To Appear/Submitted

The four-dimensional Perfect-Mirsky conjecture

J. Levick, R. Pereira, D.W. Kribs

To Appear in Proceedings of the American Mathematical Society

Extending a characterization of majorization to infinite dimensions

R. Pereira, S. Plosker

To Appear in Linear Algebra and its Applications

Duality of entanglement norms

N. Johnston, D.W. Kribs

To Appear in Houston Journal of Mathematics

Quantum subsystems: exploring the complementarity between quantum error correction and quantum privacy

T. Jochym-O'Connor, D.W. Kribs, R. Laflamme, S. Plosker

To Appear in Physical Review A

Some thoughts on Gerstenhaber's theorem

J.A. Holbrook, K.C. O'Meara

Submitted

Tan's epsilon-Determinant and Ranks of Matrices Over Semirings

P. Mohindru, R. Pereira

Submitted

Taking all positive eigenvectors is suboptimal in classical multidimensional scaling

J. Tsang, R. Pereira

Submitted

Minimum entangling power is close to its maximum

D.G. Chen, Z. Ji, D.W. Kribs, B. Zeng

Submitted

Symmetric extension of two-qubit states

D.G. Chen, Z. Ji, D.W. Kribs, N. Lutkenhaus, B. Zeng

Submitted

Geometry from quantum particles

D.W. Kribs, F. Markopoulou

Submitted

On uniform deconvolution

A. Feuerverger, P.T. Kim, J. Sun

Submitted

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2017

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2016

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2015

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2014

Polynomial bounds for small matrices

M. Crouzeix, F. Gilfeather, J.A. Holbrook

Linear and Multilinear Algebra 62, 5, 614-625 (2014)

The Mathematics of Chandler Davis

J.A. Holbrook

Mathematical Intelligencer 36, 1, 6-12 (2014)

Mean-Value Inequalities for Convex Functions and the Chebysev-Vietoris Inequality

P. Fischer, Z. Slodkowski

Journal of Convex Analysis 21, 415-424 (2014)

Divisibility Properties of the Fibonacci, Lucas, and Related Sequences

T. Jeffrey, R. Pereira

ISRN Algebra , 750325 (2014)

The theory and applications of complex matrix scalings

R. Pereira, J. Boneng

Special Matrices 2, 1, 68-77 (2014)

Private quantum codes: introduction and connection with higher rank numerical ranges

D.W. Kribs, S. Plosker

Linear and Multilinear Algebra (Proc. 12th WONRA) 62, 5, 639-647 (2014)

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2013

Normal matrix compressions

J.A. Holbrook, N. Mudalige, R. Pereira

Operators and Matrices 7, 4, 847-864 (2013)

Self-dual maps and symmetric bistochastic matrices

C. O'Meara, R. Pereira

Linear and Multilinear Algebra 61, 1, 23-34 (2013)

Wielandt's theorem, spectral sets and Banach algebras

R. Pereira, S. Rush

Linear Algebra and its Applications 439, 4, 852-855 (2013)

Dirichlet polynomials, majorization, and trumping

R. Pereira, S. Plosker

Journal of Physics A: Mathematical and Theoretical 46, 22, 225302 (2013)

Unital affine semigroups

D.W. Kribs, J. Levick, R. Pereira

Linear Algebra and its Applications 439, 7, 2106-2113 (2013)

Trumping and power majorization

D.W. Kribs, R. Pereira, S. Plosker

Linear and Multilinear Algebra 61, 11, 1455-1463 (2013)

Private quantum subsystems

T. Jochym-O'Connor, D.W. Kribs, R. Laflamme, S. Plosker

Physical Review Letters 111, 030502 (2013)

Uniqueness of quantum states compatible with given measurement results

D.G. Chen, H. Dawkins, Z. Ji, N. Johnston, D.W. Kribs, F. Shultz, B. Zeng

Physical Review A 88, 012109 (2013)

Operator quantum error correction

D.W. Kribs, D. Poulin

T. Brun, D. Lidar, P. Zanardi, ed. Quantum Error Correction. Cambridge University Press, (2013)

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2012

Testing quantum states for purity

P. Jupp, P.T. Kim, J.Y. Koo, A. Pasieka

Journal of the Royal Statistical Society. Series C. Applied Statistics 61, 5, 753-763 (2012)

Restricted numerical shadow and geometry of quantum states

Z. Puchala, J.A. Miszczak, P. Gawron, C. Dunkl, J.A. Holbrook, K. Zyczkowski

Journal of Physics A: Mathematical and Theoretical 45, 415319 (2012)

No dice: a deterministic approach to the Cartan centroid

J.A. Holbrook

Journal of the Ramanujan Mathematical Society 27, 4, 509-521 (2012)

