메뉴 건너뛰기




Volumn 843, Issue , 2012, Pages 245-294

Many-body physics from a quantum information perspective

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84857809063     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-10449-7_6     Document Type: Article
Times cited : (32)

References (139)
  • 2
    • 0037825011 scopus 로고    scopus 로고
    • Entanglement, quantum phase transitions, and density matrix renormalization
    • Osborne, T.J., Nielsen, M.A.: Entanglement, quantum phase transitions, and density matrix renormalization. Quantum Inf. Proc. 1, 45 (2002)
    • (2002) Quantum Inf. Proc. , vol.1 , pp. 45
    • Osborne, T.J.1    Nielsen, M.A.2
  • 3
    • 0036757880 scopus 로고    scopus 로고
    • Entanglement in a simple quantum phase transition
    • Osborne, T.J., Nielsen, M.A.: Entanglement in a simple quantum phase transition. Phys. Rev. A 66, 032110 (2002)
    • (2002) Phys. Rev. A , vol.66 , pp. 032110
    • Osborne, T.J.1    Nielsen, M.A.2
  • 4
    • 0037061511 scopus 로고    scopus 로고
    • Scaling of entanglement close to a quantum phase transition
    • Osterloh, A., Amico, L., Falci, G., Fazio, R.: Scaling of entanglement close to a quantum phase transition. Nature 416, 608 (2002)
    • (2002) Nature , vol.416 , pp. 608
    • Osterloh, A.1    Amico, L.2    Falci, G.3    Fazio, R.4
  • 5
    • 0343152990 scopus 로고
    • Quantum cryptography based on Bell's theorem
    • Ekert, A.K.: Quantum cryptography based on Bell's theorem. Phys. Rev. Lett. 67, 661 (1991)
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 661
    • Ekert, A.K.1
  • 6
    • 4244023347 scopus 로고
    • Communication via one-and two-particle operators on Einstein-Podolsky- Rosen states
    • Bennett, C.H.,Wiesner, S.J.: Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2881
    • Bennett, C.H.1    Wiesner, S.J.2
  • 7
    • 4243059985 scopus 로고
    • Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
    • Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1992)
    • (1992) Phys. Rev. Lett. , vol.70 , pp. 1895
    • Bennett, C.H.1    Brassard, G.2    Crépeau, C.3    Jozsa, R.4    Peres, A.5    Wootters, W.K.6
  • 9
    • 0039624459 scopus 로고
    • Quantum stateswith Einstein-Podolsky-Rosen correlations admitting a hiddenvariable model
    • Werner, R.F.: Quantum stateswith Einstein-Podolsky-Rosen correlations admitting a hiddenvariable model. Phys. Rev. A 40, 4277 (1989)
    • (1989) Phys. Rev. A , vol.40 , pp. 4277
    • Werner, R.F.1
  • 10
    • 0042542909 scopus 로고    scopus 로고
    • Separability criterion and inseparable mixed states with positive partial transposition
    • Horodecki, P.: Separability criterion and inseparable mixed states with positive partial transposition. Phys. Lett. A 232, 333 (1997)
    • (1997) Phys. Lett. A , vol.232 , pp. 333
    • Horodecki, P.1
  • 11
    • 0001003131 scopus 로고    scopus 로고
    • Local description of quantum inseparability
    • Sanpera, A., Terrach, R., Vidal, G.: Local description of quantum inseparability. Phys. Rev. A 58, 826 (1998)
    • (1998) Phys. Rev. A , vol.58 , pp. 826
    • Sanpera, A.1    Terrach, R.2    Vidal, G.3
  • 13
    • 4043144235 scopus 로고
    • "Event-ready-detectors" Bell experiment via entanglement swapping
    • Z ukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: "Event-ready-detectors" Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287 (1993)
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 4287
    • Zukowski, M.1    Zeilinger, A.2    Horne, M.A.3    Ekert, A.K.4
  • 14
    • 64349108096 scopus 로고    scopus 로고
    • Entanglement detection
    • Gühne, O., Tóth, G.: Entanglement detection. Phys. Rep. 474, 1 (2009)
    • (2009) Phys. Rep. , vol.474 , pp. 1
    • Gühne, O.1    Tóth, G.2
  • 16
    • 19844376675 scopus 로고    scopus 로고
    • A two-way algorithm for the entanglement problem
    • Hulpke, F., Bruß, D.: A two-way algorithm for the entanglement problem. J. Phys. A: Math. Gen. 38, 5573 (2005)
    • (2005) J. Phys. A: Math. Gen. , vol.38 , pp. 5573
    • Hulpke, F.1    Bruß, D.2
  • 17
    • 4544353907 scopus 로고    scopus 로고
    • Classical complexity and quantum entanglement
    • Gurvits, L.: Classical complexity and quantum entanglement. STOC 69, 448 (2003)
    • (2003) STOC , vol.69 , pp. 448
    • Gurvits, L.1
  • 19
    • 0037574296 scopus 로고    scopus 로고
    • Separability criterion for density matrices
    • Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett 77, 1413 (1996)
    • (1996) Phys. Rev. Lett , vol.77 , pp. 1413
    • Peres, A.1
  • 20
    • 0008001217 scopus 로고    scopus 로고
    • Mixed-state entanglement and distillation: Is there a "bound" entanglement in nature?
