Professor David Kribs
Professor David Kribs
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Publications

Most of my papers are posted on the ArXiv.org E-print Archive. Disclaimer: Please see the original journal article for the final version. Also see Google Scholar for citations of my articles.

Peer Reviewed Publications

(Published, Accepted, or Submitted — as of August 2023)
  1. G. Dauphinais, D.W. Kribs, M. Vasmer, Stabilizer formalism for operator algebra quantum error correction, submitted for publication.
  2. D.W. Kribs, J. Levick, R. Pereira, M. Rahaman, Operator algebra generalization of a theorem of Watrous and mixed unitary channels, submitted for publication.
  3. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, Chordal graphs and distinguishability of quantum product states, submitted for publication.
  4. N. Cao, J. Lin, D.W. Kribs, Y.-T. Poon, B. Zeng, R. Laflamme, NISQ: error correction, mitigation, and noise simulation, submitted for publication.
  5. D.W. Kribs, J. Levick, R. Pereira, M. Rahaman, Entanglement breaking rank via complimentary channels and multiplicative domains, Operator Theory: Advances and Applications, to appear.
  6. A. Conlon, J. Crann, D.W. Kribs, R.H. Levene, Quantum teleportation in the commuting operator framework, Annales Henri Poincare, 24 (2023), 1779-1821.
  7. J. Crann, D.W. Kribs, R. Pereira, Orthogonal unitary matrices and a subfactor conjecture, Proceedings of the American Mathematical Society, 151 (2023), 3793-3799.
  8. D. Ashlock, C. Gregor, G.A. Ruz, D. MacKinnon, D.W. Kribs, A novel linear representation for evolving matrices, Soft Computing, 26 (2022), 6645-6657.
  9. J. Ahiable, D.W. Kribs, J. Levick, R. Pereira, M. Rahaman, Entanglement breaking channels, stochastic matrices, and primitivity, Linear Algebra and its Applications, 629 (2021), 219-231.
  10. D.W. Kribs, J. Levick, K. Olfert, R. Pereira, M. Rahaman, Nullspaces of entanglement breaking channels and applications, Journal of Physics A: Mathematical & Theoretical, 54 (2021), 105303.
  11. D.W. Kribs, J. Levick, M. Nelson, R. Pereira, M. Rahaman, Approximate quasiorthogonality of operator algebras and relative quantum privacy, Reports on Mathematical Physics, 87 (2021), 167-181.
  12. D.W. Kribs, D. Mammarella, R. Pereira, Isoclinic subspaces and quantum error correction, Operators and Matrices, 15 (2021), 571-580.
  13. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, Operator and graph theoretic techniques for distinguishing quantum states via one-way LOCC, Applied Sciences, 11 (2021), 9542.
  14. N. Cao, D.W. Kribs, C.-K. Li, M. Nelson, Y.-T. Poon, B. Zeng, Higher rank matricial ranges and hybrid quantum error correction, Linear and Multilinear Algebra, 69 (2021), 827-839.
  15. J. Crann, D.W. Kribs, R.H. Levene, I.G. Todorov, State convertibility in the von Neumann algebra framework, Communications in Mathematical Physics, 378 (2020), 1123-1156.
  16. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, Vector representations of graphs and distinguishing quantum product states with one-way LOCC, Linear Algebra and its Applications, 602 (2020), 223-239.
  17. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, One-way LOCC indistinguishable lattice states via operator structures, Quantum Information Processing, 19 (2020), 194.
  18. J. Li, Z. Luo, T. Xin, H. Wang, D. Kribs, D. Lu, B. Zeng, R. Laflamme, Experimental implementation of efficient quantum pseudorandomness on a 12-spin system, Physical Review Letters, 123, 030502 (2019).
  19. M. Kazakov, D.W. Kribs, R. Pereira, Real higher-rank numerical ranges and ellipsoids, Linear Algebra and its Applications, 577 (2019), 204-213.
  20. D.W. Kribs, J. Levick, M. Nelson, R. Pereira, M. Rahaman, Quantum complementarity and operator structures, Quantum Information & Computation, 19 (2019), 67-83.
