Professor Koenraad Audenaert

  1. 2019
  2. Submitted

    A continuity bound for the expected number of connected components of a random graph: a model for epidemics

    Audenaert, K., Hanson, E. & Datta, N., 13 Dec 2019, (Submitted) In : ArXiv.org. 1912, 05599

    Research output: Contribution to journalArticle

  3. 2016
  4. Published

    Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

    Marien, M., Audenaert, K., Van Acoleyen, K. & Verstraete, F., Aug 2016, In : Communications in Mathematical Physics. 346, 1, p. 35–73 39 p.

    Research output: Contribution to journalArticle

  5. Published

    Entropy power inequalities for qudits

    Audenaert, K., Datta, N. & Ozols, M., 20 May 2016, In : Journal of Mathematical Physics. 57, p. 1-28 28 p.

    Research output: Contribution to journalArticle

  6. Published

    Reciprocal Lie-Trotter formula

    Audenaert, K. & Hiai, F., 2016, In : Linear and Multilinear Algebra. 64, 6, p. 1220-1235 16 p.

    Research output: Contribution to journalArticle

  7. Published

    Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics

    Zhou, D., Dryden, I., Koloydenko, A. A., Audenaert, K. & Bai, L., 2016, In : Journal of Applied Statistics. 43, 5, p. 943-978 36 p.

    Research output: Contribution to journalArticle

  8. 2015
  9. Published

    Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities

    Audenaert, K., 1 Jun 2015, In : Operators and Matrices. 9, 2, p. 475–479 5 p.

    Research output: Contribution to journalArticle

  10. E-pub ahead of print

    On a block matrix inequality quantifying the monogamy of the negativity of entanglement

    Audenaert, K., 20 Mar 2015, In : Linear and Multilinear Algebra. 63, 12, p. 2526-2536 11 p.

    Research output: Contribution to journalArticle

  11. Unpublished

    A Determinantal Inequality for the Geometric Mean with an Application in Diffusion Tensor Imaging

    Audenaert, K., 25 Feb 2015, (Unpublished) In : ArXiv.org. 1502.06902, p. 1-9 9 p.

    Research output: Contribution to journalArticle

  12. E-pub ahead of print

    α-z-Rényi relative entropies

    Audenaert, K. & Datta, N., 18 Feb 2015, In : Journal of Mathematical Physics. 56, 2, p. 1-16 16 p., 022202.

    Research output: Contribution to journalArticle

  13. Published

    A norm inequality for pairs of commuting positive semidefinite matrices

    Audenaert, K., 16 Feb 2015, In : Electronic Journal of Linear Algebra. 30, p. 80-84 5 p., 5.

    Research output: Contribution to journalArticle

  14. 2014
  15. Published

    Quantum skew divergence

    Audenaert, K., Nov 2014, In : Journal of Mathematical Physics. 55, 11, p. 1-21 21 p., 112202.

    Research output: Contribution to journalArticle

  16. Unpublished

    A generalisation of Mirsky's singular value inequalities

    Audenaert, K., 21 Oct 2014, (Unpublished) In : ArXiv.org. 1410.4941

    Research output: Contribution to journalArticle

  17. Published

    Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination

    Audenaert, K. & Mosonyi, M., Oct 2014, In : Journal of Mathematical Physics. 55, 10, 39 p., 102201.

    Research output: Contribution to journalArticle

  18. Published

    Comparisons between quantum state distinguishability measures

    Audenaert, K., 2014, In : Quantum Inf. Comput.. 14, 1&2, p. 31-38

    Research output: Contribution to journalArticle

  19. Published

    Telescopic Relative Entropy

    Audenaert, K., 2014, Theory of Quantum Computation, Communication, and Cryptography - 6th Conference, TQC 2011, Madrid. Springer, Vol. LNCS 6745. p. 39-52

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  20. 2013
  21. Published

    Schur multiplier norms for Loewner matrices

    Audenaert, K., 1 Nov 2013, In : Linear Algebra and Its Applications. 439, 9, p. 2598-2608

