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Volumn 45, Issue 12, 2012, Pages

Subsystem dynamics under random Hamiltonian evolution

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EID: 84858711475     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/12/125204     Document Type: Article
Times cited : (77)

References (47)
  • 6
    • 0002125597 scopus 로고
    • The generalized product moment distribution in samples from a normal multivariate population
    • Wishart J 1928 The generalized product moment distribution in samples from a normal multivariate population Biometrika A 20 32
    • (1928) Biometrika , vol.20 , pp. 32
    • Wishart, J.1
  • 7
    • 0031500787 scopus 로고    scopus 로고
    • Random-matrix theory of quantum transport
    • Beenakker C W J 1997 Random-matrix theory of quantum transport Rev. Mod. Phys. 69 731
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 731
    • Beenakker, C.W.J.1
  • 10
    • 17344389505 scopus 로고    scopus 로고
    • Random matrix analysis of human EEG data
    • eba P 2003 Random matrix analysis of human EEG data Phys. Rev. Lett. 91 198104
    • (2003) Phys. Rev. Lett. , vol.91
    • Eba, P.1
  • 11
    • 0037472554 scopus 로고    scopus 로고
    • Effective matter superpotentials from Wishart random matrices
    • Demasure Y and Janik R A 2003 Effective matter superpotentials from Wishart random matrices Phys. Lett. B 553 105
    • (2003) Phys. Lett. , vol.553 , pp. 105
    • Demasure, Y.1    Janik, R.A.2
  • 12
    • 0004083131 scopus 로고    scopus 로고
    • Capacity of multi-antenna Gaussian channels
    • Telatar E 1999 Capacity of multi-antenna Gaussian channels Eur. Trans. Telecommun. 10 585
    • (1999) Eur. Trans. Telecommun. , vol.10 , pp. 585
    • Telatar, E.1
  • 14
    • 61349158649 scopus 로고    scopus 로고
    • Large deviations of the maximum eigenvalue for Wishart and Gaussian random matrices
    • Majumdar S N and Vergassola M 2009 Large deviations of the maximum eigenvalue for Wishart and Gaussian random matrices Phys. Rev. Lett. 102 060601
    • (2009) Phys. Rev. Lett. , vol.102
    • Majumdar, S.N.1    Vergassola, M.2
  • 15
    • 77949638134 scopus 로고    scopus 로고
    • Phase transitions in the distribution of bipartite entanglement of a random pure state
    • Nadal C, Majumdar S N and Vergassola M 2010 Phase transitions in the distribution of bipartite entanglement of a random pure state Phys. Rev. Lett. 104 110501
    • (2010) Phys. Rev. Lett. , vol.104
    • Nadal, C.1    Majumdar, S.N.2    Vergassola, M.3
  • 16
    • 79251595231 scopus 로고    scopus 로고
    • Statistical distribution of quantum entanglement for a random bipartite state
    • Nadal C, Majumdar S N and Vergassola M 2011 Statistical distribution of quantum entanglement for a random bipartite state J. Stat. Phys. 142 403
    • (2011) J. Stat. Phys. , vol.142 , pp. 403
    • Nadal, C.1    Majumdar, S.N.2    Vergassola, M.3
  • 17
    • 79958071938 scopus 로고    scopus 로고
    • Compact smallest eigenvalue expressions in WishartLaguerre ensembles with or without a fixed-trace
    • Akemann G and Vivo P 2011 Compact smallest eigenvalue expressions in WishartLaguerre ensembles with or without a fixed-trace J. Stat. Mech. 2011 P05020
    • (2011) J. Stat. Mech. , vol.2011
    • Akemann, G.1    Vivo, P.2
  • 18
    • 56549123410 scopus 로고    scopus 로고
    • Power law deformation of WishartLaguerre ensembles of random matrices
    • Akemann G and Vivo P 2008 Power law deformation of WishartLaguerre ensembles of random matrices J. Stat. Mech. 2008 P09002