  21. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, Quantum error correction and one-way LOCC, Journal of Mathematical Physics, 60 (2019), 032202.
  22. J. Chen, Z. Ji, D.W. Kribs, B. Zeng, Minimum entangling power is close to its maximum, Journal of Physics A: Mathematical & Theoretical, 52 (2019), 215302.
  23. D.W. Kribs, J. Levick, R. Pereira, Quantum privacy and Schur product channels, Reports on Mathematical Physics, 80 (2017), 333-347.
  24. D.W. Kribs, C. Mintah, M. Nathanson, R. Pereira, Operator structures and quantum LOCC conditions, Journal of Mathematical Physics, 58 (2017), 092201.
  25. D.W. Kribs, R.H. Levene, S.C. Power, Commutants of weighted shift directed graph operator algebras, Proceedings of the American Mathematical Society, 145 (2017), 3465-3480.
  26. H. Wang, W. Zheng, N. Yu, K. Li, D. Lu, T. Xin, C. Li, Z. Ji, D. Kribs, B. Zeng, X. Peng, J. Du, Quantum state and process tomography via adaptive measurements, Science China: Physics, Mechanics & Astronomy, 59 (2016), 1-8.
  27. D.W. Kribs, J. Levick, R. Pereira, Totally positive density matrices and linear preservers, Electronic Journal of Linear Algebra, 33 (2016), 313-320.
  28. J. Crann, D.W. Kribs, R.H. Levene, I.G. Todorov, Private algebras in quantum information and infinite-dimensional complementarity, Journal of Mathematical Physics, 57, 015208 (2016).
  29. J. Levick, T. Jochym-O’Connor, D.W. Kribs, R. Laflamme, R. Pereira, Private quantum subsystems and quasiorthogonal operator algebras, Journal of Physics A: Mathematical & Theoretical, 49, 125302 (2016).
  30. X. Ma, T. Jackson, H. Zhou, J. Chen, D. Lu, M.D. Mazurek, K.A.G. Fisher, X. Peng, D.W. Kribs, K.J. Resch, Z. Ji, B. Zeng, R. Laflamme, Pure state tomography with expectation value of Pauli operators, Physical Review A, 93, 032140 (2016).
  31. N. Johnston, D.W. Kribs, Duality of entanglement norms, Houston Journal of Mathematics, 41 (2015), 831-847.
  32. J. Levick, R. Pereira, D.W. Kribs,The four dimensional Perfect-Mirsky conjecture, Proceedings of the American Mathematical Society, 143 (2015), 1951-1956.
  33. T. Jochym-O’Connor, D.W. Kribs, R. Laflamme, S. Plosker, Quantum subsystems: exploring the complementarity between quantum error correction and quantum privacy, Physical Review A, 90, 032305 (2014).
  34. J. Chen, Z. Ji, D.W. Kribs, N. Lutkenhaus, B. Zeng, Symmetric extension of two-qubit states, Physical Review A, 90, 032318 (2014).
  35. D.W. Kribs, S. Plosker, Private quantum codes: introduction and connection with higher rank numerical ranges, Linear and Multilinear Algebra, 62 (2014), 639-647.
  36. J. Chen, H. Dawkins, Z. Ji, N. Johnston, D.W. Kribs, F. Shultz, B. Zeng, Uniqueness of quantum states compatible with given measurement results, Physical Review A, 88, 012109 (2013).
  37. T. Jochym-O’Connor, D.W. Kribs, R. Laflamme, S. Plosker, Private quantum subsystems, Physical Review Letters, 111, 030502 (2013).
  38. D.W. Kribs, R. Pereira, S. Plosker, Trumping and power majorization, Linear and Multilinear Algebra, 61 (2013), 1455-1463.
  39. D.W. Kribs, J. Levick, R. Pereira, Unital affine semigroups, Linear Algebra and its Applications, 439 (2013), 2106-2113.
  40. J. Chen, Z. Ji, D.W. Kribs, Z. Wei, B. Zeng, Ground-state spaces of frustration-free Hamiltonians, Journal of Mathematical Physics, 53, 102201 (2012).