    Research output: Contribution to journalArticle

  22. Published

    On matrix inequalities between the power means: counterexamples

    Audenaert, K. & Hiai, F., 1 Sep 2013, In : Linear Algebra and Its Applications. 439, 5, p. 1590-1604

    Research output: Contribution to journalArticle

  23. Published

    An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions

    Audenaert, K., 2013, In : Linear Algebra and Its Applications. 438, 8, p. 3454-3462

    Research output: Contribution to journalArticle

  24. Published

    In-betweenness: a geometrical monotonicity property for operator means

    Audenaert, K., 2013, In : Linear Algebra and Its Applications. 438, 4, p. 1769-1778

    Research output: Contribution to journalArticle

  25. Published

    On the asymmetry of the relative entropy

    Audenaert, K., 2013, In : Journal of Mathematical Physics. 54, 073506.

    Research output: Contribution to journalArticle

  26. 2012
  27. Published

    Trace inequalities for completely monotone functions and Bernstein functions

    Audenaert, K. M. R., 15 Jul 2012, In : Linear Algebra and Its Applications. 437, 2, p. 601-611

    Research output: Contribution to journalArticle

  28. Published

    On norm sub-additivity and super-additivity inequalities for concave and convex functions

    Audenaert, K. & Aujla, J. S., 2012, In : Linear and Multilinear Algebra. 60, 11-12, p. 1369-1389

    Research output: Contribution to journalArticle

  29. Forthcoming

    Problems and conjectures in matrix and operator inequalities

    Audenaert, K. & Kittaneh, F., 2012, (Accepted/In press) Operator theory. (Banach Center Publications).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

  30. Published

    Quantum state discrimination bounds for finite sample size

    Audenaert, K., Mosonyi, M. & Verstraete, F., 2012, In : Journal of Mathematical Physics. 53, 122205.

    Research output: Contribution to journalArticle

  31. 2011
  32. Published

    A characterisation of anti-Löwner functions

    Audenaert, K. M. R., Dec 2011, In : Proceedings of the American Mathematical Society. 139, 12, p. 4217-4223

    Research output: Contribution to journalArticle

  33. Published

    Continuity bounds on the quantum relative entropy - II

    Audenaert, K. & Eisert, J., Nov 2011, In : Journal of Mathematical Physics. 52, 7 p., 112201.

    Research output: Contribution to journalArticle

  34. 2010
  35. Published

    Impressions of convexity - An illustration for commutator bounds

    Wenzel, D. & Audenaert, K., 1 Dec 2010, In : Linear Algebra and Its Applications. 433, 11-12, p. 1726-1759 34 p.

    Research output: Contribution to journalArticle

  36. Published

    Strongly subadditive functions

    Audenaert, K., Hiai, F. & Petz, D., Sep 2010, In : Acta Mathematica Hungarica. 128, 4, p. 386-394 9 p.

    Research output: Contribution to journalArticle

  37. Published

    Variance bounds, with an application to norm bounds for commutators

    Audenaert, K. M. R., 15 Feb 2010, In : Linear Algebra and Its Applications. 432, 5, p. 1126-1143 18 p.

    Research output: Contribution to journalArticle

  38. Published

    Spectral radius of Hadamard product versus conventional product for non-negative matrices

    Audenaert, K. M. R., 1 Jan 2010, In : Linear Algebra and Its Applications. 432, 1, p. 366-368 3 p.

    Research output: Contribution to journalArticle

  39. 2009
  40. Published

    Quantum tomographic reconstruction with error bars: a Kalman filter approach

    Audenaert, K. M. R. & Scheel, S., 13 Feb 2009, In : New Journal of Physics. 11, 2, 56 p., 023028.

    Research output: Contribution to journalArticle

  41. Published

    A Lieb-Thirring inequality for singular values

    Audenaert, K. M. R., 2009, In : Linear Algebra and Its Applications. 430, 11, p. 3053-3057 5 p.

    Research output: Contribution to journalArticle

  42. Published

    A note on the p->q norms of 2-positive maps

    Audenaert, K. M. R., 2009, In : Linear Algebra and Its Applications. 430, 4, p. 1436-1440 5 p.

