메뉴 건너뛰기




Volumn 2, Issue 6, 2012, Pages 907-920

Low entanglement wavefunctions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84867358070     PISSN: 17590876     EISSN: 17590884     Source Type: Journal    
DOI: 10.1002/wcms.1095     Document Type: Article
Times cited : (43)

References (98)
  • 1
    • 20044389808 scopus 로고
    • Density-matrix algorithms for quantum renormalization groups
    • White SR. Density-matrix algorithms for quantum renormalization groups. Phys Rev B 1993, 48:48-10356.
    • (1993) Phys Rev B , vol.48 , pp. 48-10356
    • White, S.R.1
  • 2
    • 3442895828 scopus 로고
    • Density matrix formulation for quantum renormalization groups
    • White SR. Density matrix formulation for quantum renormalization groups. Phys Rev Lett 1992, 69:69-2866.
    • (1992) Phys Rev Lett , vol.69 , pp. 69-2866
    • White, S.R.1
  • 3
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • Schollwöck U. The density-matrix renormalization group. Rev Mod Phys 2005, 77:77-315.
    • (2005) Rev Mod Phys , vol.77 , pp. 77-315
    • Schollwöck, U.1
  • 4
    • 33751183759 scopus 로고    scopus 로고
    • New trends in density matrix renormalization.
    • Hallberg KA. New trends in density matrix renormalization. Adv Phys 2006, 55:55-526.
    • (2006) Adv Phys , vol.55 , pp. 55-526
    • Hallberg, K.A.1
  • 6
    • 84867347834 scopus 로고    scopus 로고
    • The density-matrix renormalization group in the age of matrix product states
    • Schollwöck U. The density-matrix renormalization group in the age of matrix product states. Ann Phys 2010, 326:326-213.
    • (2010) Ann Phys , vol.326 , pp. 326-213
    • Schollwöck, U.1
  • 7
    • 79953760908 scopus 로고    scopus 로고
    • The density matrix renormalization group in quantum chemistry
    • Chan GK-L, Sharma S. The density matrix renormalization group in quantum chemistry. Annu Rev Phys Chem 2011, 62:62-481.
    • (2011) Annu Rev Phys Chem , vol.62 , pp. 62-481
    • Chan, G.-L.1    Sharma, S.2
  • 8
    • 77953311057 scopus 로고    scopus 로고
    • The density matrix renormalization group algorithm in quantum chemistry
    • Marti KH, Reiher M. The density matrix renormalization group algorithm in quantum chemistry. Z Phys Chem 2010, 224:224-599.
    • (2010) Z Phys Chem , vol.224 , pp. 224-599
    • Marti, K.H.1    Reiher, M.2
  • 9
    • 0000977416 scopus 로고
    • Product wave function renormalization group
    • Nishino T, Okunishi K. Product wave function renormalization group. J Phys Soc Jpn 1995, 64:64-4087.
    • (1995) J Phys Soc Jpn , vol.64 , pp. 64-4087
    • Nishino, T.1    Okunishi, K.2
  • 10
    • 0039530617 scopus 로고    scopus 로고
    • Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains
    • Martin-
    • Dukelsky J, Martin-Delgado MA, Nishino T, Sierra G. Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains. Europhys Lett 1998, 43:43-462.
    • (1998) Europhys Lett , vol.43 , pp. 43-462
    • Dukelsky, J.1    Delgado, M.A.2    Nishino, T.3    Sierra, G.4
  • 11
    • 0001892623 scopus 로고    scopus 로고
    • Density matrix renormalization group: introduction from a variational point of view
    • Nishino T, Hikihara T, Okunishi K, Hieida Y. Density matrix renormalization group: introduction from a variational point of view. Int J Mod Phys B 1999, 13:13-26.
    • (1999) Int J Mod Phys B , vol.13 , pp. 13-26
    • Nishino, T.1    Hikihara, T.2    Okunishi, K.3    Hieida, Y.4
  • 12
    • 0039466933 scopus 로고    scopus 로고
    • Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group
    • Rommer S, Östlund S. Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group. Phys Rev B 1997, 55:55-2181.
    • (1997) Phys Rev B , vol.55 , pp. 55-2181
    • Rommer, S.1    Östlund, S.2
  • 13
    • 37649026836 scopus 로고    scopus 로고
    • Density matrix renormalization group and periodic boundary conditions: a quantum information perspective
    • 227205.
    • Verstraete F, Porras D, Cirac JI. Density matrix renormalization group and periodic boundary conditions: a quantum information perspective. Phys Rev Lett 2004, 93:227205.