    • Horodecki, M., Horodecki, P., Horodecki, R.: Mixed-state entanglement and distillation: is there a "bound" entanglement in nature?. Phys. Rev. Lett. 80, 5239 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5239
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 23
    • 0037788957 scopus 로고    scopus 로고
    • Distillability and partial transposition in bipartite systems
    • Dür,W., Cirac, J.I., Lewenstein, M., Bruß, D.: Distillability and partial transposition in bipartite systems. Phys. Rev. A 61, 062313 (2000)
    • (2000) Phys. Rev. A , vol.61 , pp. 062313
    • Dür, W.1    Cirac, J.I.2    Lewenstein, M.3    Bruß, D.4
  • 24
    • 0042376719 scopus 로고    scopus 로고
    • Separability of mixed states: Necessary and sufficient conditions
    • Horodecki, M., Horodecki, P., Horodecki, R.: Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A 223, 1 (1996)
    • (1996) Phys. Lett. A , vol.223 , pp. 1
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 26
    • 0000592520 scopus 로고    scopus 로고
    • Bell inequalities and the separability criterion
    • Terhal, B.M.: Bell inequalities and the separability criterion. Phys. Lett. A 271, 319 (2000)
    • (2000) Phys. Lett. A , vol.271 , pp. 319
    • Terhal, B.M.1
  • 27
    • 36749106315 scopus 로고
    • Completely positive dynamical semigroups of N-level systems
    • Gorini, V., Kossakowski, A., Sudarshan, E.C.G.: Completely positive dynamical semigroups of N-level systems. J. Math. Phys. 17, 821 (1976)
    • (1976) J. Math. Phys. , vol.17 , pp. 821
    • Gorini, V.1    Kossakowski, A.2    Sudarshan, E.C.G.3
  • 28
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • Choi, M.-D.: Completely positive linear maps on complex matrices. Linear Alg. Appl. 10, 285 (1975)
    • (1975) Linear Alg. Appl. , vol.10 , pp. 285
    • Choi, M.-D.1
  • 30
    • 84968466834 scopus 로고
    • Positive functions on C*-algebras
    • Stinespring, W.F.: Positive functions on C*-algebras. Proc. Am. Math. Soc. 6, 211 (1955)
    • (1955) Proc. Am. Math. Soc. , vol.6 , pp. 211
    • Stinespring, W.F.1
  • 31
    • 35448975107 scopus 로고
    • Linear transformations which preserve trace and positive semidefiniteness of operators
    • Jamiołkowski, A.: Linear transformations which preserve trace and positive semidefiniteness of operators. Rep. Math. Phys. 3, 275 (1972)
    • (1972) Rep. Math. Phys. , vol.3 , pp. 275
    • Jamiołkowski, A.1
  • 32
    • 0035821051 scopus 로고    scopus 로고
    • Separability of n-particle mixed states: Necessary and sufficient conditions in terms of linear maps
    • Horodecki, M.,Horodecki, P.,Horodecki, R.: Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps. Phys. Lett. A 283, 1 (2001)
    • (2001) Phys. Lett. A , vol.283 , pp. 1
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 33
    • 0000260392 scopus 로고
    • Positive maps of low dimensional matrix algebras
    • Woronowicz, S.L.: Positive maps of low dimensional matrix algebras. Rep. Math. Phys. 10, 165 (1976)
    • (1976) Rep. Math. Phys. , vol.10 , pp. 165
    • Woronowicz, S.L.1
  • 34
    • 0038144146 scopus 로고
    • Indecomposable positive maps in matrix algebras
    • Tanahashi, K., Tomiyama, J.: Indecomposable positive maps in matrix algebras. Can. Math. Bull 31, 308 (1988)
    • (1988) Can. Math. Bull , vol.31 , pp. 308
    • Tanahashi, K.1    Tomiyama, J.2
  • 35
    • 0000525266 scopus 로고    scopus 로고
    • Reduction criterion of separability and limits for a class of distillation protocols
    • Horodecki, M., Horodecki, P.: Reduction criterion of separability and limits for a class of distillation protocols. Phys. Rev. A 59, 4206 (2000)
    • (2000) Phys. Rev. A , vol.59 , pp. 4206
    • Horodecki, M.1    Horodecki, P.2
  • 36
  • 37
    • 33747779703 scopus 로고    scopus 로고
    • Optimal entanglement criterion for mixed states
    • Breuer, H.-P.: Optimal entanglement criterion for mixed states. Phys. Rev. Lett. 97, 080501 (2006)