    Research output: Contribution to journalArticle

  43. Published

    Statistical Inference from Imperfect Photon Detection

    Audenaert, K. M. R. & Scheel, S., 2009, In : New Journal of Physics. 11, p. 113052

    Research output: Contribution to journalArticle

  44. 2008
  45. Published

    Inequalities for quantum skew information

    Audenaert, K., Cai, L. & Hansen, F., Sep 2008, In : Letters in Mathematical Physics. 85, 2-3, p. 135-146 12 p.

    Research output: Contribution to journalArticle

  46. Published

    Asymptotic Error Rates in Quantum Hypothesis Testing

    Audenaert, K. M. R., Nussbaum, M., Szkola, A. & Verstraete, F., Apr 2008, In : Communications in Mathematical Physics. 279, 1, p. 251-283

    Research output: Contribution to journalArticle

  47. Published

    Notes on multiplicativity of maximal output purity for completely positive qubit maps

    Audenaert, K. M. R., 2008, In : Journal of Physics: Conference Series. 104, 1

    Research output: Contribution to journalArticle

  48. Published

    On a norm compression inequality for 2xN partitioned block matrices

    Audenaert, K. M. R., 2008, In : Linear Algebra and Its Applications. 428, 4, p. 781-795 15 p.

    Research output: Contribution to journalArticle

  49. Published

    On Random Unitary Channels

    Audenaert, K. M. R. & Scheel, S., 2008, In : New Journal of Physics. 10, p. 023011

    Research output: Contribution to journalArticle

  50. Published

    On the Araki-Lieb-Thirring inequality

    Audenaert, K. M. R., 2008, In : International Journal of Information and Systems Sciences. 4, 1, p. 78-83

    Research output: Contribution to journalArticle

  51. 2007
  52. Published

    A sharp continuity estimate for the von Neumann entropy

    Audenaert, K. M. R., 2007, In : Journal of Physics A: Mathematical and Theoretical. 40, 28, p. 8127-8136 10 p.

    Research output: Contribution to journalArticle

  53. Published

    A singular value inequality for Heinz means

    Audenaert, K. M. R., 2007, In : Linear Algebra and Its Applications. 422, 1, p. 279-283 5 p.

    Research output: Contribution to journalArticle

  54. Published

    Discriminating States: the quantum Chernoff bound.

    Audenaert, K. M. R., Calsamiglia, J., Muñoz-Tapia, R., Bagan, E., Masanes, L., Acin, A. & Verstraete, F., 2007, In : Physical Review Letters. 98, 16, p. 160501 4 p.

    Research output: Contribution to journalArticle

  55. Published

    Entanglement in systems of interacting harmonic oscillators

    Audenaert, K. & Plenio, M., 2007, Quantum Information Processing with Continuous Variables. Leuchs, G., Polzik, E. & Cerf, N. (eds.). London: Imperial College Press

    Research output: Chapter in Book/Report/Conference proceedingChapter

  56. Published

    Entanglement scaling in lattice systems

    Audenaert, K. M. R., Cramer, M., Eisert, J. & Plenio, M. B., 2007, In : Journal of Physics: Conference Series. 67, 1

    Research output: Contribution to journalArticle

  57. Published

    Evenly distributed unitaries: on the structure of unitary designs

    Gross, D., Audenaert, K. & Eisert, J., 2007, In : Journal of Mathematical Physics. 48, p. 052104

    Research output: Contribution to journalArticle

  58. Published

    Quantitative entanglement witnesses

    Eisert, J., G. S. L. Brandao, F. & Audenaert, K. M. R., 2007, In : New Journal of Physics. 9, p. 46

    Research output: Contribution to journalArticle

  59. Published

    Subadditivity of q-entropies for q>1

    Audenaert, K. M. R., 2007, In : Journal of Mathematical Physics. 48, p. 083507

    Research output: Contribution to journalArticle

  60. 2006
  61. Published

    When are correlations quantum? -- Verification and quantification of entanglement by simple measurements

    Audenaert, K. M. R. & Plenio, M. B., 8 Aug 2006, In : New Journal of Physics. 8, p. 266

    Research output: Contribution to journalArticle

  62. Published

    Comment on "Optimum Quantum Error Recovery using Semidefinite Programming"

    Reimpell, M., Werner, R. F. & Audenaert, K., 7 Jun 2006, Unkown Publisher.

