lattice
    • to appear in
    • Oliveira, R., Terhal, B.M.: "The complexity of quantum spin systems on a two-dimensional square lattice". http://arXiv.org/list/0504050, 2005, to appear in Quant. Inf. Comput.
    • (2005) Quant. Inf. Comput.
    • Oliveira, R.1    Terhal, B.M.2
  • 4
    • 2942655436 scopus 로고    scopus 로고
    • "perturbations of ground states in weakly interacting quantum spin systems"
    • 6
    • D. Yarotsky 2004 "Perturbations of ground states in weakly interacting quantum spin systems" J. Math. Phys. 45 6 2134
    • (2004) J. Math. Phys. , vol.45 , pp. 2134
    • Yarotsky, D.1
  • 5
    • 33947259344 scopus 로고    scopus 로고
    • "simulating adiabatic evolution of gapped spin systems"
    • T. Osborne 2007 "Simulating adiabatic evolution of gapped spin systems" Phys. Rev. A 75 032321
    • (2007) Phys. Rev. a , vol.75 , pp. 032321
    • Osborne, T.1
  • 7
    • 33748542385 scopus 로고
    • "the Rayleigh-Schrödinger perturbation and the linked-diagram theorem for a multi-configurational model space"
    • 18
    • I. Lindgren 1974 "The Rayleigh-Schrödinger perturbation and the linked-diagram theorem for a multi-configurational model space" J. Phys. B 7 18 2441
    • (1974) J. Phys. B , vol.7 , pp. 2441
    • Lindgren, I.1
  • 8
    • 0038717757 scopus 로고
    • "expansions and Phase Transitions for the Ground State of Quantum Ising Lattice Systems"
    • J. Kirkwood L. Thomas 1983 "Expansions and Phase Transitions for the Ground State of Quantum Ising Lattice Systems" Commun. Math. Phys. 88 569 580
    • (1983) Commun. Math. Phys. , vol.88 , pp. 569-580
    • Kirkwood, J.1    Thomas, L.2
  • 9
    • 0036092681 scopus 로고    scopus 로고
    • "expansions for one quasiparticle states in spin 1/2 systems"
    • N. Datta T. Kennedy 2002 "Expansions for one quasiparticle states in spin 1/2 systems" J. Stat. Phys. 108 373
    • (2002) J. Stat. Phys. , vol.108 , pp. 373
    • Datta, N.1    Kennedy, T.2
  • 11
    • 0000081512 scopus 로고
    • "infrared Catastrophe in Fermi Gases with Local Scattering Potentials"
    • P.W. Anderson 1967 "Infrared Catastrophe in Fermi Gases with Local Scattering Potentials" Phys. Rev. Lett. 18 1049
    • (1967) Phys. Rev. Lett. , vol.18 , pp. 1049
    • Anderson, P.W.1
  • 13
    • 49749176027 scopus 로고
    • "bound states of a many-particle system"
    • F. Coester 1958 "Bound states of a many-particle system" Nucl. Phys. 7 421
    • (1958) Nucl. Phys. , vol.7 , pp. 421
    • Coester, F.1
  • 14
    • 84855334530 scopus 로고    scopus 로고
    • "an Introduction to Coupled Cluster Theory for Computational Chemists"
    • T. Crawford H. Schaefer 1999 "An Introduction to Coupled Cluster Theory for Computational Chemists" Rev. Comput. Chem. 14 33 36
    • (1999) Rev. Comput. Chem. , vol.14 , pp. 33-36
    • Crawford, T.1    Schaefer, H.2
  • 16
    • 0039470427 scopus 로고    scopus 로고
    • "low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states"
    • N. Datta R. Fernández J. Fröhlich 1996 "Low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states" J. Stat. Phys. 84 455 534
    • (1996) J. Stat. Phys. , vol.84 , pp. 455-534
    • Datta, N.1    Fernández, R.2    Fröhlich, J.3
  • 17
    • 0000216581 scopus 로고    scopus 로고
    • "low temperature phase diagrams for quantum perturbations of classical spin systems"
    • C. Borgs R. Kotecký D. Ueltschi 1996 "Low temperature phase diagrams for quantum perturbations of classical spin systems" Commun. Math. Phys. 181 409 446
    • (1996) Commun. Math. Phys. , vol.181 , pp. 409-446
    • Borgs, C.1    Kotecký, R.2    Ueltschi, D.3
  • 18
    • 33745315996 scopus 로고    scopus 로고
    • "spectral Gap and Exponential Decay of Correlations"
    • M. Hastings T. Koma 2006 "Spectral Gap and Exponential Decay of Correlations" Commun. Math. Phys. 265 781
    • (2006) Commun. Math. Phys. , vol.265 , pp. 781
    • Hastings, M.1    Koma, T.2
  • 19
    • 33746640926 scopus 로고    scopus 로고
    • "lieb-Robinson bounds and the generation of correlations and topological quantum order"
    • S. Bravyi M. Hastings F. Verstraete 2006 "Lieb-Robinson bounds and the generation of correlations and topological quantum order" Phys. Rev. Lett. 97 050401
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 050401
    • Bravyi, S.1    Hastings, M.2    Verstraete, F.3
  • 20
    • 1642587733 scopus 로고    scopus 로고
    • "ground state entanglement in quantum spin chains"
    • J.I. Latorre E. Rico G. Vidal 2004 "Ground state entanglement in quantum spin chains" Quant. Inf. Comput. 4 48
    • (2004) Quant. Inf. Comput. , vol.4 , pp. 48
    • Latorre, J.I.1    Rico, E.2    Vidal, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.