    • (2008) J. Stat. Mech. , vol.2008
    • Akemann, G.1    Vivo, P.2
  • 19
    • 0000952005 scopus 로고
    • Distributions of matrix variates and latent roots derived from normal samples
    • James A T 1964 Distributions of matrix variates and latent roots derived from normal samples Ann. Math. Stat. 35 475
    • (1964) Ann. Math. Stat. , vol.35 , pp. 475
    • James, A.T.1
  • 21
    • 27644476898 scopus 로고    scopus 로고
    • Phase transition of the largest eigenvalue for non-null complex sample covariance matrices
    • Baik J, Ben Arous G and Ṕch́ S 2005 Phase transition of the largest eigenvalue for non-null complex sample covariance matrices Ann. Probab. 33 1643
    • (2005) Ann. Probab. , vol.33 , pp. 1643
    • Baik, J.1    Ben Arous, G.2    Ṕch́, S.3
  • 22
    • 33644663776 scopus 로고    scopus 로고
    • Non-white Wishart ensembles
    • Ṕch́ S 2006 Non-white Wishart ensembles J. Multivariate Anal. 97 874
    • (2006) J. Multivariate Anal. , vol.97 , pp. 874
    • Ṕch́, S.1
  • 24
    • 37649027580 scopus 로고    scopus 로고
    • Eigenvalue density of correlated complex random Wishart matrices
    • Simon S H and Moustakas A L 2004 Eigenvalue density of correlated complex random Wishart matrices Phys. Rev. E 69 065101
    • (2004) Phys. Rev. , vol.69
    • Simon, S.H.1    Moustakas, A.L.2
  • 25
    • 77749305175 scopus 로고    scopus 로고
    • Correlated Wishart ensembles and chaotic time series
    • Vinayak and Pandey A 2010 Correlated Wishart ensembles and chaotic time series Phys. Rev. E 81 036202
    • (2010) Phys. Rev. , vol.81
    • Vinayak1    Pandey, A.2
  • 26
    • 78649851981 scopus 로고    scopus 로고
    • Eigenvalue densities of real and complex Wishart correlation matrices
    • Recher C, Kieburg M and Guhr T 2010 Eigenvalue densities of real and complex Wishart correlation matrices Phys. Rev. Lett. 105 244101
    • (2010) Phys. Rev. Lett. , vol.105
    • Recher, C.1    Kieburg, M.2    Guhr, T.3
  • 27
    • 0345731469 scopus 로고    scopus 로고
    • Pseudo-random unitary operators for quantum information processing
    • Emerson J, Weinstein Y S, Saraceno M, Lloyd S and Cory D G 2003 Pseudo-random unitary operators for quantum information processing Science 302 2098
    • (2003) Science , vol.302 , pp. 2098
    • Emerson, J.1    Weinstein, Y.S.2    Saraceno, M.3    Lloyd, S.4    Cory, D.G.5
  • 28
    • 70350116888 scopus 로고    scopus 로고
    • Random quantum circuits are approximate 2-designs
    • Harrow A W and Low R A 2009 Random quantum circuits are approximate 2-designs Commun. Math. Phys. 291 257
    • (2009) Commun. Math. Phys. , vol.291 , pp. 257
    • Harrow, A.W.1    Low, R.A.2
  • 29
    • 52349100210 scopus 로고    scopus 로고
    • Exact convergence times for generation of random bipartite entanglement
    • nidari M 2008 Exact convergence times for generation of random bipartite entanglement Phys. Rev. A 78 032324
    • (2008) Phys. Rev. , vol.78
    • Nidari, M.1
  • 30
    • 77953766241 scopus 로고    scopus 로고
    • Convergence rates for arbitrary statistical moments of random quantum circuits
    • Brown W G and Viola L 2010 Convergence rates for arbitrary statistical moments of random quantum circuits Phys. Rev. Lett. 104 250501
    • (2010) Phys. Rev. Lett. , vol.104
    • Brown, W.G.1    Viola, L.2
  • 31
    • 79955087492 scopus 로고    scopus 로고
    • Comment on Random quantum circuits are approximate 2-designs by A W Harrow and R A Low (Commun. Math. Phys. 291, 257302 (2009))
