-
1
-
-
41549162006
-
Unifying variational methods for simulating quantum many-body systems
-
C. Dawson, J. Eisert, and T.J. Osborne Unifying variational methods for simulating quantum many-body systems Phys. Rev. Lett. 100 2008 130501
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 130501
-
-
Dawson, C.1
Eisert, J.2
Osborne, T.J.3
-
2
-
-
84870640957
-
-
ALPS Consortium, The ALPS project (Algorithms and Libraries for Physics Simulations) is an open source effort aiming at providing high-end simulation codes for strongly correlated quantum mechanical systems as well as C++ libraries for simplifying the development of such code
-
ALPS Consortium, The ALPS project (Algorithms and Libraries for Physics Simulations) is an open source effort aiming at providing high-end simulation codes for strongly correlated quantum mechanical systems as well as C++ libraries for simplifying the development of such code. Available from: < http://alps.compphys.org/mediawiki/index.php/Main-Page >.
-
-
-
-
3
-
-
33845384494
-
Time evolution of matrix product states
-
J.J. García-Ripoll Time evolution of matrix product states New J. Phys. 8 2006 305
-
(2006)
New J. Phys.
, vol.8
, pp. 305
-
-
García-Ripoll, J.J.1
-
4
-
-
77949502601
-
Matrix product operator representations
-
Available from: < >
-
B. Pirvu, V. Murg, J.I. Cirac, and F. Verstraete Matrix product operator representations New J. Phys. 12 2010 025012 Available from: < http://dx.doi.org/10.1088/1367-2630/12/2/025012 >
-
(2010)
New J. Phys.
, vol.12
, pp. 025012
-
-
Pirvu, B.1
Murg, V.2
Cirac, J.I.3
Verstraete, F.4
-
5
-
-
46849106741
-
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
-
F. Verstraete, I. Cirac, and V. Murg Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems Adv. Phys. 57 2008 143 224
-
(2008)
Adv. Phys.
, vol.57
, pp. 143-224
-
-
Verstraete, F.1
Cirac, I.2
Murg, V.3
-
7
-
-
33744583732
-
The one-dimensional Ising model with a transverse field
-
P. Pfeuty The one-dimensional Ising model with a transverse field Ann. Phys. 57 1970 79 90
-
(1970)
Ann. Phys.
, vol.57
, pp. 79-90
-
-
Pfeuty, P.1
-
8
-
-
0008417829
-
Two soluble models of an antiferromagnetic chain
-
E. Lieb, T. Schultz, and D. Mattis Two soluble models of an antiferromagnetic chain Ann. Phys. 16 1961 407 466
-
(1961)
Ann. Phys.
, vol.16
, pp. 407-466
-
-
Lieb, E.1
Schultz, T.2
Mattis, D.3
-
9
-
-
26844535199
-
Rigorous results on valence-bond ground states in antiferromagnets
-
I. Affleck, T. Kennedy, E.H. Lieb, and H. Tasaki Rigorous results on valence-bond ground states in antiferromagnets Phys. Rev. Lett. 59 1987 799 802
-
(1987)
Phys. Rev. Lett.
, vol.59
, pp. 799-802
-
-
Affleck, I.1
Kennedy, T.2
Lieb, E.H.3
Tasaki, H.4
-
11
-
-
0033632284
-
Any circulant-like preconditioner for multilevel matrices is not superlinear
-
S.S. Capizzano, and E. Tyrtyshnikov Any circulant-like preconditioner for multilevel matrices is not superlinear SIAM J. Matrix Anal. Appl. 21 2000 431 439
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 431-439
-
-
Capizzano, S.S.1
Tyrtyshnikov, E.2
-
12
-
-
0016987067
-
Properties of the eigenvectors of persymmetric matrices with applications to communication theory
-
A. Cantoni, and P. Butler Properties of the eigenvectors of persymmetric matrices with applications to communication theory IEEE Trans. Commun. 24 1976 804 809
-
(1976)
IEEE Trans. Commun.