    Research output: Book/ReportOther report

  63. Published

    A norm compression inequality for block partitioned positive semidefinite matrices

    Audenaert, K. M. R., 2006, In : Linear Algebra and Its Applications. 413, 1, p. 155-176 22 p.

    Research output: Contribution to journalArticle

  64. Published

    Entanglement in systems of interacting harmonic oscillators

    Audenaert, K., Cramer, M., Eisert, J. & Plenio, M. B., 2006, Proc. 1st Intl. Conf. on “Quantum Computing: Back Action 2006”, Kanpur, India..

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  65. Published

    Symmetric squares of graphs

    Audenaert, K., Godsil, C., Royle, G. & Rudolph, T., 2006, In : Journal of Combinatorial Theory, Series B. 97, 1, p. 74-90 17 p.

    Research output: Contribution to journalArticle

  66. 2005
  67. Published

    Continuity bounds on the quantum relative entropy

    Audenaert, K. M. R. & Eisert, J., 29 Mar 2005, In : Journal of Mathematical Physics. 46, p. 102104

    Research output: Contribution to journalArticle

  68. Published

    Entanglement on mixed stabilizer states: normal forms and reduction procedures

    Audenaert, K. M. R. & Plenio, M. B., 2005, In : New Journal of Physics. 7, 1, p. 170

    Research output: Contribution to journalArticle

  69. Published

    Scaling of success probabilities for linear optics gates

    Scheel, S. & Audenaert, K. M. R., 2005, In : New Journal of Physics. 7, 1, p. 149

    Research output: Contribution to journalArticle

  70. 2004
  71. Published

    Multiplicativity of Accessible Fidelity and Quantumness for Sets of Quantum States

    Audenaert, K. M. R., Fuchs, C. A., King, C. & Winter, A., 2004, In : Quantum Inf. Comput.. 4, 1, p. 1-11

    Research output: Contribution to journalArticle

  72. Published

    On Strong Superadditivity of the Entanglement of Formation

    Audenaert, K. M. R. & Braunstein, S. L., 2004, In : Communications in Mathematical Physics. 246, 3, p. 443-452

    Research output: Contribution to journalArticle

  73. Published

    Quantum Theory and Global Optimisation

    Audenaert, K., 2004, Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Mini-Symposium on Quantum Information, Catholic University of Leuven, Belgium, 5-9 July 2004.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  74. 2003
  75. Published

    Entanglement Cost under Positive-Partial-Transpose-Preserving Operations

    Audenaert, K., Plenio, M. & Eisert, J., 2003, In : Physical Review Letters. 90, 2, p. 027901 4 p.

    Research output: Contribution to journalArticle

  76. Published

    Remarks on entanglement measures and non-local state distinguishability

    Eisert, J., Audenaert, K. & Plenio, M. B., 2003, In : Journal of Physics A: Mathematical and General. 36, 20, p. 5605-5615

    Research output: Contribution to journalArticle

  77. 2002
  78. Published

    Entanglement Properties of the Harmonic Chain

    Audenaert, K., Eisert, J., Plenio, M. B. & Werner, R. F., 6 May 2002, In : Physical Review A. 66, p. 042327

    Research output: Contribution to journalArticle

  79. Published

    Asymptotic Relative Entropy of Entanglement for Orthogonally Invariant States

    Audenaert, K., De Moor, B., Vollbrecht, K-G. H. & Werner, R. F., 24 Apr 2002, In : Physical Review A. 66, p. 032310

    Research output: Contribution to journalArticle

  80. Published

    Optimizing Completely Positive Maps using Semidefinite Programming

    Audenaert, K. & De Moor, B., 2002, In : Physical Review A. 65, p. 030302

    Research output: Contribution to journalArticle

  81. 2001
  82. Published

    The asymptotic relative entropy of entanglement

    Audenaert, K., Eisert, J., Jane, E., Plenio, M. B., Virmani, S. & De Moor, B., 16 Mar 2001, In : Physical Review Letters. 87, p. 217902

    Research output: Contribution to journalArticle

  83. Published

    A comparison of the entanglement measures negativity and concurrence

    Verstraete, F., Audenaert, K., Dehaene, J. & De Moor, B., 2001, In : Journal of Physics A: Mathematical and General. 34, 47, p. 10327-10332 6 p.