    • (2004) Phys Rev Lett , vol.93
    • Verstraete, F.1    Porras, D.2    Cirac, J.I.3
  • 14
    • 44949237042 scopus 로고    scopus 로고
    • Density matrix renormalisation group Lagrangians
    • Chan GK-L. Density matrix renormalisation group Lagrangians. Phys Chem Chem Phys 2008, 10:10-3459.
    • (2008) Phys Chem Chem Phys , vol.10 , pp. 10-3459
    • Chan, G.-L.1
  • 15
    • 46849106741 scopus 로고    scopus 로고
    • Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
    • Verstraete F, Murg V, Cirac JI. Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems. Adv Phys 2008, 57:57-224.
    • (2008) Adv Phys , vol.57 , pp. 57-224
    • Verstraete, F.1    Murg, V.2    Cirac, J.I.3
  • 16
    • 4344570203 scopus 로고    scopus 로고
    • Efficient simulation of one-dimensional quantum many-body systems
    • 40502.
    • Vidal G. Efficient simulation of one-dimensional quantum many-body systems. Phys Rev Lett 2004, 93:40502.
    • (2004) Phys Rev Lett , vol.93
    • Vidal, G.1
  • 17
    • 7044265124 scopus 로고    scopus 로고
    • Optimizing the density-matrix renormalization group method using quantum information entropy
    • 195116.
    • Legeza Ö, Sólyom J. Optimizing the density-matrix renormalization group method using quantum information entropy. Phys Rev B 2003, 68:195116.
    • (2003) Phys Rev B , vol.68
    • Legeza, O.1    Sólyom, J.2
  • 18
    • 0000107179 scopus 로고    scopus 로고
    • Ab initio quantum chemistry using the density matrix renormalization group
    • White SR, Martin RL. Ab initio quantum chemistry using the density matrix renormalization group. J Chem Phys 1999, 110:110-4130.
    • (1999) J Chem Phys , vol.110 , pp. 110-4130
    • White, S.R.1    Martin, R.L.2
  • 19
    • 0034692197 scopus 로고    scopus 로고
    • Full-CI quantum chemistry using the density matrix renormalization group
    • Daul S, Ciofini I, Daul C, White SR. Full-CI quantum chemistry using the density matrix renormalization group. Int J Quantum Chem 2000, 79:79-342.
    • (2000) Int J Quantum Chem , vol.79 , pp. 79-342
    • Daul, S.1    Ciofini, I.2    Daul, C.3    White, S.R.4
  • 20
    • 0037085855 scopus 로고    scopus 로고
    • Highly correlated calculations with a polynomial cost algorithm: a study of the density matrix renormalization group
    • Chan GK-L, Head-Gordon M. Highly correlated calculations with a polynomial cost algorithm: a study of the density matrix renormalization group. J Chem Phys 2002, 116:116-4476.
    • (2002) J Chem Phys , vol.116 , pp. 116-4476
    • Chan, G.-L.1    Head-Gordon, M.2
  • 21
    • 1642377222 scopus 로고    scopus 로고
    • An algorithm for large scale density matrix renormalization group calculations
    • Chan GK-L. An algorithm for large scale density matrix renormalization group calculations. J Chem Phys 2004, 120:120-3178.
    • (2004) J Chem Phys , vol.120 , pp. 120-3178
    • Chan, G.-L.1
  • 22
    • 0037526168 scopus 로고    scopus 로고
    • Exact solution (within a triple-zeta, double polarization basis set) of the electronic Schrödinger equation for water
    • Chan GK-L, Head-Gordon M. Exact solution (within a triple-zeta, double polarization basis set) of the electronic Schrödinger equation for water. J Chem Phys 2003, 118:118-8554.
    • (2003) J Chem Phys , vol.118 , pp. 118-8554
    • Chan, G.-L.1    Head-Gordon, M.2
  • 23
    • 7044249341 scopus 로고    scopus 로고
    • State-of-the-art density matrix renormalization group and coupled cluster theory studies of the nitrogen binding curve
    • Chan GK-L, Kállay M, Gauss J. State-of-the-art density matrix renormalization group and coupled cluster theory studies of the nitrogen binding curve. J Chem Phys 2004, 121:121-6116.
    • (2004) J Chem Phys , vol.121 , pp. 121-6116
    • Chan, G.-L.1    Kállay, M.2    Gauss, J.3
  • 24
    • 34548065142 scopus 로고    scopus 로고
    • Density-matrix renormalization-group algorithms with nonorthogonal orbitals and non-Hermitian operators, and applications to polyenes
    • 204101.
    • Chan GK-L, Van Voorhis T. Density-matrix renormalization-group algorithms with nonorthogonal orbitals and non-Hermitian operators, and applications to polyenes. J Chem Phys 2005, 122:204101.