Rank reduction for the local consistency problem

D.G. Chen, Z. Ji, A. Klyachko, D.W. Kribs, B. Zeng

Journal of Mathematical Physics 53, 022202 (2012)

Ground-state spaces of frustration-free Hamiltonians

D.G. Chen, Z. Ji, D.W. Kribs, Z. Wei, B. Zeng

Journal of Mathematical Physics 53, 102201 (2012)

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2011

Generalized multiplicative domains and quantum error correction

N. Johnston, D.W. Kribs

Proceedings of the American Mathematical Society 139, 2, 627-639 (2011)

A family of norms with applications in quantum information theory II

N. Johnston, D.W. Kribs

Quantum Information & Computation 11, 104-123 (2011)

Majorization and multiplier sequences

A. Church, R. Pereira, D.W. Kribs

Linear Algebra and its Applications 435, 9, 2132-2139 (2011)

Characterizing Operations Preserving Separability Measures via Linear Preserver Problems

N. Johnston

Linear Algebra and its Applications 59, 1171-1187 (2011)

Bijective linear rank preservers for spaces of matrices over antinegative semirings

R. Pereira

Linear Algebra and its Applications 435, 7, 1666-1671 (2011)

Numerical shadows: measures and densities on the numerical range

C. Dunkl, P. Gawron, J.A. Holbrook, Z. Puchala, K. Zyczkowski

Linear Algebra and its Applications 434, 2042-2080 (2011)

Numerical shadow and geometry of quantum states

C. Dunkl, P. Gawron, J.A. Holbrook, J.A. Miszczak, Z. Puchala, K. Zyczkowski

Journal of Physics A: Mathematical and Theoretical 44, 335301 (2011)

Minimal and maximal operator spaces and operator systems in entanglement theory

N. Johnston, D.W. Kribs, V. Paulsen, R. Pereira

Journal of Functional Analysis 260, 8, 2407-2423 (2011)

Private quantum channels, conditional expectations, and trace vectors

A. Church, D.W. Kribs, R. Pereira, S. Plosker

Quantum Information & Computation 11, 9-10, 774-783 (2011)

Quantum gate fidelity in terms of Choi matrices

N. Johnston, D.W. Kribs

Journal of Physics A: Mathematical and Theoretical 44, 495503 (2011)

A family of norms with applications in entanglement theory

N. Johnston, D.W. Kribs

2011 ICO International Conference on Information Photonics , 1-2 (2011)

Zero-error subspaces for quantum channels

S.L. Braunstein, D.W. Kribs, M.K. Patra

2011 IEEE International Symposium on Information Theory (ISIT) , 104-108 (2011)

Borcea's variance conjectures on the critical points of polynomials

D. Khavinson, R. Pereira, M. Putinar, E.B. Saff, S. Shimorin

P. Branden, M. Passare and M. Putinar, ed. Notions of positivity and the geometry of polynomials. Basel, Birkh�user Basel, 283-309 (2011)

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2010

A family of norms with applications in quantum information theory

N. Johnston, D.W. Kribs

Journal of Mathematical Physics 51, 082202 (2010)

Anticoherent spin states and spherical designs

J. Crann, R. Pereira, D.W. Kribs

Journal of Physics A: Mathematical and Theoretical 43, 255307 (2010)

Schmidt Operator Norms and Entanglement Theory

N. Johnston, D.W. Kribs

Fourth International Conference on Quantum, Nano and Micro Technologies, 92-95 (2010)

Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices

J.A. Holbrook, J.-P. Schoch

Operator Theory: Advances and Applications 202, 273-284 (2010)

On Malamud Majorization and the Extreme Points of its Level Sets

P. Fischer, H. Sendov

Journal of Convex Analysis 17, No. 2, 485-507 (2010)

Quantum state reduction for universal measurement based computation

X. Chen, R. Duan, Z. Ji, B. Zeng

Physical Review Letters 105, No. 2, 020502 (2010)

Optical one-way quantum computing with a simulated valence-bond solid

R. Kaltenbaek, J. Lavoie, B. Zeng, S.D. Bartlett

Nature Physics 6, 850-854 (2010)

Tensor product representation of a topological ordered phase: Necessary symmetry conditions

X. Chen, B. Zeng, Z.-C. Gu, I.L. Chuang, X.-G. Wen

Physical Review B 82, 165119 (2010)

The B36/S125 "2x2" Life-Like Cellular Automaton

N. Johnston

A. Adamatzky, ed. Game of Life Cellular Automata. UK, Springer, 99-114 (2010)

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2009

On the geometric interpretation of single qubit quantum operations on the Bloch sphere