  41. J. Chen, Z. Ji, D.W. Kribs, A. Klyachko, B. Zeng, Rank reduction for the local consistency problem: an algebraic geometry approach, Journal of Mathematical Physics, 53, 022202 (2012).
  42. N. Johnston and D. W. Kribs, Quantum gate fidelity in terms of Choi matrices, Journal of Physics A: Mathematical & Theoretical, 44, 495303 (2011).
  43. A. Church, D.W. Kribs, R. Pereira, S. Plosker, Conditional expectations, trace vectors and private quantum channels, Quantum Information & Computation, 11 (2011), 774-783.
  44. N. Johnston, D.W. Kribs, V. I. Paulsen, R. Pereira, Minimal and maximal operator spaces and operator systems in entanglement theory, Journal of Functional Analysis 260 (2011), 2407–2423.
  45. N. Johnston, D. W. Kribs, A family of norms with applications in quantum information theory II, Quantum Information & Computation, 11 (2011), 104–123.
  46. A. Church, R. Pereira, D.W. Kribs, Majorization and multiplier sequences, Linear Algebra and its Applications, 435 (2011), 2132-2139.
  47. N. Johnston, D.W. Kribs, Generalized multiplicative domains and quantum error correction, Proceedings of the American Mathematical Society, 139 (2011), 627-639.
  48. S.L. Braunstein, D.W. Kribs, M.K. Patra, Zero-error subspaces for quantum channels, 2011 IEEE International Symposium on Information Theory (ISIT), 104-108.
  49. N. Johnston, D.W. Kribs, A family of norms with applications in entanglement theory, 2011 ICO International Conference on Information Photonics, 10.1109.
  50. J. Crann, R. Pereira, D.W. Kribs, Anticoherent spin states and spherical designs, Journal of Physics A: Mathematical & Theoretical, 43 (2010) 255307.
  51. N. Johnston and D. W. Kribs, A family of norms with applications in quantum information theory, Journal of Mathematical Physics, 51, 082202 (2010). Selected for the Virtual Journal of Quantum Information.
  52. N. Johnston, D.W. Kribs, Schmidt operator norms and entanglement theory, 4th International Conference on Quantum, Nano and Micro Technologies, (2010), 92-95.
  53. K. Schreiter, A. Pasieka, R. Kaltenbaek, K. Resch, D.W. Kribs, Optical implementation of a unitarily correctable code, Physical Review A, 80, 022311 (2009). Selected for the Virtual Journal of Quantum Information.
  54. C. Beny, A. Kempf, D.W. Kribs, Quantum error correction on infinite-dimensional Hilbert spaces, Journal of Mathematical Physics, 50 (2009), 062108. Selected for the Virtual Journal of Quantum Information.
  55. M.-D. Choi, N. Johnston, D.W. Kribs, The multiplicative domain in quantum error correction, Journal of Physics A: Mathematical & Theoretical, 42 (2009), 245303.
  56. N. Johnston, D.W. Kribs, V.I. Paulsen, Computing stabilized norms for quantum operations via the theory of completely bounded maps, Quantum Information & Computation, 9 (2009), 16-35.
  57. A. Pasieka, D.W. Kribs, R. Laflamme, R. Pereira, On the geometric interpretation of single qubit quantum operations on the Bloch sphere, Acta Applicandae Mathematicae, 108 (2009), 697.
  58. N. Johnston, D.W. Kribs, C.-W. Teng, An operator algebraic formulation of the stabilizer formalism for quantum error correction, Acta Applicandae Mathematicae, 108 (2009), 687.
  59. D.W. Kribs, A. Pasieka, M. Laforest, C. Ryan, M. Silva, Research problems on numerical ranges in quantum computing, Linear and Multilinear Algebra, 57 (2009), 491-502.
  60. A. Pasieka, D.W. Kribs, K. Zyczkowski, Entropy of a quantum error correction code, Open Systems & Information Dynamics, 15 (2008), 329-343.
  61. D. Kretschmann, D.W. Kribs, R.W. Spekkens, Complementarity of private and correctable subsystems in quantum cryptography and error correction, Physical Review A, 78, 032330 (2008). Selected for the Virtual Journal of Quantum Information.