    • (2005) J Chem Phys , vol.122
    • Chan, G.-L.1    Van Voorhis, T.2
  • 25
    • 33750021405 scopus 로고    scopus 로고
    • Multireference correlation in long molecules with the quadratic scaling density matrix renormalization group
    • 144101.
    • Hachmann J, Cardoen W, Chan GK-L. Multireference correlation in long molecules with the quadratic scaling density matrix renormalization group. J Chem Phys 2006, 125:144101.
    • (2006) J Chem Phys , vol.125
    • Hachmann, J.1    Cardoen, W.2    Chan, G.-L.3
  • 26
    • 35148825478 scopus 로고    scopus 로고
    • The radical character of the acenes: a density matrix renormalization group study
    • 134309.
    • Hachmann J, Dorando JJ, Avilés M, Chan GK-L. The radical character of the acenes: a density matrix renormalization group study. J Chem Phys 2007, 127:134309.
    • (2007) J Chem Phys , vol.127
    • Hachmann, J.1    Dorando, J.J.2    Avilés, M.3    Chan, G.-L.4
  • 28
    • 42149189360 scopus 로고    scopus 로고
    • Orbital optimization in the density matrix renormalization group, with applications to polyenes and β-carotene
    • 144117.
    • Ghosh D, Hachmann J, Yanai T, Chan GK-L. Orbital optimization in the density matrix renormalization group, with applications to polyenes and β-carotene. J Chem Phys 2008, 128:144117.
    • (2008) J Chem Phys , vol.128
    • Ghosh, D.1    Hachmann, J.2    Yanai, T.3    Chan, G.-L.4
  • 29
    • 67249160223 scopus 로고    scopus 로고
    • Analytic theory of response in the density matrix renormalization group
    • 184111.
    • Dorando JJ, Hachmann J, Chan GK-L. Analytic theory of response in the density matrix renormalization group. J Chem Phys 2009, 130:184111.
    • (2009) J Chem Phys , vol.130
    • Dorando, J.J.1    Hachmann, J.2    Chan, G.-L.3
  • 30
    • 67649101532 scopus 로고    scopus 로고
    • High-performance ab initio density matrix renormalization group method: applicability to large-scale multireference problems for metal compounds
    • 234114.
    • Kurashige Y, Yanai T. High-performance ab initio density matrix renormalization group method: applicability to large-scale multireference problems for metal compounds. J Chem Phys 2009, 130:234114.
    • (2009) J Chem Phys , vol.130
    • Kurashige, Y.1    Yanai, T.2
  • 31
    • 0037882094 scopus 로고    scopus 로고
    • Controlling the accuracy of the density-matrix renormalization-group method: the dynamical block state selection approach
    • 125114.
    • Legeza Ö, Rö der J, Hess BA. Controlling the accuracy of the density-matrix renormalization-group method: the dynamical block state selection approach. Phys Rev B 2003, 67:125114.
    • (2003) Phys Rev B , vol.67
    • Legeza, O.1    Rö der, J.2    Hess, B.A.3
  • 32
    • 0347310138 scopus 로고    scopus 로고
    • QC-DMRG study of the ionic-neutral curve crossing of LiF
    • Legeza Ö, Rö der J, Hess BA. QC-DMRG study of the ionic-neutral curve crossing of LiF. Mol Phys 2003, 101:101-2028.
    • (2003) Mol Phys , vol.101 , pp. 101-2028
    • Legeza, O.1    Rö der, J.2    Hess, B.A.3
  • 33
    • 42749104797 scopus 로고    scopus 로고
    • Quantum data compression, quantum information generation, and the density-matrix renormalization-group method
    • 205118.
    • Legeza Ö, Sólyom J. Quantum data compression, quantum information generation, and the density-matrix renormalization-group method. Phys Rev B 2004, 70:205118.
    • (2004) Phys Rev B , vol.70
    • Legeza, O.1    Sólyom, J.2
  • 34
    • 77956334923 scopus 로고    scopus 로고
    • Optimizing Hartree-Fock orbitals by the density-matrix renormalization group
    • 235129.
    • Luo H-G, Qin M-P, Xiang T. Optimizing Hartree-Fock orbitals by the density-matrix renormalization group. Phys Rev B 2010, 81:235129.
    • (2010) Phys Rev B , vol.81
    • Luo, H.-G.1    Qin, M.-P.2    Xiang, T.3
  • 35
    • 38049174832 scopus 로고    scopus 로고
    • Density matrix renormalization group calculations on relative energies of transition metal complexes and clusters
    • 014104.
    • Marti KH, Ondík IM, Moritz G, Reiher M. Density matrix renormalization group calculations on relative energies of transition metal complexes and clusters. J Chem Phys 2008, 128:014104.
