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## Slater, Paul B.

Compute Distance To:
 Author ID: slater.paul-b Published as: Slater, Paul B.; Slater, P. B.
 Documents Indexed: 39 Publications since 1987

#### Co-Authors

 33 single-authored 4 Dunkl, Charles F. 1 Byrd, Mark S. 1 Krattenthaler, Christian Friedrich
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#### Serials

 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of Physics A: Mathematical and General 5 Journal of Geometry and Physics 4 Journal of Mathematical Physics 3 Physics Letters. A 3 Quantum Information Processing 2 Letters in Mathematical Physics 2 Applied Mathematics and Computation 2 Advances in Mathematical Physics 1 IEEE Transactions on Information Theory 1 International Journal of Quantum Information 1 Physical Review A, Third Series 1 Random Matrices: Theory and Applications
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#### Fields

 36 Quantum theory (81-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 105 times in 49 Documents Cited by Year
A priori probabilities of separable quantum states. Zbl 0946.81014
Slater, Paul B.
1999
Asymptotic redundancies for universal quantum coding. Zbl 0999.94019
Krattenthaler, Christian; Slater, Paul B.
2000
A concise formula for generalized two-qubit Hilbert-Schmidt separability probabilities. Zbl 1276.81018
Slater, Paul B.
2013
Silver mean conjectures for 15-dimensional volumes and 14-dimensional hyperareas of the separable two-qubit systems. Zbl 1065.81032
Slater, Paul B.
2005
Quantum Fisher-Bures information of two-level systems and a three-level extension. Zbl 0899.60093
Slater, Paul B.
1996
Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert-Schmidt and induced measures. Zbl 1330.15041
Dunkl, Charles F.; Slater, Paul B.
2014
Moment-based evidence for simple rational-valued Hilbert-Schmidt generic $$2 \times 2$$ separability probabilities. Zbl 1241.81033
Slater, Paul B.; Dunkl, Charles F.
2012
Formulas for rational-valued separability probabilities of random induced generalized two-qubit states. Zbl 1337.81027
Slater, Paul B.; Dunkl, Charles F.
2015
Hall normalization constants for the Bures volumes of the $$n$$-state quantum systems. Zbl 0985.81023
Slater, Paul B.
1999
Increased efficiency of quantum state estimation using non-separable measurements. Zbl 0989.81015
Slater, Paul B.
2001
Eigenvalues, separability and absolute separability of two-qubit states. Zbl 1154.81003
Slater, Paul B.
2009
Mixed state holonomies. Zbl 1022.81019
Slater, Paul B.
2002
Bures measures over the spaces of two- and three-dimensional density matrices. Zbl 0984.81062
Byrd, M. S.; Slater, P. B.
2001
Qubit-qutrit separability-probability ratios. Zbl 1227.81130
Slater, Paul B.
2005
Dyson indices and Hilbert-Schmidt separability functions and probabilities. Zbl 1128.81007
Slater, Paul B.
2007
Applications of quantum and classical Fisher information to two-level complex and quaternionic and three-level complex systems. Zbl 0866.62002
Slater, Paul B.
1996
Invariance of bipartite separability and PPT-probabilities over Casimir invariants of reduced states. Zbl 1348.81111
Slater, Paul B.
2016
Comparative noninformativities of quantum priors based on monotone metrics. Zbl 0941.81014
Slater, Paul B.
1998
The quantum Jeffrey’s prior/Bures metric volume element for squeezed thermal states and a universal coding conjecture. Zbl 1130.81356
Slater, Paul B.
1996
Bures geometry of three-level quantum systems. Zbl 1079.81028
Slater, Paul B.
2001
Hilbert-Schmidt separability probabilities and noninformativity of priors. Zbl 1088.81028
Slater, Paul B.
2006
Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities. Zbl 1375.81046
Slater, Paul B.; Dunkl, Charles F.
2015
Monotonicity properties of certain measures over the two-level quantum systems. Zbl 1079.81532
Slater, Paul B.
2000
Ratios of maximal concurrence-parameterized separability functions, and generalized Peres-Horodecki conditions. Zbl 1178.81027
Slater, Paul B.
2009
Information gains expected from separate and joint measurements of $$N$$ identical spin-1/2 systems: Noninformative Bayesian analyses. Zbl 0878.62109
Slater, Paul B.
1997
Bures and Hilbert-Schmidt $$2 \times 2$$ determinantal moments. Zbl 1267.81078
