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Volumn 287, Issue 1, 2009, Pages 41-65

The power of quantum systems on a line

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EID: 60449087232     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0710-3     Document Type: Article
Times cited : (175)

References (35)
  • 5
    • 17744390031 scopus 로고    scopus 로고
    • Adiabatic quantum computation is equivalent to standard quantum computation
    • Los Alamitos, CA: IEEE Comp. Soc.
    • Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., Regev, O.: Adiabatic quantum computation is equivalent to standard quantum computation. In: Proc. 45th FOCS, Los Alamitos, CA: IEEE Comp. Soc., 2004, pp. 42-51
    • (2004) Proc. 45th FOCS , pp. 42-51
    • Aharonov, D.1    Van Dam, W.2    Kempe, J.3    Landau, Z.4    Lloyd, S.5    Regev, O.6
  • 6
    • 0001051761 scopus 로고
    • On the computational complexity of Ising spin glass models
    • F. Barahona 1982 On the computational complexity of Ising spin glass models J. Phys. A: Math. Gen. 15 3241 3253
    • (1982) J. Phys. A: Math. Gen. , vol.15 , pp. 3241-3253
    • Barahona, F.1
  • 7
    • 0043230411 scopus 로고
    • Spin glasses: Experimental facts, theoretical concepts, and open questions
    • K. Binder A.P. Young 1986 Spin glasses: Experimental facts, theoretical concepts, and open questions Rev. Mod. Phys. 58 801 976
    • (1986) Rev. Mod. Phys. , vol.58 , pp. 801-976
    • Binder, K.1    Young, A.P.2
  • 8
    • 0036146412 scopus 로고    scopus 로고
    • Robustness of adiabatic quantum computation
    • A. Childs E. Farhi J. Preskill 2002 Robustness of adiabatic quantum computation Phys. Rev. A 65 012322
    • (2002) Phys. Rev. A , vol.65 , pp. 012322
    • Childs, A.1    Farhi, E.2    Preskill, J.3
  • 9
    • 33847378907 scopus 로고    scopus 로고
    • Improved gap estimates for simulating quantum circuits by adiabatic evolution
    • 2
    • P. Deift M.B. Ruskai W. Spitzer 2007 Improved gap estimates for simulating quantum circuits by adiabatic evolution Quant Infor. Proc. 6 2 121 125
    • (2007) Quant Infor. Proc. , vol.6 , pp. 121-125
    • Deift, P.1    Ruskai, M.B.2    Spitzer, W.3
  • 10
    • 0002433737 scopus 로고
    • Quantum mechanical computers
    • R. Feynman 1985 Quantum mechanical computers Optics News 11 11 21
    • (1985) Optics News , vol.11 , pp. 11-21
    • Feynman, R.1
  • 11
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
    • 5516
    • E. Farhi J. Goldstone S. Gutmann J. Lapan A. Lundgren D. Preda 2001 A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem Science 292 5516 472 476
    • (2001) Science , vol.292 , pp. 472-476
    • Farhi, E.1    Goldstone, J.2    Gutmann, S.3    Lapan, J.4    Lundgren, A.5    Preda, D.6
  • 13
    • 25744458207 scopus 로고
    • Critical behavior of random transverse-field Ising spin chains
    • 10
    • D.S. Fisher 1995 Critical behavior of random transverse-field Ising spin chains Phys. Rev. B 51 10 6411 6461
    • (1995) Phys. Rev. B , vol.51 , pp. 6411-6461
    • Fisher, D.S.1
  • 14
    • 60449108367 scopus 로고    scopus 로고
    • Personal communication
    • Hastings, M.: Personal communication
    • Hastings, M.1
  • 15
    • 41549155846 scopus 로고    scopus 로고
    • An area law for one dimensional quantum systems
    • Hastings, M.: An area law for one dimensional quantum systems. JSTAT. P08024 (2007)
    • (2007) JSTAT
    • Hastings, M.1
  • 18
    • 33750968768 scopus 로고    scopus 로고
    • Error-correcting codes for adiabatic quantum computation
    • S.P. Jordan E. Farhi P.W. Shor 2006 Error-correcting codes for adiabatic quantum computation Phys. Rev. A 74 052322