    • (2008) J Chem Phys , vol.128
    • Marti, K.H.1    Ondík, I.M.2    Moritz, G.3    Reiher, M.4
  • 37
    • 0041880364 scopus 로고    scopus 로고
    • Quantum chemistry using the density matrix renormalization group. II
    • Mitrushenkov AO, Linguerri R, Palmieri P, Fano G. Quantum chemistry using the density matrix renormalization group. II. J Chem Phys 2003, 119:119-4158.
    • (2003) J Chem Phys , vol.119 , pp. 119-4158
    • Mitrushenkov, A.O.1    Linguerri, R.2    Palmieri, P.3    Fano, G.4
  • 38
    • 23044491538 scopus 로고    scopus 로고
    • Convergence behavior of the density-matrix renormalization group algorithm for optimized orbital orderings
    • 024107.
    • Moritz G, Hess BA, Reiher M. Convergence behavior of the density-matrix renormalization group algorithm for optimized orbital orderings. J Chem Phys 2005, 122:024107.
    • (2005) J Chem Phys , vol.122
    • Moritz, G.1    Hess, B.A.2    Reiher, M.3
  • 39
    • 34547326850 scopus 로고    scopus 로고
    • Decomposition of density matrix renormalization group states into a slater determinant basis
    • 244109.
    • Moritz G, Reiher M. Decomposition of density matrix renormalization group states into a slater determinant basis. J Chem Phys 2007, 126:244109.
    • (2007) J Chem Phys , vol.126
    • Moritz, G.1    Reiher, M.2
  • 40
    • 31144475915 scopus 로고    scopus 로고
    • Construction of environment states in quantum-chemical density-matrix renormalization group calculations
    • 034103.
    • Moritz G, Reiher M. Construction of environment states in quantum-chemical density-matrix renormalization group calculations. J Chem Phys 2006, 124:034103.
    • (2006) J Chem Phys , vol.124
    • Moritz, G.1    Reiher, M.2
  • 41
    • 27644495129 scopus 로고    scopus 로고
    • Relativistic DMRG calculations on the curve crossing of cesium hydride
    • 184105.
    • Moritz G, Wolf A, Reiher M. Relativistic DMRG calculations on the curve crossing of cesium hydride. J Chem Phys 2005, 123:184105.
    • (2005) J Chem Phys , vol.123
    • Moritz, G.1    Wolf, A.2    Reiher, M.3
  • 42
    • 67649095987 scopus 로고    scopus 로고
    • Accelerating convergence in iterative solutions of large active-space self-consistent field calculations
    • Yanai T, Kurashige Y, Ghosh D, Chan GK-L. Accelerating convergence in iterative solutions of large active-space self-consistent field calculations. Int J Quantum Chem 2009, 109:109-2190.
    • (2009) Int J Quantum Chem , vol.109 , pp. 109-2190
    • Yanai, T.1    Kurashige, Y.2    Ghosh, D.3    Chan, G.-L.4
  • 43
    • 74549188076 scopus 로고    scopus 로고
    • Multireference quantum chemistry through a joint density matrix renormalization group and canonical transformation theory
    • 024105.
    • Yanai T, Kurashige Y, Neuscamman E, Chan GK-L. Multireference quantum chemistry through a joint density matrix renormalization group and canonical transformation theory. J Chem Phys 2010, 132:024105.
    • (2010) J Chem Phys , vol.132
    • Yanai, T.1    Kurashige, Y.2    Neuscamman, E.3    Chan, G.-L.4
  • 44
    • 42149181748 scopus 로고    scopus 로고
    • Obtaining the two-body density matrix in the density matrix renormalization group method
    • 144115.
    • Zgid D, Nooijen M. Obtaining the two-body density matrix in the density matrix renormalization group method. J Chem Phys 2008, 128:144115.
    • (2008) J Chem Phys , vol.128
    • Zgid, D.1    Nooijen, M.2
  • 45
    • 42349114827 scopus 로고    scopus 로고
    • The density matrix renormalization group self-consistent field method: orbital optimization with the density matrix renormalization group method in the active space
    • 144116.
    • Zgid D, Nooijen M. The density matrix renormalization group self-consistent field method: orbital optimization with the density matrix renormalization group method in the active space. J Chem Phys 2008, 128:144116.
    • (2008) J Chem Phys , vol.128
    • Zgid, D.1    Nooijen, M.2
  • 46
    • 38049049692 scopus 로고    scopus 로고
    • On the spin and symmetry adaptation of the density matrix renormalization group method
    • 014107.
    • Zgid D, Nooijen M. On the spin and symmetry adaptation of the density matrix renormalization group method. J Chem Phys 2008, 128:014107.
    • (2008) J Chem Phys , vol.128
    • Zgid, D.1    Nooijen, M.2
  • 47
    • 74549174135 scopus 로고    scopus 로고
    • Strongly contracted canonical transformation theory
    • 024106.