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 080501
    • Breuer, H.-P.1
  • 38
    • 33846657938 scopus 로고    scopus 로고
    • A new criterion for indecomposability of positive maps
    • Hall,W.: A new criterion for indecomposability of positive maps. J. Phys. A 39, 14119 (2006)
    • (2006) J. Phys. A , vol.39 , pp. 14119
    • Hall, W.1
  • 39
    • 0039623012 scopus 로고
    • Nonextendible positive maps
    • Woronowicz, S.: Nonextendible positive maps. Comm. Math. Phys. 51, 243 (1976)
    • (1976) Comm. Math. Phys. , vol.51 , pp. 243
    • Woronowicz, S.1
  • 41
    • 0035584893 scopus 로고    scopus 로고
    • A family of indecomposable positive linear maps based on entangled quantum states
    • Terhal, B.M.: A family of indecomposable positive linear maps based on entangled quantum states. Lin. Alg. Appl. 323, 61 (2001)
    • (2001) Lin. Alg. Appl. , vol.323 , pp. 61
    • Terhal, B.M.1
  • 45
    • 0141706992 scopus 로고    scopus 로고
    • Local vs. joint measurements for the entanglement of assistance
    • Laustsen, T., Verstraete, F., van Enk, S.J.: Local vs. joint measurements for the entanglement of assistance. Quantum Inf. Comput. 3, 64 (2003)
    • (2003) Quantum Inf. Comput. , vol.3 , pp. 64
    • Laustsen, T.1    Verstraete, F.2    Van Enk, S.J.3
  • 46
    • 0000620953 scopus 로고    scopus 로고
    • Conditions for a class of entanglement transformations
    • Nielsen, M.A.: Conditions for a class of entanglement transformations. Phys. Rev. Lett. 83, 436 (1999)
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 436
    • Nielsen, M.A.1
  • 47
    • 0034652055 scopus 로고    scopus 로고
    • Entanglement monotones
    • Vidal, G.: Entanglement monotones. J. Mod. Opt. 47, 355 (2000)
    • (2000) J. Mod. Opt. , vol.47 , pp. 355
    • Vidal, G.1
  • 48
    • 0000993033 scopus 로고    scopus 로고
    • Minimal conditions for local pure-state entanglement manipulation
    • Jonathan, D., Plenio, M.B.: Minimal conditions for local pure-state entanglement manipulation. Phys. Rev. Lett. 83, 1455 (1999)
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 1455
    • Jonathan, D.1    Plenio, M.B.2
  • 49
    • 37649032121 scopus 로고    scopus 로고
    • Dual entanglement measures based on no local cloning and no local deleting
    • Horodecki, M., Sen(De), A., Sen, U.: Dual entanglement measures based on no local cloning and no local deleting. Phys. Rev. A 70, 052326 (2004)
    • (2004) Phys. Rev. A , vol.70 , pp. 052326
    • Horodecki, M.1    Sen, A.2    Sen, U.3
  • 50
    • 0346488842 scopus 로고    scopus 로고
    • Distillation and bound entanglement
    • Horodecki, M.: Distillation and bound entanglement. Quantum Inf. Comput. 1, 3 (2001)
    • (2001) Quantum Inf. Comput. , vol.1 , pp. 3
    • Horodecki, M.1
  • 51
    • 33750896329 scopus 로고    scopus 로고
    • An introduction to entanglement measures
    • Plenio, M.B., Virmani, S.: An introduction to entanglement measures. Quant. Inf. Comp. 7, 1 (2007)
    • (2007) Quant. Inf. Comp. , vol.7 , pp. 1
    • Plenio, M.B.1    Virmani, S.2
  • 53
    • 4644359625 scopus 로고    scopus 로고
    • Entanglement of a pair of quantum bits
    • Hill, S., Wootters, W.K.: Entanglement of a pair of quantum bits. Phys. Rev. Lett. 78, 5022 (1997)
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 5022
    • Hill, S.1    Wootters, W.K.2
  • 54
    • 4243684526 scopus 로고    scopus 로고
    • Entanglement of formation of an arbitrary state of two qubits
    • Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2245
    • Wootters, W.K.1
  • 55
    • 18144442709 scopus 로고    scopus 로고
    • Entanglement of formation for isotropic states
    • Terhal, B.M., Vollbrecht, K.G.H.: Entanglement of formation for isotropic states. Phys. Rev. Lett. 85, 2625 (2000)
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 2625
    • Terhal, B.M.1    Vollbrecht, K.G.H.2
  • 56
    • 0035679286 scopus 로고    scopus 로고