A. Pasieka, D.W. Kribs, R. Laflamme, R. Pereira

Acta Applicandae Mathematicae 108, Number 3, 697-707 (2009)

Computing stabilized norms for quantum operations via the theory of completely bounded maps

N. Johnston, D.W. Kribs, V. Paulsen

Quantum Information & Computation 9, 1&2, 16-35 (2009)

Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction

N. Johnston, D.W. Kribs, C.-W. Teng

Acta Applicandae Mathematicae, (2009)

Weyl eigenvalue asymptotics and sharp adaptation on vector bundles

P.T. Kim, J.Y. Koo, Z. Luo

Journal of Multivariate Analysis 100, Issue 9, 1962-1978 (2009)

Deconvolution on the Euclidean motion group and planar robotic manipulator design

P.T. Kim, Y. Liu, Z. Luo, Y. Wang

Robotica, (2009)

Product inequalities for norms of linear factors

R. Pereira

Journal of Mathematical Analysis and Applications 356, Issue 1, 208-210 (2009)

Research problems on numerical ranges in quantum computing

D.W. Kribs, A. Pasieka, M. Laforest, C. Ryan, M.P. da Silva

Linear and Multilinear Algebra 57, Issue 5, 491 - 502 (2009)

Quantum error correction on infinite-dimensional Hilbert spaces

C. Beny, A. Kempf, D.W. Kribs

Journal of Mathematical Physics 50, 062108 (2009)

The multiplicative domain in quantum error correction

M.-D. Choi, N. Johnston, D.W. Kribs

Journal of Physics A: Mathematical and Theoretical 42, No. 24, 245303 (2009)

Optical Implementation of a Unitarily Correctable Code

K.M. Schreiter, A. Pasieka, R. Kaltenbaek, K.J. Resch, D.W. Kribs

Physical Review A 80, 022311 (2009)

Gapped two-body Hamiltonian whose unique ground state is universal for one-way quantum computation

X. Chen, B. Zeng, Z.-C. Gu, B. Yoshida, I.L. Chuang

Physical Review Letters 102, No. 22, 220501 (2009)

Generalized concatenated quantum codes

M. Grassl, P. Shor, G. Smith, J. Smolin, B. Zeng

Physical Review A 79, No. 5, 050306(R) (2009)

Codeword stabilized quantum codes: Algorithm & Structure

I.L. Chuang, A.W. Cross, G. Smith, J. Smolin, B. Zeng

Journal of Mathematical Physics 50, No. 4, 042109 (2009)

Extreme points and optimal measures

M. Hladnik, J.A. Holbrook

Linear Algebra and its Applications 430, 2533-2561 (2009)

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2008

Geometry of higher-rank numerical ranges

M.-D. Choi, M. Giesinger, J.A. Holbrook, D.W. Kribs

Linear and Multilinear Algebra 56, 1&2, 53 - 64 (2008)

Sharp adaptation for spherical inverse problems with applications to medical imaging

J.Y. Koo, P.T. Kim

Journal of Multivariate Analysis 99, 2, 165-190 (2008)

Vitamin D From Dietary Intake and Sunlight Exposure and the Risk of Hormone-Receptor-Defined Breast Cancer

K.M. Blackmore, M. Lesosky, H. Barnett, J.M. Raboud, R. Vieth, J.A. Knight

American Journal of Epidemiology 168, 8, 915-924 (2008)

Association of vitamin D-related information from a telephone interview with 25-hydroxyvitamin D

H. Sahota, H. Barnett, M. Lesosky, J.M. Raboud, R. Vieth, J.A. Knight

Cancer Epidemiology Biomarkers & Prevention 17, 232-238 (2008)

Scalable protocol for identification of correctable codes

M.P. da Silva, E. Magesan, D.W. Kribs, J. Emerson

Physical Review A 78, 012347 (2008)

Complementarity of private and correctable subsystems in quantum cryptography and error correction

D. Kretschmann, D.W. Kribs, R.W. Spekkens

Physical Review A 78, 032330 (2008)

Stepwise feature selection using generalized logistic loss

C.H. Park, J.Y. Koo, P.T. Kim, J.W. Lee

Computational Statistics and Data Analysis 52, 7, 3709-3718 (2008)

Asymptotic minimax bounds for stochastic deconvolution over groups

J.Y. Koo, P.T. Kim

IEEE Transactions on Information Theory 54, 289 - 298 (2008)

Algebraic Formulation of Quantum Error Correction

C. Beny, D.W. Kribs, A. Pasieka

International Journal of Quantum Information: Noise, Information and Complexity at Quantum Scale 6, 1 supp, 597 - 603 (2008)