Slater, Paul B.
2012
Maximum entropy convex decompositions of doubly stochastic and nonnegative matrices. Zbl 0614.15010
Slater, P. B.
1987
Extended studies of separability functions and probabilities and the relevance of Dyson indices. Zbl 1192.81028
Slater, Paul B.
2008
Formulas for generalized two-qubit separability probabilities. Zbl 1441.81039
Slater, Paul B.
2018
Two-qubit separability probabilities as joint functions of the Bloch radii of the qubit subsystems. Zbl 1355.81039
Slater, Paul B.
2016
Formulas for generalized two-qubit separability probabilities. Zbl 1441.81039
Slater, Paul B.
2018
Invariance of bipartite separability and PPT-probabilities over Casimir invariants of reduced states. Zbl 1348.81111
Slater, Paul B.
2016
Two-qubit separability probabilities as joint functions of the Bloch radii of the qubit subsystems. Zbl 1355.81039
Slater, Paul B.
2016
Formulas for rational-valued separability probabilities of random induced generalized two-qubit states. Zbl 1337.81027
Slater, Paul B.; Dunkl, Charles F.
2015
Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities. Zbl 1375.81046
Slater, Paul B.; Dunkl, Charles F.
2015
Separability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert-Schmidt and induced measures. Zbl 1330.15041
Dunkl, Charles F.; Slater, Paul B.
2014
A concise formula for generalized two-qubit Hilbert-Schmidt separability probabilities. Zbl 1276.81018
Slater, Paul B.
2013
Moment-based evidence for simple rational-valued Hilbert-Schmidt generic $$2 \times 2$$ separability probabilities. Zbl 1241.81033
Slater, Paul B.; Dunkl, Charles F.
2012
Bures and Hilbert-Schmidt $$2 \times 2$$ determinantal moments. Zbl 1267.81078
Slater, Paul B.
2012
Eigenvalues, separability and absolute separability of two-qubit states. Zbl 1154.81003
Slater, Paul B.
2009
Ratios of maximal concurrence-parameterized separability functions, and generalized Peres-Horodecki conditions. Zbl 1178.81027
Slater, Paul B.
2009
Extended studies of separability functions and probabilities and the relevance of Dyson indices. Zbl 1192.81028
Slater, Paul B.
2008
Dyson indices and Hilbert-Schmidt separability functions and probabilities. Zbl 1128.81007
Slater, Paul B.
2007
Hilbert-Schmidt separability probabilities and noninformativity of priors. Zbl 1088.81028
Slater, Paul B.
2006
Silver mean conjectures for 15-dimensional volumes and 14-dimensional hyperareas of the separable two-qubit systems. Zbl 1065.81032
Slater, Paul B.
2005
Qubit-qutrit separability-probability ratios. Zbl 1227.81130
Slater, Paul B.
2005
Mixed state holonomies. Zbl 1022.81019
Slater, Paul B.
2002
Increased efficiency of quantum state estimation using non-separable measurements. Zbl 0989.81015
Slater, Paul B.
2001
Bures measures over the spaces of two- and three-dimensional density matrices. Zbl 0984.81062
Byrd, M. S.; Slater, P. B.
2001
Bures geometry of three-level quantum systems. Zbl 1079.81028
Slater, Paul B.
2001
Asymptotic redundancies for universal quantum coding. Zbl 0999.94019
Krattenthaler, Christian; Slater, Paul B.
2000
Monotonicity properties of certain measures over the two-level quantum systems. Zbl 1079.81532
Slater, Paul B.
2000
A priori probabilities of separable quantum states. Zbl 0946.81014
Slater, Paul B.
1999
Hall normalization constants for the Bures volumes of the $$n$$-state quantum systems. Zbl 0985.81023
Slater, Paul B.
1999
Comparative noninformativities of quantum priors based on monotone metrics. Zbl 0941.81014
Slater, Paul B.
1998
Information gains expected from separate and joint measurements of $$N$$ identical spin-1/2 systems: Noninformative Bayesian analyses. Zbl 0878.62109
Slater, Paul B.
1997
Quantum Fisher-Bures information of two-level systems and a three-level extension. Zbl 0899.60093
Slater, Paul B.
1996
Applications of quantum and classical Fisher information to two-level complex and quaternionic and three-level complex systems. Zbl 0866.62002
Slater, Paul B.
1996
The quantum Jeffrey’s prior/Bures metric volume element for squeezed thermal states and a universal coding conjecture. Zbl 1130.81356
Slater, Paul B.
1996
Maximum entropy convex decompositions of doubly stochastic and nonnegative matrices. Zbl 0614.15010
Slater, P. B.
1987
all top 5