, vol.24
, pp. 804-809
-
-
Cantoni, A.1
Butler, P.2
-
13
-
-
18144421896
-
Entropy, entanglement, and area: Analytical results for harmonic lattice systems
-
M. Plenio, J. Eisert, J. Dreissig, and M. Cramer Entropy, entanglement, and area: analytical results for harmonic lattice systems Phys. Rev. Lett. 94 2005 060503
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 060503
-
-
Plenio, M.1
Eisert, J.2
Dreissig, J.3
Cramer, M.4
-
14
-
-
33144487612
-
Entanglement-area law for general bosonic harmonic lattice systems
-
M. Cramer, J. Eisert, M. Plenio, and J. Dreissig Entanglement-area law for general bosonic harmonic lattice systems Phys. Rev. A 73 2006 012309
-
(2006)
Phys. Rev. A
, vol.73
, pp. 012309
-
-
Cramer, M.1
Eisert, J.2
Plenio, M.3
Dreissig, J.4
-
15
-
-
40849096540
-
Area laws in quantum systems: Mutual information and correlations
-
M. Wolf, F. Verstraete, M.B. Hastings, and I. Cirac Area laws in quantum systems: mutual information and correlations Phys. Rev. Lett. 100 2008 070502
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 070502
-
-
Wolf, M.1
Verstraete, F.2
Hastings, M.B.3
Cirac, I.4
-
17
-
-
41549155846
-
An area law for one-dimensional quantum systems
-
M.B. Hastings An area law for one-dimensional quantum systems J. Stat. Mech. Theory Exp. 2007 2007 P08024
-
(2007)
J. Stat. Mech. Theory Exp.
, vol.2007
, pp. 08024
-
-
Hastings, M.B.1
-
18
-
-
34447630838
-
Entropy and entanglement in quantum ground states
-
M.B. Hastings Entropy and entanglement in quantum ground states Phys. Rev. B 76 2007 035144
-
(2007)
Phys. Rev. B
, vol.76
, pp. 035144
-
-
Hastings, M.B.1
-
19
-
-
33645062947
-
Matrix product states represent ground states faithfully
-
F. Verstraete, and J.I. Cirac Matrix product states represent ground states faithfully Phys. Rev. B 73 2006 094423
-
(2006)
Phys. Rev. B
, vol.73
, pp. 094423
-
-
Verstraete, F.1
Cirac, J.I.2
-
20
-
-
77954842985
-
Matrix product state and mean field solutions for one-dimensional systems can be found efficiently
-
N. Schuch, and I. Cirac Matrix product state and mean field solutions for one-dimensional systems can be found efficiently Phys. Rev. A 82 2010 012314
-
(2010)
Phys. Rev. A
, vol.82
, pp. 012314
-
-
Schuch, N.1
Cirac, I.2
-
21
-
-
1842501156
-
Abundance of translation invariant pure states on quantum spin chains
-
M. Fannes, B. Nachtergaele, and R. Werner Abundance of translation invariant pure states on quantum spin chains Lett. Math. Phys. 25 1992 249 258
-
(1992)
Lett. Math. Phys.