  62. M. Lesosky, P. Kim, D.W. Kribs, Regularized deconvolution on the $2D$-Euclidean motion group, Inverse Problems, 24, 055017 (2008).
  63. M. Silva, E. Magesan, D.W. Kribs, J. Emerson, Scalable protocol for identification of correctable codes, Physical Review A, 78, 012347 (2008). Selected for the Virtual Journal of Quantum Information. 
  64. M.-D. Choi, M. Giesinger, J.A. Holbrook, D.W. Kribs, Geometry of higher-rank numerical ranges, Linear and Multilinear Algebra, 56 (2008), 53-64.
  65. C. Beny, D.W. Kribs, A. Pasieka, Algebraic formulation of quantum error correction, International Journal of Quantum Information, 6 (2008), 597-603.
  66. B. Bodmann, V. Paulsen, D.W. Kribs, Decoherence-insensitive quantum communication with optimal C*-encoding, IEEE Transactions on Information Theory, 53 (2007), 4738-4749.
  67. C. Beny, A. Kempf, D.W. Kribs, Quantum error correction of observables, Physical Review A, 76, 042303 (2007). Selected for the Virtual Journal of Quantum Information.
  68. M.-D. Choi, J.A. Holbrook, D.W. Kribs, K. Zyczkowski, Higher-rank numerical ranges of unitary and normal matrices, Operators and Matrices, 1 (2007), 409-426.
  69. C. Beny, A. Kempf, D.W. Kribs, Generalization of quantum error correction via the Heisenberg picture, Physical Review Letters, 98, 100502 (2007). Selected for the Virtual Journal of Quantum Information.
  70. D.W. Kribs, B. Solel, A class of limit algebras associated with directed graphs, Journal of the Australian Mathematical Society, 82 (2007), 1-24.
  71. M. Silva, E. Magesan, D.W. Kribs, J. Emerson, Experimental identification of noiseless encodings for twirled channels, Asian Conference on Quantum Information Science (AQIS), Kyoto, Japan (2007), 99-100.
  72. D.W. Kribs, R.W. Spekkens, Quantum error correcting subsystems are unitarily recoverable subsystems, Physical Review A, 74, 042329 (2006). Selected for the Virtual Journal of Quantum Information.
  73. M.-D. Choi, D.W. Kribs, K. Zyczkowski, Quantum error correcting codes from the compression formalism, Reports on Mathematical Physics, 58 (2006), 77-91.
  74. M.-D. Choi, D.W. Kribs, K. Zyczkowski, Higher rank numerical ranges and compression problems, Linear Algebra and its Applications, 418 (2006), 828-839.
  75. M.-D. Choi, D.W. Kribs, A method to find quantum noiseless subsystems, Physical Review Letters, 96, 050501 (2006). Selected for the Virtual Journal of Quantum Information.
  76. E. Katsoulis, D.W. Kribs, Tensor algebras of C*-correspondences and their C*-envelopes, Journal of Functional Analysis, 234 (2006), 226-233.
  77. D.W. Kribs, R. Laflamme, D. Poulin, M. Lesosky, Operator quantum error correction, Quantum Information & Computation, 6 (2006), 382-399.
  78. E. Katsoulis, D.W. Kribs, The C*-envelope of the tensor algebra of a directed graph, Integral Equations & Operator Theory, 56 (2006), 300-313.
  79. D.W. Kribs, S.C. Power, Analytic algebras of higher rank graphs, Mathematical Proceedings of the Royal Irish Academy, 106 (2006), 199-218.
  80. D.W. Kribs, A brief introduction to operator quantum error correction, Contemporary Mathematics, American Mathematical Society, 414 (2006), 27-34.
  81. D.W. Kribs, R. Laflamme, D. Poulin, A unified and generalized approach to quantum error correction, Physical Review Letters, 94, 180501 (2005). Selected for the Virtual Journal of Quantum Information.
  82. D.W. Kribs, A quantum computing primer for operator theorists, Linear Algebra and its Applications, 400 (2005), 147-167.