Regularized deconvolution on the 2D-Euclidean motion group

M. Lesosky, P.T. Kim, D.W. Kribs

Inverse Problems 24, 055017 (2008)

Entropy of a quantum error correction code

D.W. Kribs, A. Pasieka, K. Zyczkowski

Open Systems & Information Dynamics 15, 4, 329 - 343 (2008)

On the Hadamard inequality

P. Fischer, Z. Slodkowski

Studia Scientiarum Mathematicarum Hungarica 45, No. 4, 531-547 (2008)

Nonbinary codeword stabilized quantum codes

X. Chen, B. Zeng, I.L. Chuang

Physical Review A 78, No. 6, 062315 (2008)

Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit

X. Chen, H. Chung, A.W. Cross, B. Zeng, I.L. Chuang

Physical Review A 78, No. 1, 012353 (2008)

Semi-Clifford operations, structure of Ck hierarchy and gate complexity for fault-tolerant quantum computation

B. Zeng, X. Chen, I.L. Chuang

Physical Review A 77, No. 4, 042313 (2008)

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2007

Higher-rank numerical ranges of unitary and normal matrices

M.-D. Choi, J.A. Holbrook, D.W. Kribs, K. Zyczkowski

Operators and Matrices 1, 3, 409-426 (2007)

Decoherence-insensitive quantum communication with optimal C*-encoding

B. Bodmann, V. Paulsen, D.W. Kribs

IEEE Transactions on Information Theory 53, 12, 4738 - 4749 (2007)

Ovarian cysts and breast cancer: results from the Women's Contraceptive and Reproductive Experience Study

J.A. Knight, M. Lesosky, K.M. Blackmore, L.F. Voigt, V.L. Holt, L. Bernstein, P.A. Marchbanks, R.T. Burkman, J.R. Daling, A.S. Whittenmore

Breast Cancer Research and Treatment , (2007)

An estimate of the proportion of symptoms reported in self-administered questionnaires that are captured as adverse drug events in an observational database

J.M. Raboud, M. Lesosky, S. Sterling, E. Phillips, S. Walmsley, A. Bayoumi

HIV Clinical Trials 8, 5, 311-319 (2007)

A statistical approach to persistent homology

P. Bubenik, P.T. Kim

Homology, Homotopy and Applications 9, 2, 337-362 (2007)

Generalization of Quantum Error Correction via the Heisenberg Picture

C. Beny, A. Kempf, D.W. Kribs

Physical Review Letters 98, 100502 (2007)

Vitamin D and Reduced Risk of Breast Cancer: A Population-Based Case-Control Study

J.A. Knight, M. Lesosky, H. Barnett, J.M. Raboud, R. Vieth

Cancer Epidemiology Biomarkers & Prevention 16, 422-429 (2007)

A class of limit algebras associated with directed graphs

D.W. Kribs, B. Solel

Journal of the Australian Mathematical Society 82, 345-368 (2007)

Weak log-majorization, Mahler measure and polynomial inequalities

R. Pereira

Linear Algebra and its Applications 421, 117-121 (2007)

Nilpotent matrices and spectrally arbitrary sign patterns

R. Pereira

Electronic Journal of Linear Algebra 16, 232-236 (2007)

Quantum Error Correction of Observables

C. Beny, A. Kempf, D.W. Kribs

Physical Review A 76, 042303 (2007)

Experimental identification of noiseless encodings for twirled channels

M.P. da Silva, E. Magesan, D.W. Kribs, J. Emerson

Asian Conference on Quantum Information Science (AQIS) 1, 99-100 (2007)

Moving zeros among matrices

J.A. Holbrook, J.-P. Schoch

Linear Algebra and its Applications 424, 1, 83-95 (2007)

Local unitary versus local Clifford equivalence of stabilizer and graph states

B. Zeng, H. Chung, A.W. Cross, I.L. Chuang

Physical Review A 75, No. 3, 032325 (2007)

Densities for random balanced sampling

P. Bubenik, J.A. Holbrook

Journal of Multivariate Analysis 98, 350-369 (2007)

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2006

Quantum error correcting subsystems are unitarily recoverable subsystems

D.W. Kribs, R.W. Spekkens

Physical Review A 74, 042329 (2006)

Higher rank numerical ranges and compression problems

M.-D. Choi, D.W. Kribs, K. Zyczkowski

Linear Algebra and its Applications 418, 828-839 (2006)

The C*-envelope of the tensor algebra of a directed graph

E. Katsoulis, D.W. Kribs

Integral Equations and Operator Theory 56, 401-414 (2006)