    • Entanglement measures under symmetry
    • Vollbrecht, K.G.H., Werner, R.F.: Entanglement measures under symmetry. Phys. Rev. A 64, 062307 (2001)
    • (2001) Phys. Rev. A , vol.64 , pp. 062307
    • Vollbrecht, K.G.H.1    Werner, R.F.2
  • 57
  • 58
    • 0037241260 scopus 로고    scopus 로고
    • Concurrence-based entanglementmeasures for isotropic states
    • Rungta, P.,Caves,C.M.: Concurrence-based entanglementmeasures for isotropic states. Phys. Rev. A 67, 012307 (2003)
    • (2003) Phys. Rev. A , vol.67 , pp. 012307
    • Rungta, P.1    Caves, C.M.2
  • 59
    • 33746640055 scopus 로고    scopus 로고
    • Measuring multipartite concurrence with a single factorizable observable
    • Aolita, L., Mintert, F.: Measuring multipartite concurrence with a single factorizable observable. Phys. Rev. Lett. 97, 050501 (2006)
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 050501
    • Aolita, L.1    Mintert, F.2
  • 61
    • 0036509287 scopus 로고    scopus 로고
    • Computable measure of entanglement
    • Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)
    • (2002) Phys. Rev. A , vol.65 , pp. 032314
    • Vidal, G.1    Werner, R.F.2
  • 62
    • 27144467707 scopus 로고    scopus 로고
    • Logarithmic negativity: A full entanglement monotone that is not convex
    • Plenio,M.B.: Logarithmic negativity: a full entanglement monotone that is not convex. Phys. Rev. Lett. 95, 090503 (2005)
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 090503
    • Plenio, M.B.1
  • 64
  • 65
    • 33750485765 scopus 로고
    • Black holes and entropy
    • Bekenstein, J.D.: Black holes and entropy. Phys. Rev. D 7, 2333 (1973)
    • (1973) Phys. Rev. D , vol.7 , pp. 2333
    • Bekenstein, J.D.1
  • 66
    • 0942267993 scopus 로고    scopus 로고
    • Black holes and information theory
    • Bekenstein, J.D.: Black holes and information theory. Contemp. Phys. 45, 31 (2004)
    • (2004) Contemp. Phys. , vol.45 , pp. 31
    • Bekenstein, J.D.1
  • 67
    • 36949051230 scopus 로고
    • Black hole explosions?
    • Hawking, S.W.: Black hole explosions?. Nature 248, 30 (1974)
    • (1974) Nature , vol.248 , pp. 30
    • Hawking, S.W.1
  • 68
    • 0036659444 scopus 로고    scopus 로고
    • The holographic principle
    • Bousso, R.: The holographic principle. Rev. Mod. Phys. 74, 825 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 825
    • Bousso, R.1
  • 69
    • 77649149203 scopus 로고    scopus 로고
    • Area laws for the entanglement entropy-a review
    • Eisert, J., Cramer, M., Plenio, M.B.: Area laws for the entanglement entropy-a review. Rev. Mod. Phys. 82, 277 (2010)
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 277
    • Eisert, J.1    Cramer, M.2    Plenio, M.B.3
  • 70
    • 77149162699 scopus 로고    scopus 로고
    • Special issue: Entanglement entropy in extended quantum systems
    • Calabrese, P., Cardy, J., Doyon, B.: Special issue: entanglement entropy in extended quantum systems. J. Phys. A 42, 500301 (2009)
    • (2009) J. Phys. A , vol.42 , pp. 500301
    • Calabrese, P.1    Cardy, J.2    Doyon, B.3
  • 71
    • 36749106177 scopus 로고
    • Entropy of an n-system from its correlation with a k-reservoir
    • Lubkin, E.: Entropy of an n-system from its correlation with a k-reservoir. J.Math. Phys. 19, 1028 (1978)
    • (1978) J.Math. Phys. , vol.19 , pp. 1028
    • Lubkin, E.1
  • 72
    • 29444453221 scopus 로고
    • Complexity as thermodynamic depth
    • Lloyd, S., Pagels, H.: Complexity as thermodynamic depth. Ann. Phys. 188, 186 (1988)
    • (1988) Ann. Phys. , vol.188 , pp. 186
    • Lloyd, S.1    Pagels, H.2
  • 73
    • 0001607714 scopus 로고
    • Average entropy of a subsystem
    • Page, D.N.: Average entropy of a subsystem. Phys. Rev. Lett. 71, 1291 (1993)
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1291
    • Page, D.N.1
  • 75
    • 4243471647 scopus 로고
    • Proof of a Page's conjecture on the average entropy of a subsystem