    • Neuscamman E, Yanai T, Chan GK-L. Strongly contracted canonical transformation theory. J Chem Phys 2010, 132:024106.
    • (2010) J Chem Phys , vol.132
    • Neuscamman, E.1    Yanai, T.2    Chan, G.-L.3
  • 48
    • 77956432491 scopus 로고    scopus 로고
    • Novel quantum states of electron spins in polycarbenes from ab initio density matrix renormalization group calculations
    • 091101.
    • Mizukami W, Kurashige Y, Yanai T. Novel quantum states of electron spins in polycarbenes from ab initio density matrix renormalization group calculations. J Chem Phys 2010, 133:091101.
    • (2010) J Chem Phys , vol.133
    • Mizukami, W.1    Kurashige, Y.2    Yanai, T.3
  • 49
    • 78651459695 scopus 로고    scopus 로고
    • Quantum-information analysis of electronic states of different molecular structures
    • 012508.
    • Barcza G, Legeza Ö, Marti KH, Reiher M. Quantum-information analysis of electronic states of different molecular structures. Phys Rev A 2011, 83:012508.
    • (2011) Phys Rev A , vol.83
    • Barcza, G.1    Legeza, O.2    Marti, K.H.3    Reiher, M.4
  • 50
    • 79953293578 scopus 로고    scopus 로고
    • New electron correlation theories for transition metal chemistry
    • Marti KH, Reiher M. New electron correlation theories for transition metal chemistry. Phys Chem Chem Phys 2011, 13:13-6759.
    • (2011) Phys Chem Chem Phys , vol.13 , pp. 13-6759
    • Marti, K.H.1    Reiher, M.2
  • 51
    • 0000512245 scopus 로고    scopus 로고
    • Self-consistent tensor product variational approximation for 3D classical models
    • Nishino T, Okunishi K, Hieida Y, Maeshima N, Akutsu Y. Self-consistent tensor product variational approximation for 3D classical models. Nucl Phys B 2000, 575:575-512.
    • (2000) Nucl Phys B , vol.575 , pp. 575-512
    • Nishino, T.1    Okunishi, K.2    Hieida, Y.3    Maeshima, N.4    Akutsu, Y.5
  • 53
    • 0035395008 scopus 로고    scopus 로고
    • Vertical density matrix algorithm: a higher-dimensional numerical renormalization scheme based on the tensor product state ansatz
    • 016705.
    • Maeshima N, Hieida Y, Akutsu Y, Nishino T, Okunishi K. Vertical density matrix algorithm: a higher-dimensional numerical renormalization scheme based on the tensor product state ansatz. Phys Rev E 2001, 64:016705.
    • (2001) Phys Rev E , vol.64
    • Maeshima, N.1    Hieida, Y.2    Akutsu, Y.3    Nishino, T.4    Okunishi, K.5
  • 55
    • 84867372540 scopus 로고    scopus 로고
    • Renormalization algorithms for quantum-many body systems in two and higher dimensions. Arxiv preprint cond-mat/0407066
    • Verstraete F, Cirac JI. Renormalization algorithms for quantum-many body systems in two and higher dimensions. Arxiv preprint cond-mat/0407066, 2004.
    • (2004)
    • Verstraete, F.1    Cirac, J.I.2
  • 56
    • 33947217528 scopus 로고    scopus 로고
    • Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states
    • 033605.
    • Murg V, Verstraete F, Cirac JI. Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states. Phys Rev A 2007, 75:033605.
    • (2007) Phys Rev A , vol.75
    • Murg, V.1    Verstraete, F.2    Cirac, J.I.3
  • 57
    • 33747637170 scopus 로고    scopus 로고
    • Classical simulation of quantum many-body systems with a tree tensor network
    • 22320.
    • Shi Y, Duan L, Vidal G. Classical simulation of quantum many-body systems with a tree tensor network. Phys Rev A 2006, 74:22320.
    • (2006) Phys Rev A , vol.74
    • Shi, Y.1    Duan, L.2    Vidal, G.3
  • 58
    • 74949140295 scopus 로고    scopus 로고
    • Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law
    • 235127.
    • Tagliacozzo L, Evenbly G, Vidal G. Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law. Phys Rev B 2009, 80:235127.
    • (2009) Phys Rev B , vol.80
    • Tagliacozzo, L.1    Evenbly, G.2    Vidal, G.3
  • 59
    • 52149091646 scopus 로고    scopus 로고
    • Class of quantum many-body states that can be efficiently simulated
    • 110501.
    • Vidal G. Class of quantum many-body states that can be efficiently simulated. Phys Rev Lett 2008, 101:110501.