  83. M. Junge, P. Kim, D.W. Kribs, Universal collective rotation channels and quantum error correction, Journal of Mathematical Physics, 46 (2005), 022102. Selected for the Virtual Journal of Quantum Information.
  84. E. Katsoulis, D.W. Kribs, Applications of the Wold decomposition to the study of row contractions associated with directed graphs, Transactions of the American Mathematical Society, 357 (2005), 3739-3755.
  85. J.A. Holbrook, D.W. Kribs, R. Laflamme, D. Poulin, Noiseless subsystems for collective rotation channels in quantum information theory, Integral Equations & Operator Theory, 51 (2005), 215-234.
  86. M.T. Jury, D.W. Kribs, Ideal structure in free semigroupoid algebras from directed graphs, Journal of Operator Theory, 53 (2005), 273-302.
  87. M.T. Jury, D.W. Kribs, Partially isometric dilations of noncommuting $n$-tuples of operators, Proceedings of the American Mathematical Society, 133 (2005), 213-222.
  88. E. Katsoulis, D.W. Kribs, Isomorphisms of algebras associated with directed graphs, Mathematische Annalen, 330 (2004), 709-728.
  89. D.W. Kribs, S.C. Power, Free semigroupoid algebras, Journal of the Ramanujan Mathematical Society 19 (2004), 75-117.
  90. D.W. Kribs, Non-selfadjoint operator algebras generated by weighted shifts on Fock space, Houston Journal of Mathematics, 30 (2004), 147-169.
  91. J.A. Holbrook, D.W. Kribs, R. Laflamme, Noiseless subsystems and the structure of the commutant in quantum error correction, Quantum Information Processing, 2 (2004), 381-419.
  92. D.W. Kribs, S.C. Power, Partly free algebras, Operator Theory: Advances and Applications, Birkhauser-Verlag Basel/Switzerland, 149 (2004), 381-393.
  93. D.W. Kribs, On bilateral weighted shifts in noncommutative multivariable operator theory, Indiana University Mathematics Journal, 52 (2003), 1595 – 1614.
  94. D.W. Kribs, Quantum channels, wavelets, dilations, and representations of $\O_n$, Proceedings of the Edinburgh Mathematical Society, 46 (2003), 421-433.
  95. P.E.T. Jorgensen, D.W. Kribs, Wavelet representations and Fock space on positive matrices, Journal of Functional Analysis, 197 (2003), 526-559.
  96. D.W. Kribs, Inductive limit algebras from periodic weighted shifts on Fock space,New York Journal of Mathematics, 8 (2002), 145-159.
  97. K.R. Davidson, D.W. Kribs, M.E. Shpigel, Isometric dilations of non-commuting finite rank n-tuples, Canadian Journal of Mathematics, 53 (2001), 506-545.
  98. D.W. Kribs, The curvature invariant of a non-commuting $n$-tuple, Integral Equations & Operator Theory, 41 (2001), 426-454.
  99. D.W. Kribs, Factoring in non-commutative analytic Toeplitz algebras, Journal of Operator Theory, 45 (2001), 175-193.
Book Chapters
  1. D.W. Kribs, D. Poulin, Operator quantum error correction, chapter in “Quantum Error Correction”, Cambridge University Press, 2013, T. Brun, D. Lidar, P. Zanardi, eds.
Theses
  1. D.W. Kribs, Non-commuting n-tuples of operators and dilation theory, PhD Thesis, Department of Pure Mathematics, University of Waterloo (2000), 138 pp. Advisor: Prof. K.R. Davidson.
  2. D.W. Kribs, The Jacobson radical of a CSL algebra, MMath Thesis, Department of Pure Mathematics, University of Waterloo (1996), 74 pp. Advisor: Prof. K.R. Davidson.
Unpublished Manuscripts
  1. D.W. Kribs, F. Markopoulou, Geometry from quantum particles, E-print:arxiv.org/gr-qc/0510052.
  2. D.W. Kribs, A unified framework for graph algebras and quantum causal histories,E-print:arxiv.org/math.OA/0501087.