    • Foong, S.K., Kanno, S.: Proof of a Page's conjecture on the average entropy of a subsystem. Phys. Rev. Lett. 72, 1148 (1994)
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1148
    • Foong, S.K.1    Kanno, S.2
  • 76
    • 0001853648 scopus 로고    scopus 로고
    • Average entropy of a quantum subsystem
    • Sen, S.: Average entropy of a quantum subsystem. Phys. Rev. Lett. 77, 1 (1996)
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1
    • Sen, S.1
  • 77
    • 0009502590 scopus 로고
    • Simple Proof of Page's conjecture on the average entropy of a subsystem
    • Sanchez-Ruíz, J.: Simple Proof of Page's conjecture on the average entropy of a subsystem. Phys. Rev. E 52, 5653 (1995)
    • (1995) Phys. Rev. e , vol.52 , pp. 5653
    • Sanchez-Ruíz, J.1
  • 78
    • 41549155846 scopus 로고    scopus 로고
    • An area law for one-dimensional quantum system
    • Hastings,M.B.: An area law for one-dimensional quantum system. J. Stat. Mech. Theory Exp. 2007, 08024 (2007)
    • (2007) J. Stat. Mech. Theory Exp. , vol.2007 , pp. 08024
    • Hastings, M.B.1
  • 79
    • 0011320769 scopus 로고
    • The finite group velocity of quantum spin systems
    • Eisert, E.H., Robinson, D.W.: The finite group velocity of quantum spin systems. Comm. Math. Phys. 28, 251 (1972)
    • (1972) Comm. Math. Phys. , vol.28 , pp. 251
    • Eisert, E.H.1    Robinson, D.W.2
  • 80
    • 70450231687 scopus 로고    scopus 로고
    • Area law for the entropy of low-energy states
    • Masanes, L.: Area law for the entropy of low-energy states. Phys. Rev. A 80, 052104 (2009)
    • (2009) Phys. Rev. A , vol.80 , pp. 052104
    • Masanes, L.1
  • 81
    • 18244397944 scopus 로고    scopus 로고
    • Entanglement in spin chains and lattices with long-range Ising-type interactions
    • Dür,W., Hartmann, L., Hein, M., Lewenstein, M., Briegel, H.-J.: Entanglement in spin chains and lattices with long-range Ising-type interactions. Phys. Rev. Lett. 94, 097203 (2005)
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 097203
    • Dür, W.1    Hartmann, L.2    Hein, M.3    Lewenstein, M.4    Briegel, H.-J.5
  • 82
    • 33750006566 scopus 로고    scopus 로고
    • General entanglement scaling laws from time evolution
    • Eisert, J., Osborne, T.: General entanglement scaling laws from time evolution. Phys. Rev. Lett. 97, 150404 (2006)
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 150404
    • Eisert, J.1    Osborne, T.2
  • 83
    • 71049184537 scopus 로고    scopus 로고
    • A short review on entanglement in quantum spin systems
    • Latorre, J.I., Riera, A.: A short review on entanglement in quantum spin systems. J. Phys. A 42, 504002 (2009)
    • (2009) J. Phys. A , vol.42 , pp. 504002
    • Latorre, J.I.1    Riera, A.2
  • 85
    • 4043058415 scopus 로고    scopus 로고
    • Quantum spin chain Toeplitz deteminants and the Ficher-Hartwig conjecture
    • Jin, B.-Q., Korepin, V.E.: Quantum spin chain, Toeplitz deteminants and the Ficher-Hartwig conjecture. J. Stat. Phys. 116, 79 (2004)
    • (2004) J. Stat. Phys. , vol.116 , pp. 79
    • Jin, B.-Q.1    Korepin, V.E.2
  • 87
    • 18144411651 scopus 로고    scopus 로고
    • Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory
    • Keating, J.P.,Mezzadri, F.: Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory. Phys. Rev. Lett. 94, 050501 (2005)
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 050501
    • Keating, J.P.1    Mezzadri, F.2
  • 88
    • 28844479468 scopus 로고    scopus 로고
    • Single-copy entanglement in critical quantum spin chains
    • Eisert, J., Cramer, M.: Single-copy entanglement in critical quantum spin chains. Phys. Rev. A 72, 042112 (2005)
    • (2005) Phys. Rev. A , vol.72 , pp. 042112
    • Eisert, J.1    Cramer, M.2
  • 89
    • 75849144987 scopus 로고    scopus 로고
    • Entanglement entropy and conformal field theory
    • Calabrese, P., Cardy, J.: Entanglement entropy and conformal field theory. J. Phys. A 42, 504005 (2009)