, vol.25
, pp. 249-258
-
-
Fannes, M.1
Nachtergaele, B.2
Werner, R.3
-
24
-
-
23844520141
-
The density-matrix renormalization group
-
DOI 10.1103/RevModPhys.77.259
-
U. Schollwöck The Density-Matrix Renormalization Group Rev. Mod. Phys. 77 2005 259 315 (Pubitemid 41490660)
-
(2005)
Reviews of Modern Physics
, vol.77
, Issue.1
, pp. 259-315
-
-
Schollwock, U.1
-
25
-
-
42749103810
-
Valence-bond states for quantum computation
-
F. Verstraete, and J.I. Cirac Valence-bond states for quantum computation Phys. Rev. A 70 2004 060302
-
(2004)
Phys. Rev. A
, vol.70
, pp. 060302
-
-
Verstraete, F.1
Cirac, J.I.2
-
27
-
-
33748540374
-
Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension
-
S. Anders, M.B. Plenio, W. Dür, F. Verstraete, and H.J. Briegel Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension Phys. Rev. Lett. 97 2006 107206
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 107206
-
-
Anders, S.1
Plenio, M.B.2
Dür, W.3
Verstraete, F.4
Briegel, H.J.5
-
28
-
-
36549074539
-
Entanglement renormalization
-
G. Vidal Entanglement renormalization Phys. Rev. Lett. 99 2007 220405
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 220405
-
-
Vidal, G.1
-
29
-
-
38849113308
-
Strings, projected entangled pair states, and variational monte carlo methods
-
N. Schuch, M. Wolf, F. Verstraete, and I. Cirac Strings, projected entangled pair states, and variational monte carlo methods Phys. Rev. Lett. 100 2008 040501
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 040501
-
-
Schuch, N.1
Wolf, M.2
Verstraete, F.3
Cirac, I.4
-
30
-
-
62149125235
-
Renormalisation algorithm with graph enhancement
-
R. Hübner, C. Kruszynska, L. Hartmann, W. Dür, F. Verstraete, J. Eisert, and M. Plenio Renormalisation algorithm with graph enhancement Phys. Rev. A 79 2009 022317
-
(2009)
Phys. Rev. A
, vol.79
, pp. 022317
-
-
Hübner, R.1
Kruszynska, C.2
Hartmann, L.3
Dür, W.4
Verstraete, F.5
Eisert, J.6
Plenio, M.7
-
32
-
-
34250499792
-
Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition
-
J. Carroll, and J.J. Chang Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition Psychometrika 35 1970 283 319
-
(1970)
Psychometrika
, vol.35
, pp. 283-319
-
-
Carroll, J.1
Chang, J.J.2
-
34
-
-
0000818621
-
Large-n limit of SU (n) quantum "spin" chains
-
I. Affleck Large-n limit of SU (n) quantum "spin" chains Phys. Rev. Lett. 54 1985 966 969
-
(1985)
Phys. Rev. Lett.
, vol.54
, pp. 966-969
-
-
Affleck, I.1
-
35
-
-
0242425255
-
Efficient classical simulation of slightly entangled quantum computations
-
G. Vidal Efficient classical simulation of slightly entangled quantum computations Phys. Rev. Lett. 91 2003 147902
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 147902
-
-
Vidal, G.1
-
37
-
-
35949034896
-
The renormalization group: Critical phenomena and the Kondo problem
-
K.G. Wilson The renormalization group: critical phenomena and the Kondo problem Rev. Mod. Phys. 47 1975 773 840
-
(1975)
Rev. Mod. Phys.
, vol.47
, pp. 773-840
-
-
Wilson, K.G.1
-
38
-
-
3442895828
-
Density matrix formulation for quantum renormalization groups
-
S.R. White Density matrix formulation for quantum renormalization groups Phys. Rev. Lett. 69 1992 2863 2866
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 2863-2866
-
-
White, S.R.1
-
39
-
-
46349090595
-
Computational difficulty of finding matrix product ground states
-
N. Schuch, I. Cirac, and F. Verstraete Computational difficulty of finding matrix product ground states Phys. Rev. Lett. 100 2008 250501
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 250501
-
-
Schuch, N.1
Cirac, I.2
Verstraete, F.3
-
41
-
-
78650755970
-
The density-matrix renormalization group in the age of matrix product states
-
U. Schollwöck The density-matrix renormalization group in the age of matrix product states Ann. Phys. 326 2011 96 192
-
(2011)
Ann. Phys.
, vol.326
, pp. 96-192
-
-
Schollwöck, U.1
-
42
-
-
84870633293
-
-
Master's Thesis, Technische Universität München and Max-Planck-Institut für Quantenoptik
-
M.G. Eckholt-Perotti, Matrix product formalism, Master's Thesis, Technische Universität München and Max-Planck-Institut für Quantenoptik, 2005.