    • (2008) Phys Rev Lett , vol.101
    • Vidal, G.1
  • 60
    • 78649754542 scopus 로고    scopus 로고
    • Simulating strongly correlated quantum systems with tree tensor networks
    • 205105.
    • Murg V, Verstraete F, Ö. Legeza, Noack RM. Simulating strongly correlated quantum systems with tree tensor networks. Phys Rev B 2010, 82:205105.
    • (2010) Phys Rev B , vol.82
    • Murg, V.1    Verstraete, F.2    Legeza, Ö.3    Noack, R.M.4
  • 61
    • 36549074539 scopus 로고    scopus 로고
    • Entanglement renormalization
    • 220405.
    • Vidal G. Entanglement renormalization. Phys Rev Lett 2007, 99:220405.
    • (2007) Phys Rev Lett , vol.99
    • Vidal, G.1
  • 62
    • 65549157856 scopus 로고    scopus 로고
    • Entanglement renormalization in two spatial dimensions
    • 180406.
    • Evenbly G, Vidal G. Entanglement renormalization in two spatial dimensions. Phys Rev Lett 2009, 102:180406.
    • (2009) Phys Rev Lett , vol.102
    • Evenbly, G.1    Vidal, G.2
  • 63
    • 72649091684 scopus 로고    scopus 로고
    • Fermionic multiscale entanglement renormalization ansatz
    • 165129.
    • Corboz P, Vidal G. Fermionic multiscale entanglement renormalization ansatz. Phys Rev B 2009, 80:165129.
    • (2009) Phys Rev B , vol.80
    • Corboz, P.1    Vidal, G.2
  • 64
    • 84868229429 scopus 로고    scopus 로고
    • Entanglement renormalization: an introduction
    • Arxiv preprint arXiv:0912.1651
    • Vidal G. Entanglement renormalization: an introduction. Arxiv preprint arXiv:0912.1651, 2009.
    • (2009)
    • Vidal, G.1
  • 65
    • 77958518534 scopus 로고    scopus 로고
    • Complete-graph tensor network states: a new fermionic wave function ansatz for molecules
    • 103008.
    • Marti KH, Bauer B, Reiher M, Troyer M, Verstraete F. Complete-graph tensor network states: a new fermionic wave function ansatz for molecules. New J Phys 2010, 12:103008.
    • (2010) New J Phys , vol.12
    • Marti, K.H.1    Bauer, B.2    Reiher, M.3    Troyer, M.4    Verstraete, F.5
  • 66
    • 0033235339 scopus 로고    scopus 로고
    • Nobel lecture: Electronic structure of matter wave functions and density functionals
    • Kohn W. Nobel lecture: Electronic structure of matter wave functions and density functionals. Rev Mod Phys 1999, 71:71-1266.
    • (1999) Rev Mod Phys , vol.71 , pp. 71-1266
    • Kohn, W.1
  • 67
    • 84914060472 scopus 로고
    • Effective convergence to complete orbital bases and to the atomic Hartree-Fock limit through systematic sequences of gaussian primitives
    • Schmidt MW, Ruedenberg KE. Effective convergence to complete orbital bases and to the atomic Hartree-Fock limit through systematic sequences of gaussian primitives. J Chem Phys 1979, 71:71-3962.
    • (1979) J Chem Phys , vol.71 , pp. 71-3962
    • Schmidt, M.W.1    Ruedenberg, K.E.2
  • 68
    • 84987143342 scopus 로고
    • Theory of the expansion of wavefunctions in a gaussian basis.
    • Kutzelnigg W. Theory of the expansion of wavefunctions in a gaussian basis. Int J Quantum Chem. 1994, 51:51-463.
    • (1994) Int J Quantum Chem. , vol.51 , pp. 51-463
    • Kutzelnigg, W.1
  • 69
    • 0037145609 scopus 로고    scopus 로고
    • Plane waves and radial polynomials: a new mixed basis
    • Pahl FA, Handy NC. Plane waves and radial polynomials: a new mixed basis. Mol Phys 2002, 100:100-3224.
    • (2002) Mol Phys , vol.100 , pp. 100-3224
    • Pahl, F.A.1    Handy, N.C.2
  • 70
    • 11044224123 scopus 로고    scopus 로고
    • Multiresolution quantum chemistry: basic theory and initial applications
    • Harrison RJ, Fann GI, Yanai T, Gan Z, Beylkin G. Multiresolution quantum chemistry: basic theory and initial applications. J Chem Phys 2004, 121:121-11598.
    • (2004) J Chem Phys , vol.121 , pp. 121-11598
    • Harrison, R.J.1    Fann, G.I.2    Yanai, T.3    Gan, Z.4    Beylkin, G.5
  • 73
    • 33847389465 scopus 로고    scopus 로고
    • Coupled-cluster theory in quantum chemistry
    • Bartlett RJ, Musial M. Coupled-cluster theory in quantum chemistry. Rev Mod Phys 2007, 79:79-352.