    • (2009) J. Phys. A , vol.42 , pp. 504005
    • Calabrese, P.1    Cardy, J.2
  • 90
    • 32644460099 scopus 로고    scopus 로고
    • Violation of the entropic area law for fermions
    • Wolf, M.M.: Violation of the entropic area law for fermions. Phys. Rev. Lett. 96, 010404 (2006)
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 010404
    • Wolf, M.M.1
  • 91
    • 33644887514 scopus 로고    scopus 로고
    • Entanglement entropy of fermions in any dimension and the Widom conjecture
    • Gioev, D., Klich, I.: Entanglement entropy of fermions in any dimension and the Widom conjecture. Phys. Rev. Lett. 96, 100503 (2006)
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 100503
    • Gioev, D.1    Klich, I.2
  • 92
    • 36148931884 scopus 로고    scopus 로고
    • The von Neumann entropy asymptotics in multidimensional fermionic systems
    • Farkas, S., Zimboras, Z.: The von Neumann entropy asymptotics in multidimensional fermionic systems. J. Math. Phys. 48, 102110 (2007)
    • (2007) J. Math. Phys. , vol.48 , pp. 102110
    • Farkas, S.1    Zimboras, Z.2
  • 93
    • 19644400809 scopus 로고    scopus 로고
    • Locality in quantum and Markov dynamics on lattices and networks
    • Hastings, M.B.: Locality in quantum and Markov dynamics on lattices and networks. Phys. Rev. Lett. 93, 140402 (2004)
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 140402
    • Hastings, M.B.1
  • 95
    • 28844487890 scopus 로고    scopus 로고
    • Quantum, classical, and total amount of correlations in a quantum state
    • Groisman, B., Popescu, S., Winter, A.: Quantum, classical, and total amount of correlations in a quantum state. Phys. Rev. A 72, 032317 (2005)
    • (2005) Phys. Rev. A , vol.72 , pp. 032317
    • Groisman, B.1    Popescu, S.2    Winter, A.3
  • 96
    • 40849096540 scopus 로고    scopus 로고
    • Area laws in quantum systems: Mutual information and correlations
    • Wolf,M.M., Verstraete, F., Hastings,M.B., Cirac, J.I.: Area laws in quantum systems: mutual information and correlations. Phys. Rev. Lett. 100, 070502 (2008)
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 070502
    • Wolf, M.M.1    Verstraete, F.2    Hastings, M.B.3    Cirac, J.I.4
  • 97
    • 4043103878 scopus 로고    scopus 로고
    • Entanglement versus correlations in spin systems
    • Verstraete, F., Popp, M., Cirac, J.I.: Entanglement versus correlations in spin systems. Phys. Rev. Lett. 92, 027901 (2004)
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 027901
    • Verstraete, F.1    Popp, M.2    Cirac, J.I.3
  • 98
    • 0242425255 scopus 로고    scopus 로고
    • Efficient classical simulation of slightly entangled quantum computations
    • Vidal, G.: Efficient classical simulation of slightly entangled quantum computations. Phys. Rev. Lett. 91, 147902 (2003)
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 147902
    • Vidal, G.1
  • 101
    • 34147120121 scopus 로고    scopus 로고
    • Computational complexity of projected entangled pair states
    • Schuch, N., Wolf, M.M., Verstraete, F., Cirac, J.I.: Computational complexity of projected entangled pair states. Phys. Rev. Lett. 98, 140506 (2007)
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 140506
    • Schuch, N.1    Wolf, M.M.2    Verstraete, F.3    Cirac, J.I.4
  • 102
    • 26844535199 scopus 로고
    • Rigorous results on valence-bond ground states in antiferromagnets
    • Affleck, I., Kennedy, T., Lieb, E.H., Tasaki, H.: Rigorous results on valence-bond ground states in antiferromagnets. Phys. Rev. Lett. 59, 799 (1987)
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 799
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 103
    • 0009504187 scopus 로고
    • Valence bond ground states in isotropic quantum antiferromagnets
    • Affleck, I., Kennedy, T., Lieb, E.H., Tasaki, H.: Valence bond ground states in isotropic quantum antiferromagnets. Commun. Math. Phys. 115, 477 (1988)
    • (1988) Commun. Math. Phys. , vol.115 , pp. 477