-
(2005)
Matrix Product Formalism
-
-
Eckholt-Perotti, M.G.1
-
44
-
-
80053896203
-
Tensor-train decomposition
-
I.V. Oseledets Tensor-train decomposition SIAM J. Sci. Comput. 33 2011 2295 2317
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 2295-2317
-
-
Oseledets, I.V.1
-
45
-
-
37649026836
-
DMRG and periodic boundary conditions: A quantum information perspective
-
F. Verstraete, D. Porras, and I. Cirac DMRG and periodic boundary conditions: a quantum information perspective Phys. Rev. Lett. 93 2004 227205
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 227205
-
-
Verstraete, F.1
Porras, D.2
Cirac, I.3
-
46
-
-
19744374448
-
Matrix product density operators: Simulation of finite-temperature and dissipative systems
-
F. Verstraete, J.J. García-Ripoll, and J.I. Cirac Matrix product density operators: simulation of finite-temperature and dissipative systems Phys. Rev. Lett. 93 2004 207204
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 207204
-
-
Verstraete, F.1
García-Ripoll, J.J.2
Cirac, J.I.3
-
48
-
-
33744788653
-
Criticality, the area law, and the computational power of projected entangled pair states
-
F. Verstraete, M.M. Wolf, D. Pérez-Garía, and I. Cirac Criticality, the area law, and the computational power of projected entangled pair states Phys. Rev. Lett. 96 2006 220601
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 220601
-
-
Verstraete, F.1
Wolf, M.M.2
Pérez-Garía, D.3
Cirac, I.4
-
50
-
-
37249067652
-
Topology in quantum states. PEPS formalism and beyond
-
M. Aguado, J.I. Cirac, and G. Vidal Topology in quantum states. PEPS formalism and beyond J. Phys. Conf. Ser. 87 2007 012003
-
(2007)
J. Phys. Conf. Ser.
, vol.87
, pp. 012003
-
-
Aguado, M.1
Cirac, J.I.2
Vidal, G.3
-
51
-
-
75849156359
-
Renormalization and tensor product states in spin chains and lattices
-
F. Verstraete, and J.I. Cirac Renormalization and tensor product states in spin chains and lattices Phys. Rev. A 42 2010 504004
-
(2010)
Phys. Rev. A
, vol.42
, pp. 504004
-
-
Verstraete, F.1
Cirac, J.I.2
-
52
-
-
68649096448
-
Tensor decompositions and applications
-
T.G. Kolda, and B.W. Bader Tensor decompositions and applications SIAM Rev. 51 2009 455 500
-
(2009)
SIAM Rev.
, vol.51
, pp. 455-500
-
-
Kolda, T.G.1
Bader, B.W.2
-
55
-
-
70449528138
-
Breaking the curse of dimensionality, or how to use SVD in many dimensions
-
I.V. Oseledets, and E.E. Tyrtyshnikov Breaking the curse of dimensionality, or how to use SVD in many dimensions SIAM J. Sci. Comput. 31 2009 3744 3759
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 3744-3759
-
-
Oseledets, I.V.1
Tyrtyshnikov, E.E.2
-
56
-
-
69549133853
-
Recursive decomposition of multidimensional tensors
-
I.V. Oseledets, and E.E. Tyrtyshnikov Recursive decomposition of multidimensional tensors Doklady Math. 80 2009 460 462
-
(2009)
Doklady Math.
, vol.80
, pp. 460-462
-
-
Oseledets, I.V.1
Tyrtyshnikov, E.E.2
-
57
-
-
79960994573
-
O (dlogN) -quantics approximation of N - D tensors in high-dimensional numerical modeling
-
B. Khoromskij O (dlogN) -quantics approximation of N - d tensors in high-dimensional numerical modeling Constr. Approx. 34 2011 1 24
-
(2011)
Constr. Approx.
, vol.34
, pp. 1-24
-
-
Khoromskij, B.1
-
58
-
-
33645062947
-
Matrix product states represent ground states faithfully
-
F. Verstraete, and J.I. Cirac Matrix product states represent ground states faithfully Phys. Rev. B 73 2006 094423
-
(2006)
Phys. Rev. B
, vol.73
, pp. 094423
-
-
Verstraete, F.1
Cirac, J.I.2
-
59
-
-
66849099206
-
Enhanced line search: A novel method to accelerate parafac
-
M. Rajih, P. Comon, and R.A. Harshman Enhanced line search: a novel method to accelerate parafac SIAM J. Matrix Anal. Appl. 30 2008 1128 1147
-
(2008)
SIAM J. Matrix Anal. Appl.
, vol.30
, pp. 1128-1147
-
-
Rajih, M.1
Comon, P.2
Harshman, R.A.3
|