    • (2006) Phys. Rev. A , vol.74 , pp. 052322
    • Jordan, S.P.1    Farhi, E.2    Shor, P.W.3
  • 20
    • 48049105752 scopus 로고    scopus 로고
    • The computational power of symmetric hamiltonians
    • A. Kay 2008 The computational power of symmetric hamiltonians Phys. Rev. A. 78 012346
    • (2008) Phys. Rev. A. , vol.78 , pp. 012346
    • Kay, A.1
  • 21
    • 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. Comp. 35 5 1070 1097
    • (2006) SIAM J. Comp. , vol.35 , pp. 1070-1097
    • Kempe, J.1    Kitaev, A.2    Regev, O.3
  • 24
    • 51649098507 scopus 로고    scopus 로고
    • Hamiltonian quantum cellular automata in 1d
    • D. Nagaj P. Wocjan 2008 Hamiltonian quantum cellular automata in 1d Phys. Rev. A 78 032311
    • (2008) Phys. Rev. A , vol.78 , pp. 032311
    • Nagaj, D.1    Wocjan, P.2
  • 25
    • 33749987043 scopus 로고    scopus 로고
    • Efficient approximation of the dynamics of one-dimensional quantum spin systems
    • T. Osborne 2006 Efficient approximation of the dynamics of one-dimensional quantum spin systems Phys. Rev. Lett. 97 157202
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 157202
    • Osborne, T.1
  • 26
    • 34147163424 scopus 로고    scopus 로고
    • Ground state of a class of noncritical one-dimensional quantum spin systems can be approximated efficiently
    • T. Osborne 2007 Ground state of a class of noncritical one-dimensional quantum spin systems can be approximated efficiently Phys. Rev. A 75 042306
    • (2007) Phys. Rev. A , vol.75 , pp. 042306
    • Osborne, T.1
  • 27
    • 55049139520 scopus 로고    scopus 로고
    • The complexity of quantum spin systems on a two-dimensional square lattice
    • 10
    • R. Oliveira B. Terhal 2008 The complexity of quantum spin systems on a two-dimensional square lattice Quant. Inf. Comp. 8 10 0900 0924
    • (2008) Quant. Inf. Comp. , vol.8 , pp. 0900-0924
    • Oliveira, R.1    Terhal, B.2
  • 28
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • U. Schollwöck 2005 The density-matrix renormalization group Rev. Mod. Phys. 77 259 316
    • (2005) Rev. Mod. Phys. , vol.77 , pp. 259-316
    • Schollwöck, U.1
  • 29
    • 33749058504 scopus 로고    scopus 로고
    • Universally programmable quantum cellular automaton
    • D.J. Shepherd T. Franz R.F. Werner 2006 Universally programmable quantum cellular automaton Phys. Rev. Lett. 97 020502
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 020502
    • Shepherd, D.J.1    Franz, T.2    Werner, R.F.3
  • 30
    • 0000162933 scopus 로고
    • Relationship between d-dimensional quantal spin systems and (d+1)-dimensional ising systems
    • 5
    • M. Suzuki 1976 Relationship between d-dimensional quantal spin systems and (d+1)-dimensional ising systems Prog. Theor. Phys. 56 5 1454 1469
    • (1976) Prog. Theor. Phys. , vol.56 , pp. 1454-1469
    • Suzuki, M.1
  • 32
    • 0022911518 scopus 로고
    • NP is as easy as detecting unique solutions
    • 3
    • L.G. Valiant V.V. Vazirani 1986 NP is as easy as detecting unique solutions Theor. Comput. Sci. 47 3 85 93
    • (1986) Theor. Comput. Sci. , vol.47 , pp. 85-93
    • Valiant, L.G.1    Vazirani, V.V.2
  • 34
    • 3442895828 scopus 로고
    • Density matrix formulation for quantum renormalization groups
    • S.R. White 1992 Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 69 2863
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 35
    • 20044389808 scopus 로고
    • Density-matrix algorithms for quantum renormalization groups
    • S.R. White 1993 Density-matrix algorithms for quantum renormalization groups Phys. Rev. B 48 10345
    • (1993) Phys. Rev. B , vol.48 , pp. 10345
    • White, S.R.1


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