The H^infty algebras of higher rank graphs

D.W. Kribs, S.C. Power

Mathematical Proceedings of the Royal Irish Academy 106, 199-218 (2006)

Quantum error correcting codes from the compression formalism

M.-D. Choi, D.W. Kribs, K. Zyczkowski

Reports on Mathematical Physics 58, 77-91 (2006)

Higher principal bundles

J.F. Jardine, Z. Luo

Mathematical Proceedings of the Cambridge Philosophical Society 140, 221-243 (2006)

A method to find quantum noiseless subsystems

M.-D. Choi, D.W. Kribs

Physical Review Letters 96, 050501 (2006)

Tensor algebras of C*-correspondences and their C*-envelopes

E. Katsoulis, D.W. Kribs

Journal of Functional Analysis 234, 226-233 (2006)

A brief introduction to operator quantum error correction

D.W. Kribs

Contemporary Mathematics, American Mathematical Society 414, 27-34 (2006)

Operator quantum error correction

D.W. Kribs, R. Laflamme, D. Poulin, M. Lesosky

Quantum Information & Computation 6, 382-399 (2006)

Riemannian geometry and matrix geometric means

R. Bhatia, J.A. Holbrook

Linear Algebra and its Applications 413, 2-3, 594-618 (2006)

Noncommutative geometric means

R. Bhatia, J.A. Holbrook

Mathematical Intelligencer 28, 1, 32-39 (2006)

Representing conditional expectations as elementary operators

R. Pereira

Proceedings of the American Mathematical Society 134, 253-258 (2006)

Inequalities for the spectra of symmetric doubly stochastic matrices

R. Pereira, M.A. Vali

Linear Algebra and its Applications 419, 643-647 (2006)

Plane maps, singularities and quasi-fixed points

P. Fischer, D. Gillis

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16, No. 1, 179-183 (2006)

Multiparty correlation measure based on the cumulant

D.L. Zhou, B. Zeng, Z. Xu, L. You

Physical Review A 74, No. 5, 052110 (2006)

Quantum information cannot be split into complementary parts

D.L. Zhou, B. Zeng, L. You

Physics Letters A 352, 41-44 (2006)

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2005

Symmetry and Bayesian function estimation

J.F. Angers, P.T. Kim

Calcutta Statistical Association Bulletin 56, 57-80 (2005)

Multivariate Bayesian function estimation

J.F. Angers, P.T. Kim

Annals of Statistics 33, 2967-2999 (2005)

Statistical inverse problems on manifolds

P.T. Kim, J.Y. Koo

Journal of Fourier Analysis and Applications 11, 639-653 (2005)

Concomitant information in bioassay and semiparametric estimation

P.T. Kim, C.H. Lee

Statistics in Medicine 24, 1421-1433 (2005)

A unified and generalized approach to quantum error correction

D.W. Kribs, R. Laflamme, D. Poulin

Physical Review Letters 94, 180501 (2005)

A quantum computing primer for operator theorists

D.W. Kribs

Linear Algebra and its Applications 400, 147-167 (2005)

Universal collective rotation channels and quantum error correction

M. Junge, P.T. Kim, D.W. Kribs

Journal of Mathematical Physics 46, 022102 (2005)

Applications of the Wold decomposition to the study of row contractions associated with directed graphs

E. Katsoulis, D.W. Kribs

Transactions of the American Mathematical Society 357, 3739-3755 (2005)

Noiseless subsystems for collective rotation channels in quantum information theory

J.A. Holbrook, D.W. Kribs, R. Laflamme, D. Poulin

Integral Equations and Operator Theory 51, 215-234 (2005)

Ideal structure in free semigroupoid algebras from directed graphs

M.T. Jury, D.W. Kribs

Journal of Operator Theory 53, 273-302 (2005)

Partially isometric dilations of noncommuting N-tuples of operators

M.T. Jury, D.W. Kribs

Proceedings of the American Mathematical Society 133, 213-222 (2005)

Optimal measures for Toeplitz matrices

M. Hladnik, J.A. Holbrook

Linear Algebra and its Applications 402, 319-334 (2005)

On the spans of polynomials and their derivatives

R. Pereira

Journal of Mathematical Analysis and Applications 306, 425-431 (2005)

Matrix-theoretical derivations of some results of Borcea-Shapiro on hyperbolic polynomials

R. Pereira

Comptes Rendus de l'Académie des Sciences, Série I - Mathematique 341, 651-653 (2005)

Mean Value inequalities for convex and star-shaped sets

P. Fischer, Z. Slodkowski

Aequationes Mathematicae 70, No. 3, 213-224 (2005)