    • (2007) Rev Mod Phys , vol.79 , pp. 79-352
    • Bartlett, R.J.1    Musial, M.2
  • 74
    • 0001626413 scopus 로고
    • Many-body perturbation theory and coupled cluster theory for electron correlation in molecules.
    • Bartlett RJ. Many-body perturbation theory and coupled cluster theory for electron correlation in molecules. Annu Rev Phys Chem 1981, 32:32-401.
    • (1981) Annu Rev Phys Chem , vol.32 , pp. 32-401
    • Bartlett, R.J.1
  • 75
    • 36149021666 scopus 로고
    • Many-body problem with strong forces.
    • Jastrow R. Many-body problem with strong forces. Phys. Rev. 1955, 98:98-1484.
    • (1955) Phys. Rev. , vol.98 , pp. 98-1484
    • Jastrow, R.1
  • 76
    • 0001073472 scopus 로고
    • Optimized trial wave functions for quantum Monte Carlo calculations
    • Umrigar CJ, Wilson KG, Wilkins JW. Optimized trial wave functions for quantum Monte Carlo calculations. Phys Rev Lett 1988, 60:60-1722.
    • (1988) Phys Rev Lett , vol.60 , pp. 60-1722
    • Umrigar, C.J.1    Wilson, K.G.2    Wilkins, J.W.3
  • 77
    • 0002922589 scopus 로고
    • The determination of energies and wavefunctions with full electronic correlation
    • Boys SF, Handy NC. The determination of energies and wavefunctions with full electronic correlation. Proc R Soc London A: Math Phys Sci 1969, 310:310-61.
    • (1969) Proc R Soc London A: Math Phys Sci , vol.310 , pp. 310-361
    • Boys, S.F.1    Handy, N.C.2
  • 79
    • 36849130499 scopus 로고
    • Structure of fermion density matrices. II. Antisymmetrized geminal powers
    • Coleman AJ. Structure of fermion density matrices. II. Antisymmetrized geminal powers. J Math Phys 1965, 6:6-1431.
    • (1965) J Math Phys , vol.6 , pp. 6-1431
    • Coleman, A.J.1
  • 80
    • 84867386699 scopus 로고
    • Calculation of optimal generalized antisymmetrized geminal-power functions and their associated excitation spectrum
    • Weiner B, Goscinski O. Calculation of optimal generalized antisymmetrized geminal-power functions and their associated excitation spectrum. Phys Rev A 1980, 22:22-2391.
    • (1980) Phys Rev A , vol.22 , pp. 22-2391
    • Weiner, B.1    Goscinski, O.2
  • 81
    • 33645682531 scopus 로고    scopus 로고
    • Pfaffian pairing wave functions in electronic-structure quantum monte carlo simulations
    • 130201.
    • Bajdich M, Mitas L, Drobn G, Wagner LK, Schmidt KE. Pfaffian pairing wave functions in electronic-structure quantum monte carlo simulations. Phys Rev Lett 2006, 96:130201.
    • (2006) Phys Rev Lett , vol.96
    • Bajdich, M.1    Mitas, L.2    Drobn, G.3    Wagner, L.K.4    Schmidt, K.E.5
  • 82
    • 0001184207 scopus 로고
    • Valence universal exponential ansatz and the cluster structure of multireference configuration interaction wave function
    • Jeziorski B, Paldus J. Valence universal exponential ansatz and the cluster structure of multireference configuration interaction wave function. J Chem Phys 1989, 90:90-2731.
    • (1989) J Chem Phys , vol.90 , pp. 90-2731
    • Jeziorski, B.1    Paldus, J.2
  • 83
  • 84
    • 79953168784 scopus 로고    scopus 로고
    • An orbital-invariant internally contracted multireference coupled cluster approach
    • 114102.
    • Evangelista FA, Gauss J. An orbital-invariant internally contracted multireference coupled cluster approach. J Chem Phys 2011, 134:114102.
    • (2011) J Chem Phys , vol.134
    • Evangelista, F.A.1    Gauss, J.2
  • 85
    • 26444462588 scopus 로고    scopus 로고
    • M. An exponential multireference wave-function ansatz
    • Hanrath., 084102.
    • HanrathM. An exponential multireference wave-function ansatz. J Chem Phys 2005, 123:084102.
    • (2005) J Chem Phys , vol.123
  • 86
    • 41549112446 scopus 로고    scopus 로고
    • Triple excitations in state-specific multireference coupled cluster theory: Application of mk-mrcc sdt and mk-mrccsdt-n methods to model systems
    • 124104.