#### Cited by 60 Authors

 17 Slater, Paul B. 5 Życzkowski, Karol 3 Dunkl, Charles F. 2 Collins, Benoît 2 Hayashi, Masahito 2 Sommers, Hans-Jürgen 1 Akhtarshenas, Seyed Javad 1 Batle, Josep 1 Brown, Jack B. 1 Brun, Todd A. 1 Byrd, Mark S. 1 Cabrera, Renan 1 Cappellini, Valerio 1 Casas, Montserrat 1 Caves, Carlton M. 1 Chase, Phillip J. 1 Chu, Wenchang 1 Cohl, Howard Saul 1 Fei, Jianjia 1 Forrester, Peter J. 1 Frey, Michael R. 1 Graham, Jeffrey 1 Hall, Michael J. W. 1 Hiesmayr, Beatrix C. 1 Hong, Seunghun 1 Horodecki, Karol 1 Horodecki, Michał 1 Horodecki, Paweł 1 Horodecki, Ryszard 1 Huber, Marcus J. 1 Joynt, Robert 1 Khvedelidze, Arsen Morisovich 1 Kieburg, Mario 1 Liu, Jing 1 Mentch, Lucas K. 1 Miller, Amy L. 1 Nagata, Koji 1 Nechita, Ion 1 Pati, Arun Kumar 1 Penson, Karol A. 1 Pittenger, Arthur O. 1 Plastino, Angel Luis 1 Plastino, Angel Ricardo 1 Rabitz, Herschel A. 1 Rogojin, I. 1 Schack, Rüdiger 1 Song, Fei 1 Spengler, Christoph 1 Strohecker, Traci 1 Sudarshan, E. C. George 1 Szarek, Stanislaw Jerzy 1 Szarek, Tomasz Jakub 1 Szymański, Konrad 1 Tilma, Todd 1 Uhlmann, Armin 1 Wang, Xiaoguang 1 Werner, Elisabeth M. 1 Wootters, William K. 1 Xiong, Heng-Na 1 Ye, Deping
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#### Cited in 21 Serials

 8 Journal of Mathematical Physics 6 Journal of Geometry and Physics 5 Physics Letters. A 4 Quantum Information Processing 4 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Physical Review A, Third Series 2 International Journal of Quantum Information 2 Advances in Mathematical Physics 1 International Journal of Theoretical Physics 1 Physica A 1 Reports on Mathematical Physics 1 Reviews of Modern Physics 1 Results in Mathematics 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 New Journal of Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Random Matrices: Theory and Applications
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#### Cited in 23 Fields

 46 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 5 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)