N-qubit entanglement via the Jy2-type collective interaction

D.L. Zhou, B. Zeng, J.S. Tang, Z. Xu, L. You

Physics Letters A 345, 38-44 (2005)

Measuring the parity of an n-qubit state

B. Zeng, D.L. Zhou, L. You

Physical Review Letters 95, No. 11, 110502 (2005)

Entanglement and spin-squeezing properties for three bosons in two modes

B. Zeng, D.L. Zhou, Z. Xu, L. You

Physical Review A 71, No. 4, 042317 (2005)

Encoding a logical qubit into physical qubits

B. Zeng, D.L. Zhou, Z. Xu, C.P. Sun, L. You

Physical Review A 71, No. 2, 022309 (2005)

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2004

Directional log-density estimation

J. Huh, P.T. Kim, J.Y. Koo

Journal of the Korean Statistical Association 33, 255-269 (2004)

Rotational matching problems

G.S. Chirikjian, P.T. Kim, C.H. Lee

International Journal of Computational Intelligence and Applications 4, 401-416 (2004)

Sharp minimax and spherical deconvolution for super-smooth error distributions

P.T. Kim, J.Y. Koo, H.J. Park

Journal of Multivariate Analysis 90, 384-392 (2004)

Isomorphisms of algebras associated with directed graphs

E. Katsoulis, D.W. Kribs

Mathematische Annalen 330, 709-728 (2004)

Partly free algebras from directed graphs

D.W. Kribs, S.C. Power

Operator Theory: Advances and Applications 149, 381-393 (2004)

Free semigroupoid algebras

D.W. Kribs, S.C. Power

Journal of the Ramanujan Mathematical Society 19, 75-117 (2004)

Non-selfadjoint operator algebras generated by weighted shifts on Fock space

D.W. Kribs

Houston Journal of Mathematics 30, 147-169 (2004)

Noiseless subsystems and the structure of the commutant in quantum error correction

J.A. Holbrook, D.W. Kribs, R. Laflamme

Quantum Information Processing 2, 381-419 (2004)

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2003

On bilateral weighted shifts in noncommutative multivariable operator theory

D.W. Kribs

Indiana University Mathematics Journal 52, 1595-1614 (2003)

The intrinsic distribution and selection bias of long-period cometary orbits

P. Jupp, P.T. Kim, J.Y. Koo, P. Wiegert

Journal of the American Statistical Association 98, 515-521 (2003)

Quantum channels, wavelets, dilations, and representations of O_n

D.W. Kribs

Proceedings of the Edinburgh Mathematical Society 46, 421-433 (2003)

Wavelet representations and Fock space on positive matrices

P.E.T. Jorgensen, D.W. Kribs

Journal of Functional Analysis 197, 526-559 (2003)

Fat diagonals and Fourier analysis

M. Hladnik, J.A. Holbrook, S. Serra Capizzano

SIAM Journal on Matrix Analysis and Applications 24, 4, 1060-1070 (2003)

A very mean value theorem

J.A. Holbrook, S.S. Kim

Mathematical Intelligencer 25, 1, 42-47 (2003)

Differentiators and the geometry of polynomials

R. Pereira

Journal of Mathematical Analysis and Applications 285, 336-348 (2003)

Quantum computation based on d-level cluster states

D.L. Zhou, B. Zeng, Z. Xu, C.P. Sun

Physical Review A 68, No. 6, 062303 (2003)

Criterion for testing multiparticle negative-partial-transpose entanglement

B. Zeng, D.L. Zhou, P. Zhang, Z. Xu, L. You

Physical Review A 68, No. 4, 042316 (2003)

Rotational matching and error bound calculations

G.S. Chirikjian, P.T. Kim, C.H. Lee

P.P. Wang, ed. Proceedings of the 7th Joint Conference on Information Scienes. 938-941 (2003)

Consistent and efficient density estimation

H. Hendriks, P.T. Kim

M.L. Gavrilova, V. Kumar, P. L�Ecuyer and C.J.K. Tan, ed. Springer-Verlag Lecture Notes in Computer Science: ICCSA 2003. Berlin, Springer, 388-397 (2003)

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2002

Inductive limit algebras from periodic weighted shifts on Fock space

D.W. Kribs

New York Journal of Mathematics 8, 145-159 (2002)

Optimal spherical deconvolution

P.T. Kim, J.Y. Koo

Journal of Multivariate Analysis 80, 1, 21-41 (2002)

Convergence of Koenigs' sequences

D. Dewsnap, P. Fischer

Real Analysis Exchange 28, No. 1, 111-120 (2002)

High-dimensional multi-particle cat-like state teleportation

B. Zeng, X.S. Liu, Y.S. Li, G.L. Long

Communications in Theoretical Physics 38, No. 5, 537 (2002)