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 104
    • 0004159250 scopus 로고
    • On next-nearest-neighbor interaction in linear chain
    • Majumdar,C.K., Ghosh, D.K.:On next-nearest-neighbor interaction in linear chain. I. J. Math. Phys. 10, 1388 (1969)
    • (1969) I. J. Math. Phys. , vol.10 , pp. 1388
    • Majumdar, C.K.1    Ghosh, D.K.2
  • 105
    • 11644279337 scopus 로고
    • Time-dependent statistics of the Ising model
    • Glauber, R.J.: Time-dependent statistics of the Ising model. J. Math. Phys 4, 294 (1963)
    • (1963) J. Math. Phys , vol.4 , pp. 294
    • Glauber, R.J.1
  • 106
    • 29444446868 scopus 로고
    • Renormalization group transformation for the master equation of a kinetic Ising chain
    • Deker, U., Haake, F.: Renormalization group transformation for the master equation of a kinetic Ising chain. Z. Phys. B 35, 281 (1979)
    • (1979) Z. Phys. B , vol.35 , pp. 281
    • Deker, U.1    Haake, F.2
  • 107
    • 34250265885 scopus 로고
    • The kinetic Ising model: Exact susceptibilities of two simple examples
    • Kimball, J.C.: The kinetic Ising model: exact susceptibilities of two simple examples. J. Stat. Phys. 21, 289 (1979)
    • (1979) J. Stat. Phys. , vol.21 , pp. 289
    • Kimball, J.C.1
  • 108
    • 0039423564 scopus 로고
    • Universality classes for one dimensional kinetic Ising models
    • Haake, F., Thol, K.: Universality classes for one dimensional kinetic Ising models. Z. Phys. B 40, 219 (1980)
    • (1980) Z. Phys. B , vol.40 , pp. 219
    • Haake, F.1    Thol, K.2
  • 109
    • 85025784930 scopus 로고
    • Spin relaxation of the Ising chain
    • Felderhof, B.U.: Spin relaxation of the Ising chain. Rep. Math. Phys. 1, 215 (1971)
    • (1971) Rep. Math. Phys. , vol.1 , pp. 215
    • Felderhof, B.U.1
  • 110
    • 0001324107 scopus 로고
    • Pseudospin formulation of kinetic Ising models
    • Siggia, E.D.: Pseudospin formulation of kinetic Ising models. Phys. Rev. B 16, 2319 (1977)
    • (1977) Phys. Rev. B , vol.16 , pp. 2319
    • Siggia, E.D.1
  • 111
    • 0010354712 scopus 로고
    • Master equation for Ising model
    • Heims, S.P.: Master equation for Ising model. Phys. Rev. 138, A587 (1965)
    • (1965) Phys. Rev. , vol.138
    • Heims, S.P.1
  • 114
    • 0006380473 scopus 로고
    • Kinetics of the stochastic Ising chain in a two-flip model
    • Hilhorst, H.J., Suzuki,M., Felderhof, B.U.: Kinetics of the stochastic Ising chain in a two-flip model. Physica 60, 199 (1972)
    • (1972) Physica , vol.60 , pp. 199
    • Suzukim, J.H.H.1    Felderhof, B.U.2
  • 115
    • 0346815623 scopus 로고
    • Über das Paulische Aequivalenzverbot
    • Jordan, P., Wigner, E.: Über das Paulische Aequivalenzverbot. Z. Phys. 47, 631 (1928)
    • (1928) Z. Phys. , vol.47 , pp. 631
    • Jordan, P.1    Wigner, E.2
  • 116
    • 51249194806 scopus 로고
    • On a new method in the theory of superconductivity
    • Bogoliubov, N.N.: On a new method in the theory of superconductivity. Nuovo Cimento 7, 794 (1958)
    • (1958) Nuovo Cimento , vol.7 , pp. 794
    • Bogoliubov, N.N.1
  • 117
    • 51249192754 scopus 로고
    • Comments on the theory of superconductivity
    • Valatin, J.G.: Comments on the theory of superconductivity. Nuovo Cimento 7, 843 (1958)
    • (1958) Nuovo Cimento , vol.7 , pp. 843
    • Valatin, J.G.1
  • 119
    • 33749345011 scopus 로고    scopus 로고
    • Ground state overlap and quantum phase transitions
    • Zanardi, P., Paunkovíc, N.: Ground state overlap and quantum phase transitions. Phys. Rev. E 74, 031123 (2006)
    • (2006) Phys. Rev. e , vol.74 , pp. 031123
    • Zanardi, P.1    Paunkovíc, N.2
  • 120
  • 121
    • 55149112825 scopus 로고    scopus 로고
    • Px+ipy Superfluid from s-wave interactions of fermionic cold atoms
    • Zhang, C., Tewari, S., Lutchyn, R., Sarma, S.D.: px+ipy Superfluid from s-wave interactions of fermionic cold atoms. Phys. Rev. Lett. 101, 160401 (2008)