    • Diniz I T and Jonathan D 2011 Comment on Random quantum circuits are approximate 2-designs by A W Harrow and R A Low (Commun. Math. Phys. 291, 257302 (2009)) Commun. Math. Phys. 304 281
    • (2011) Commun. Math. Phys. , vol.304 , pp. 281
    • Diniz, I.T.1    Jonathan, D.2
  • 34
    • 34547141605 scopus 로고    scopus 로고
    • Optimal two-qubit gate for generation of random bipartite entanglement
    • nidari M 2007 Optimal two-qubit gate for generation of random bipartite entanglement Phys. Rev. A 76 012318
    • (2007) Phys. Rev. , vol.76
    • Nidari, M.1
  • 35
    • 67549114999 scopus 로고    scopus 로고
    • Statistics of Schmidt coefficients and the simulability of complex quantum systems
    • Venzl H, Daley A J, Mintert F and Buchleitner A 2009 Statistics of Schmidt coefficients and the simulability of complex quantum systems Phys. Rev. E 79 056223
    • (2009) Phys. Rev. , vol.79
    • Venzl, H.1    Daley, A.J.2    Mintert, F.3    Buchleitner, A.4
  • 36
    • 0038239559 scopus 로고    scopus 로고
    • Moments and cumulants of polynomial random variables on unitary groups, the ItzyksonZuber integral, and free probability
    • Collins B 2003 Moments and cumulants of polynomial random variables on unitary groups, the ItzyksonZuber integral, and free probability Int. Math. Res. Not. 17 953
    • (2003) Int. Math. Res. Not. , vol.2003 , pp. 953
    • Collins, B.1
  • 37
    • 84860389567 scopus 로고    scopus 로고
    • Non-Markovian behavior of small and large complex quantum systems
    • nidari M, Pineda C and Garca-Mata I 2011 Non-Markovian behavior of small and large complex quantum systems Phys. Rev. Lett. 107 080404
    • (2011) Phys. Rev. Lett. , vol.107
    • Nidari, M.1    Pineda, C.2    Garca-Mata, I.3
  • 38
    • 79957988664 scopus 로고    scopus 로고
    • Crossover ensembles of random matrices and skew-orthogonal polynomials
    • Kumar S and Pandey A 2011 Crossover ensembles of random matrices and skew-orthogonal polynomials Ann. Phys. 326 1877
    • (2011) Ann. Phys. , vol.326 , pp. 1877
    • Kumar, S.1    Pandey, A.2
  • 39
    • 0029424246 scopus 로고
    • Approximating by the Wishart distribution
    • Kollo T and von Rosen D 1995 Approximating by the Wishart distribution Ann. Inst. Stat. Math. 47 767
    • (1995) Ann. Inst. Stat. Math. , vol.47 , pp. 767
    • Kollo, T.1    Von Rosen, D.2
  • 40
    • 0000263234 scopus 로고
    • Distribution of eigenvalues for some sets of random matrices
    • Marenko V A and Pastur L A 1967 Distribution of eigenvalues for some sets of random matrices Math. USSR Sb. 1 457
    • (1967) Math. USSR Sb. , vol.1 , pp. 457
    • Marenko, V.A.1    Pastur, L.A.2
  • 41
    • 36749106177 scopus 로고
    • Entropy of an n-system from its correlation with a k-reservoir
    • Lubkin E 1978 Entropy of an n-system from its correlation with a k-reservoir J. Math. Phys. 19 1028
    • (1978) J. Math. Phys. , vol.19 , pp. 1028
    • Lubkin, E.1
  • 43
    • 34547268957 scopus 로고    scopus 로고
    • Statistical bounds on the dynamical production of entanglement
    • Abreu R F and Vallejos R O 2007 Statistical bounds on the dynamical production of entanglement Phys. Rev. A 75 062335
    • (2007) Phys. Rev. , vol.75
    • Abreu, R.F.1    Vallejos, R.O.2
  • 44
    • 35548930761 scopus 로고    scopus 로고
    • Entanglement of random vectors
    • nidari M 2007 Entanglement of random vectors J. Phys. A: Math. Theor. 40 F105
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 105
    • Nidari, M.1


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