    Research output: Contribution to journalArticle

  84. Published

    Maximally entangled mixed states of two qubits

    Verstraete, F., Audenaert, K. & De Moor, B., 2001, In : Physical Review A. 64, 1, p. 012316

    Research output: Contribution to journalArticle

  85. Published

    Variational Characterisations of Separability and Entanglement of Formation

    Audenaert, K., Verstraete, F. & De Moor, B., 2001, In : Physical Review A. 64, p. 052304

    Research output: Contribution to journalArticle

  86. 1998
  87. Published

    Maintaining Concurrency Information for On-the-fly Data Race Detection

    Audenaert, K., D'Hollander, E. (ed.), Joubert, F. J. (ed.) & Trottenberg, F. (ed.), 1998, Parallel Computing: Fundamentals, Applications and New Directions. Bonn, p. 319-326 (Advances in Parallel Computing; vol. 12).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  88. 1997
  89. Published

    Clock trees: logical clocks for programs with nested parallelism

    Audenaert, K., 1997, In : Software Engineering, IEEE Transactions on. 23, 10, p. 646-658 13 p.

    Research output: Contribution to journalArticle

  90. 1995
  91. Published
  92. 1994
  93. Published
  94. Published

    Execution Replay with Compact Logs for Shared-Memory Programs

    Levrouw, L., Audenaert, K. & Van Campenhout, J., 1994, Applications in Parallel and Distributed Computing.. Caracas: North-Holland, p. 125-134 (IFIP Transactions: Computer Science and Technology; vol. A-44).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  95. Published

    Interrupt replay: a debugging method for parallel programs with interrupts

    Audenaert, K. & Levrouw, L., 1994, In : Microprocessors and Microsystems. 18, 10, p. 601-612 12 p.

    Research output: Contribution to journalArticle

  96. Published

    Minimizing the Log Size for Execution Replay of Shared-Memory Programs

    Levrouw, L. J. & Audenaert, K., 1994, Parallel Processing, Proceedings of Conpar 94–VAPP VI. Springer, p. 76-87 (Lecture Notes in Computer Science; vol. 854).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  97. 1993
  98. Published

    A Correlation Coprocessor for Accurate Real-Time Ultrasonic Ranging of Multiple Objects Using the Transputer

    Brunfaut, M., Peremans, H., Audenaert, K., Blomme, R. & Van Campenhout, J. M., 1993, In : Microprocessors and Microsystems. 17, 10, p. 571-578

    Research output: Contribution to journalArticle

  99. Published

    A high-resolution sensor based on tri-aural perception

    Peremans, H., Audenaert, K. & Van Campenhout, J. M., 1993, In : Robotics and Automation, IEEE Transactions on. 9, 1, p. 36-48 13 p.

    Research output: Contribution to journalArticle

  100. Published
  101. Published

    Reducing the Space Requirements of Instant Replay

    Levrouw, L. J. & Audenaert, K., 1993, Proc. of the ACM/ONR Workshop on Parallel and Distributed Debugging. San Diego: ACM, p. 205-207

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  102. Published

    Replaying Programs Allowing Interrupts on a Multiprocessor

    Audenaert, K. & Levrouw, L. J., 1993, Int'l Workshop on Systems Engineering for Real Time Applications, SERTA '93. Cirencester: IEE Press, p. 107-112

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  103. 1992
  104. Published

    Accurate ranging of multiple objects using ultrasonic sensors: Proceedings. IEEE International Conference on Robotics and Automation, 1992.

    Audenaert, K., Peremans, H., Kawahara, Y. & Van Campenhout, J., 1992.

    Research output: Contribution to conferenceOther