Entanglement properties of some fractional quantum Hall liquids

B. Zeng, H. Zhai, Z. Xu

Physical Review A 66, No. 4, 042324 (2002)

Closure of orbits and dynamical symmetry of screened Coulomb potential and isotropic harmonic oscillator

B. Zeng, J.Y. Zeng

Journal of Mathematical Physics 43, 897-903 (2002)

Remote-state preparation in higher dimension and the parallelizable manifold Sn-1

B. Zeng, P. Zhang

Physical Review A 65, No. 2, 022316 (2002)

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2001

Isometric dilations of non-commuting finite rank n-tuples

K.R. Davidson, D.W. Kribs, M.E. Shpigel

Canadian Journal of Mathematics 53, 506-545 (2001)

Deconvolution density estimation on compact Lie groups

P.T. Kim, D. Richards

Contemporary Mathematics, American Mathematical Society 287, (2001)

Approximating commuting operators

J.A. Holbrook, M. Omladic

Linear Algebra and its Applications 327, 1-3, 131-149 (2001)

Schur norms and the multivariate von Neumann inequality

J.A. Holbrook

Operator Theory: Advances and Applications 127, 375-386 (2001)

Monotonicity of the integral mean and convex functions

P. Fischer, Z. Slodkowski

Journal of Convex Analysis 8, No. 2, 489-509 (2001)

Entanglement in a two-identical-particle system

Y.S. Li, B. Zeng, X.S. Liu, G.L. Long

Physical Review A 64, No. 5, 054302 (2001)

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2000

Directional mixture models and optimal estimation of the mixing density

P.T. Kim, J.Y. Koo

Canadian Journal of Statistics 28, 383-398 (2000)

Fréchet derivatives of the power function

R. Bhatia, J.A. Holbrook

Indiana University Mathematics Journal 49, 3, 1155-1173 (2000)

Bertrand's paradox revisited

J.A. Holbrook, S.S. Kim

Mathematical Intelligencer 22, 4, 16-19 (2000)

On the characteristic function of the von Mises-Fisher matrix distribution

P.T. Kim

E. Gine, D.M. Mason and J.A. Wellner, ed. High Dimensional Probability II. Boston, Birkhauser, 477-492 (2000)

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1999

Hierarchial Bayes estimation of relative potency

D.G. Chen, E.M. Carter, J.J Hubert, P.T. Kim

Biometrics 55, 108-113 (1999)

On the operator equation AX=XAX

J.A. Holbrook, E. Nordren, H. Radjavi, P. Rosenthal

Linear Algebra and its Applications 295, 1-3, 113-116 (1999)

Interval Maps and Koenigs' sequences

D. Dewsnap, P. Fischer

Real Analysis Exchange 25, No. 1, 205-221 (1999)

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1998

Deconvolution density estimation on SO(N)

P.T. Kim

Annals of Statistics 26, 1083-1102 (1998)

On Hotelling's approach to hypothesis testing when a nuisance parameter is present only under the alternative

P.T. Kim, Q. Li, D.Q. Naiman, T. Stengos

Journal of Economic Theory and Econometrics 4, 105-130 (1998)

Self-organisation of cryoelectron micrographs of the phosphoenolpyruvate synthase from Staphylothermus marinus

H. Zuzan, J.A. Holbrook, P.T. Kim, G. Harauz

Optik 109, 181-189 (1998)

Spherical Deconvolution

D.M. Healy, H. Hendriks, P.T. Kim

Journal of Multivariate Analysis 67, 1-22 (1998)

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1997

Self-organizing feature maps on general topologies

J.A. Holbrook, G. Harauz, P.T. Kim, H. Zuzan

Ultramicroscopy 68, 201-214 (1997)

Ambient NOx trends in urban sites

T. Dann, J. Fuentes, P.T. Kim

T. Dann and P. Summers, ed. Ground-Level Ozone and its Precursors: 1980-1993. Ottawa, Environment Canada, 219-222 (1997)

Finite Sample Robustness of Tests: An Overview

T. Kariya, P.T. Kim

C.R. Rao and G.S. Maddala, ed. Handbook of Statistics 15: Robust Inference. Amsterdam, 645-660 (1997)

Principal components analysis and trends in mean and daily maximum ozone

T. Dann, J. Fuentes, P.T. Kim

T. Dann and P. Summers, ed. Ground-Level Ozone and its Precursors: 1980-1993. Ottawa, Environment Canada, 230-240 (1997)

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1996

An empirical Bayes approach to directional data and efficient computation on the sphere

D.M. Healy, P.T. Kim

Annals of Statistics 24, 232-254 (1996)