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 160401
    • Zhang, C.1    Tewari, S.2    Lutchyn, R.3    Sarma, S.D.4
  • 123
    • 46949084674 scopus 로고    scopus 로고
    • Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum Hall effect states
    • Li, H., Haldane, F.D.M.: Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-Abelian fractional quantum Hall effect states. Phys. Rev. Lett. 101, 010504 (2008)
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 010504
    • Li, H.1    Haldane, F.D.M.2
  • 124
    • 53349141692 scopus 로고    scopus 로고
    • Entanglement spectrum in one-dimensional systems
    • Calabrese, P., Lefevre, A.: Entanglement spectrum in one-dimensional systems. Phys. Rev. A 78, 032329 (2008)
    • (2008) Phys. Rev. A , vol.78 , pp. 032329
    • Calabrese, P.1    Lefevre, A.2
  • 125
    • 36549074539 scopus 로고    scopus 로고
    • Entanglement renormalization
    • Vidal, G.: Entanglement renormalization. Phys. Rev. Lett. 99, 220405 (2007)
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 220405
    • Vidal, G.1
  • 126
    • 19744375073 scopus 로고    scopus 로고
    • Dynamics of the superfluid to Mott-insulator transition in one dimension
    • Clark, S.R., Jaksch, D.: Dynamics of the superfluid to Mott-insulator transition in one dimension. Phys. Rev. A 70, 043612 (2004)
    • (2004) Phys. Rev. A , vol.70 , pp. 043612
    • Clark, S.R.1    Jaksch, D.2
  • 128
    • 72649091684 scopus 로고    scopus 로고
    • Fermionic multiscale entanglement renormalization ansatz
    • Corboz, P., Vidal, G.: Fermionic multiscale entanglement renormalization ansatz. Phys. Rev. B 80, 165129 (2009)
    • (2009) Phys. Rev. B , vol.80 , pp. 165129
    • Corboz, P.1    Vidal, G.2
  • 129
    • 74949101600 scopus 로고    scopus 로고
    • Simulation of interacting fermions with entanglement renormalization
    • Corboz, P., Evenbly, G., Verstraete, F., Vidal, G.: Simulation of interacting fermions with entanglement renormalization. Phys. Rev. A 81, 010303 (2010)
    • (2010) Phys. Rev. A , vol.81 , pp. 010303
    • Corboz, P.1    Evenbly, G.2    Verstraete, F.3    Vidal, G.4
  • 130
    • 70350769126 scopus 로고    scopus 로고
    • Contraction of fermionic operator circuits and the simulation of strongly correlated fermions
    • Barthel, T., Pineda, C., Eisert, J.: Contraction of fermionic operator circuits and the simulation of strongly correlated fermions. Phys. Rev. A 80, 042333 (2009)
    • (2009) Phys. Rev. A , vol.80 , pp. 042333
    • Barthel, T.1    Pineda, C.2    Eisert, J.3
  • 131
    • 77955380339 scopus 로고    scopus 로고
    • Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
    • Corboz, P., Orús, R., Bauer, B., Vidal, G.: Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states. Phys. Rev. B 81, 165104 (2010)
    • (2010) Phys. Rev. B , vol.81 , pp. 165104
    • Corboz, P.1    Orús, R.2    Bauer, B.3    Vidal, G.4
  • 132
    • 77953214583 scopus 로고    scopus 로고
    • Unitary circuits for strongly correlated fermions
    • Pineda, C., Barthel, T., Eisert, J.: Unitary circuits for strongly correlated fermions. Phys. Rev. A 81, 050303 (2010)
    • (2010) Phys. Rev. A , vol.81 , pp. 050303
    • Pineda, C.1    Barthel, T.2    Eisert, J.3
  • 133
    • 27144455719 scopus 로고    scopus 로고
    • Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
    • Troyer,M.,Wiese, U.-J.: Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations. Phys. Rev. Lett. 94, 170201 (2005)
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 170201
    • Troyer, M.1    Wiese, U.-J.2
  • 137
    • 70249086538 scopus 로고    scopus 로고
    • Quantum computation and quantum-state engineering driven by dissipation
    • Verstraete, F., Wolf, M.M., Cirac, J.I.: Quantum computation and quantum-state engineering driven by dissipation. Nat. Phys. 5, 633 (2009)
    • (2009) Nat. Phys. , vol.5 , pp. 633
    • Verstraete, F.1    Wolf, M.M.2    Cirac, J.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.