    • Evangelista FA, Simmonett AC, Allen WD, Schaefer III HF, Gauss J. Triple excitations in state-specific multireference coupled cluster theory: Application of mk-mrcc sdt and mk-mrccsdt-n methods to model systems. J Chem Phys 2008, 128:124104.
    • (2008) J Chem Phys , vol.128
    • Evangelista, F.A.1    Simmonett, A.C.2    Allen, W.D.3    Schaefer III, H.F.4    Gauss, J.5
  • 87
    • 84865460059 scopus 로고    scopus 로고
    • Quantum monte carlo methods.
    • Luchow A. Quantum monte carlo methods. Comput Mol Sci 2011, 1:1-402.
    • (2011) Comput Mol Sci , vol.1 , pp. 1-402
    • Luchow, A.1
  • 88
    • 33947085285 scopus 로고
    • Generalized valence bond description of bonding in low-lying states of molecules
    • Goddard
    • GoddardIII WA, Dunning Jr TH, Hunt WJ, Hay PJ. Generalized valence bond description of bonding in low-lying states of molecules. Acc Chem Res 1973, 6:6-376.
    • (1973) Acc Chem Res , vol.6 , pp. 6-376
    • Goddard III, W.A.1    Dunning Jr., T.H.2    Hunt, W.J.3    Hay, P.J.4
  • 89
    • 0035503988 scopus 로고    scopus 로고
    • Connections between coupled cluster and generalized valence bond theories
    • Van Voorhis T, Head-Gordon M. Connections between coupled cluster and generalized valence bond theories. J Chem Phys 2001, 115:115-7821.
    • (2001) J Chem Phys , vol.115 , pp. 115-7821
    • Van Voorhis, T.1    Head-Gordon, M.2
  • 90
    • 0001734964 scopus 로고
    • A method for describing resonance between generalized valence bond wavefunctions
    • Voter AF, Goddard III WA. A method for describing resonance between generalized valence bond wavefunctions. Chem Phys 1981, 57:57-259.
    • (1981) Chem Phys , vol.57 , pp. 57-259
    • Voter, A.F.1    Goddard III, W.A.2
  • 91
    • 4243122786 scopus 로고
    • Applications of spin-coupled valence bond theory
    • Cooper DL, Gerratt J, Raimondi M. Applications of spin-coupled valence bond theory. Chem Rev 1991, 91:91-964.
    • (1991) Chem Rev , vol.91 , pp. 91-964
    • Cooper, D.L.1    Gerratt, J.2    Raimondi, M.3
  • 92
    • 33846580979 scopus 로고    scopus 로고
    • A survey of recent developments in ab initio valence bond theory
    • Hiberty PC, Shaik S. A survey of recent developments in ab initio valence bond theory. J Comput Chem 2007, 28:28-151.
    • (2007) J Comput Chem , vol.28 , pp. 28-151
    • Hiberty, P.C.1    Shaik, S.2
  • 94
    • 77649149203 scopus 로고    scopus 로고
    • Colloquium: area laws for the entanglement entropy
    • Eisert J, Cramer M, Plenio MB. Colloquium: area laws for the entanglement entropy. Rev Mod Phys 2010, 82:82-306.
    • (2010) Rev Mod Phys , vol.82 , pp. 82-306
    • Eisert, J.1    Cramer, M.2    Plenio, M.B.3
  • 95
    • 41549155846 scopus 로고    scopus 로고
    • An area law for one-dimensional quantum systems
    • 08024.
    • Hastings MB. An area law for one-dimensional quantum systems. J Stat Mech 2007, 2007:08024.
    • (2007) J Stat Mech , vol.2007
    • Hastings, M.B.1
  • 96
    • 34447630838 scopus 로고    scopus 로고
    • MB. Entropy and entanglement in quantum ground states
    • Hastings., 035114.
    • HastingsMB. Entropy and entanglement in quantum ground states. Phys Rev B 2007, 76:035114.
    • (2007) Phys Rev B , vol.76
  • 97
    • 84857273542 scopus 로고    scopus 로고
    • Studying two dimensional systems with the density matrix renormalization group
    • Stoudenmire EM, White SR. Studying two dimensional systems with the density matrix renormalization group. Ann Rev Cond Mat Phys 2011, 3:3-128.
    • (2011) Ann Rev Cond Mat Phys , vol.3 , pp. 3-128
    • Stoudenmire, E.M.1    White, S.R.2
  • 98
    • 0012342946 scopus 로고
    • Shadow wave function for many-boson systems
    • Reatto L, Masserini GL. Shadow wave function for many-boson systems. Phys Rev B 1988, 38:38-4522.
    • (1988) Phys Rev B , vol.38 , pp. 38-4522
    • Reatto, L.1    Masserini, G.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.