Statistical sampling and fractal distributions

K. Gerow, J.A. Holbrook

Mathematical Intelligencer 18, 2, 12-22 (1996)

Maximal spectral distance

J.A. Holbrook, M. Omladic, P. Semrl

Linear Algebra and its Applications 249, 197-205 (1996)

Ergodic invariant probability measures and entire functions

J.P.R. Christensen, P. Fischer

Acta Mathematica Hungarica 73, No. 3, 213-218 (1996)

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1995

Assessing geometric integrity using spherical regression techniques

G.R. Chapman, D.G. Chen, P.T. Kim, F. Hulting, K. Tsui, L.P. Rivest

Statistica Sinica 5, 173-220 (1995)

SECReT of the Eukaryotic large ribosomal subunit

G. Harauz, H. Zuzan, P.T. Kim, J.A. Holbrook

Biochemical and Biophysical Research Communications 207, 848-851 (1995)

Interpenetration of ellipsoids and the polynomial bound of a matrix

J.A. Holbrook

Linear Algebra and its Applications 229, 151-166 (1995)

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1994

Asymptotic normality of cumulant spectral estimates

P.T. Kim

Economic Studies Quarterly 45, 601-613 (1994)

Linear independence of iterates and meromorphic solutions of functional equations

J.P.R. Christensen, P. Fischer

Proceedings of the American Mathematical Society 120, 1137-1143 (1994)

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1993

Shrinkage estimation of relative potency

P.T. Kim, E.M. Carter, J.J Hubert, K.J. Hand

Journal of the American Statistical Association 88, 615-621 (1993)

Group action on a lattice and an application to time series analysis

P.T. Kim, G.R. Chapman

Journal of Statistical Planning and Inference 34, 183-195 (1993)

Multidimensional stochastic matrices and error-correcting codes

J.P.R. Christensen, P. Fischer

Linear Algebra and its Applications 183, 255-276 (1993)

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1992

General estimation of relative potency using prior information

P.T. Kim, G.W. Cho, E.M. Carter, J.J Hubert

Journal of Biopharmaceutical Statistics 2, 191-200 (1992)

Inequalities of von Neumann type for small matrices

J.A. Holbrook

Lecture Notes in Pure and Applied Mathematics 136, 189-193 (1992)

Spectral variation of normal matrices

J.A. Holbrook

Linear Algebra and its Applications 174, 131-141 (1992)

Quality assurance and spherical regression

G.R. Chapman, P.T. Kim

ASA Proceedings of the Section on Engineering and Physcial Systems, 5-13 (1992)

Functions operating on positive-definite symmetric matrices

P. Fischer, J. Stegeman

Journal of Mathematical Analysis and Applications 171, No. 2, 461-470 (1992)

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1991

Consistent estimation of the fourth order cumulant spectral density

P.T. Kim

Journal of Time Series Analysis 12, 63-71 (1991)

Decision theorectic analysis of spherical regression

P.T. Kim

Journal of Multivariate Analysis 38, 233-240 (1991)

Estimating relative potency using prior information

P.T. Kim, E.M. Carter, J.J Hubert

Biometrics 47, 295-301 (1991)

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1989

Estimation of product moments of a stationary stochastic process with application to estimation of cumulants and cumulant spectral densities

P.T. Kim

Canadian Journal of Statistics 17, 285-299 (1989)

A softer, stronger Lidskii theorem

R. Bhatia, J.A. Holbrook

Proceedings of the Indian Academy of Sciences - Mathematical Sciences 99, 75-83 (1989)

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Preprints

Multi-Error-Correcting Amplitude Damping Codes

R. Duan, M. Grassl, Z. Ji, B. Zeng

Proceedings of 2010 IEEE International Symposium on Information Theory, (2010)

Generalized concatenation for quantum codes

M. Grassl, P. Shor, B. Zeng

Proceedings of 2009 IEEE International Symposium on Information Theory, (2009)

Deconvolution density estimation on spaces of positive definite symmetric matrices

P.T. Kim, D. Richards

Preprint (2007)

A unified framework for graph algebras and quantum causal histories

D.W. Kribs

Preprint (2005)

Minimax SO(N)-Deconvolution

P.T. Kim

Preprint (1999)

Neural network models of the spot Canadian/US exchange rate

P.T. Kim, L. Pan, T. Wirjanto

Preprint (1999)

Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba

P.T. Kim

Preprint (1999)

Resampling in neural network with application to exchange-rate data

P.T. Kim, L. Pan, T. Wirjanto

Preprint (1999)

Astrophysics and directional exponential smoothing

J. Huh, P.T. Kim, J.Y. Koo

Preprint (1998)

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