Publications by Koenraad Audenaert
Research
Papers
(47) K.M.R. Audenaert
Trace inequalities for completely monotone functions
and Bernstein functions
Submitted to Lin. Alg. Appl.,
arXiv:1109.3057.
(46) K.M.R. Audenaert
Telescopic Relative Entropy II–Triangle inequalities.
Submitted.
arXiv:1102.3041.
45. K.M.R. Audenaert and J.S.
Aujla
On norm sub-additivity and
super-additivity inequalities for concave and convex functions.
Accepted for
publication in LAMA, special issue in memory of Ky Fan (2012).
arXiv:1012.2254.
44. K.M.R. Audenaert and J. Eisert
Continuity bounds on the quantum relative entropy – II
Accepted for publication in J Math Phys.
arXiv:1105.2656.
43. K.M.R.
Audenaert
Telescopic Relative Entropy
Accepted as presentation at TQC2011, May 2011, Madrid.
To be published in Springer LNCS.
arXiv:1102.3040 (2011).
42. K.M.R. Audenaert
In-betweenness: a geometrical monotonicity property
for operator means.
arXiv:1011:6313. In
press Lin. Alg. Appl. (2011) doi:10.1016/j.laa.2011.02.051.
41. K.M.R. Audenaert
A characterisation of anti-Löwner functions
Proc. AMS 139, 4217-4223 (2011).
arXiv:1008:2943
40. D. Wenzel and K. Audenaert
Impressions of convexity - An illustration for
commutator bounds.
Lin.
Alg. Appl. 433(11-12), 1726-1759
(2010).
arXiv:1004.2700.
39. D. Petz, F. Hiai and K. Audenaert
Strongly subadditive functions.
Acta Math. Hungar. 128(4),
386-394 (2010).
arXiv:1007.4626.
38. K.M.R. Audenaert and S. Scheel
Statistical Inference from Imperfect Photon Detection.
New J. Phys. 11, 113052 (2009).
arXiv:0906.3668.
37. K.M.R. Audenaert
Variance bounds, with an application to norm bounds for commutators
Lin. Alg. Appl. 432(5),
1126–1143 (2010).
arXiv:0907.3913.
36. K.M.R. Audenaert
Spectral radius of Hadamard product versus conventional product for
non-negative matrices.
Lin. Alg. Appl., 432(1),
366–368 (2010).
arXiv:0907.3312
35. K.M.R. Audenaert
A Lieb-Thirring inequality for
singular values.
Lin. Alg. Appl. 430, 3053—3057
(2009).
arXiv:0812.3714
34. K. Audenaert and S. Scheel
Quantum tomographic reconstruction with error bars: a Kalman filter
approach.
New J Phys 11, 023028 (2009).
arXiv:0809.3359
33. K.M.R.
Audenaert
A note on the p→q norms of completely positive maps
Lin. Alg. Appl 430, 1436–1440 (2009).
arXiv:math-ph/0505085.
32. K. Audenaert, L. Cai and F. Hansen
Inequalities for quantum skew information.
Lett. Math. Phys. 85, 135–146 (2008).
arXiv:0803.1056v2
31. K.M.R. Audenaert and S.
Scheel
On Random Unitary Channels
New J Phys 10, 023011
(2008).
arXiv:0709.0824
30. K.M.R. Audenaert, M.
Nussbaum, A. Szkoła and F. Verstraete
Asymptotic Error Rates in
Quantum Hypothesis Testing
Comm. Math. Phys. 279,
251–283 (2008).
arXiv:0708.4282
29. K.M.R. Audenaert
On a Norm Compression
Inequality for 2XN partitioned block matrices
Lin. Alg. Appl. 428,
781–795 (2008).
arXiv:math/0702186
28. K.M.R. Audenaert
Subadditivity of q-entropies
for q>1
J. Math. Phys. 48,
083507 (2007).
arXiv:0705.1276
27. K.M.R. Audenaert
On the Araki-Lieb-Thirring
inequality
Int. J. of Information and
Systems Sciences 4, 78–83 (2008).
Special issue on “Matrix
Analysis and Applications”.
math.FA/0701129
26. D. Gross, K. Audenaert and
J. Eisert
Evenly distributed unitaries:
on the structure of unitary designs
J.Math.Phys. 48, 052104
(2007).
quant-ph/0611002
25. J. Eisert, F.G.S.L. Brandao and K.M.R. Audenaert
Quantitative Entanglement Witnesses
New J. Phys. 9, 46 (2007).
quant-ph/0607167
24. K.M.R. Audenaert, J. Calsamiglia, R. Muñoz-Tapia, E. Bagan, Ll.
Masanes, A. Acin and F. Verstraete
Distinguishing States: The Quantum Chernoff Bound
Phys. Rev. Lett. 98, 160501 (2007). Editors’ Suggestion.
quant-ph/0610027.
23. K.M.R. Audenaert
A sharp continuity estimate for the von Neumann entropy
J. Phys. A 40, 8127–8136 (2007).
quant-ph/0610146
22. K.M.R. Audenaert and M.B. Plenio
When are correlations quantum?–verification and quantification of
entanglement by simple measurements
New J. Phys. 8 (2006) 266.
quant-ph/0608067
21. K.M.R. Audenaert
A singular value inequality for Heinz means
Lin. Alg. Appl. 422, 279–283 (2007).
math.FA/0609130.
M. Reimpell, R.F. Werner and K.M.R. Audenaert
Comment on “Optimum quantum error recovery using semidefinite
programming”
quant-ph/0606059 (2006).
20. K.M.R. Audenaert, C. Godsil, G. Royle and T. Rudolph
Symmetric squares of graphs
Journal of Combinatorial Theory, Series B, 97, 74–90 (2006).
math.CO/0507251
19. K.M.R. Audenaert
A norm compression inequality for block partitioned positive definite
matrices,
Linear Algebra and its Applications 413, 155–176 (2006).
math.FA/0505680
18. K.M.R. Audenaert and J. Eisert
Continuity bounds on the quantum relative entropy
J. Math. Phys. 46, 102104 (2005).
quant-ph/0503218
17. K.M.R. Audenaert and M.B. Plenio
Entanglement on mixed stabiliser states: Normal Forms and Reduction
Procedures
New J. Phys. 7, 170, (2005).
quant-ph/0505036
16. S. Scheel and K. Audenaert
Scaling of success probabilities for linear optics gates
New J. Phys. 7, 149 (2005).
quant-ph/0410014,
V2.
15. K.M.R. Audenaert, C.A. Fuchs, C. King and A. Winter
Multiplicativity of Accessible Fidelity and Quantumness for Sets of
Quantum States
Quantum Information & Computation 4(1), 1-11, (2004)
quant-ph/0308120
14. K.M.R. Audenaert and S.L. Braunstein
On Strong Superadditivity of the Entanglement of Formation
Communications in Mathematical Physics 246(3), 443-452, (2004)
quant-ph/0303045
13. J. Eisert, K. Audenaert and M.B. Plenio
Remarks on entanglement measures and non-local state distinguishability
J. Phys. A: Math. Gen. 36(20), 5605-5615 (2003)
quant-ph/0212007
12. K. Audenaert, M.B. Plenio and J. Eisert
Entanglement Cost under Positive-Partial-Transpose-Preserving Operations
Phys. Rev. Lett. (90), 027901 (2003)
quant-ph/0207146
11. K. Audenaert, J. Eisert,
M.B. Plenio and R.F. Werner
Entanglement properties of the harmonic chain
Phys.Rev.A (66), 042327 (2002).
quant-ph/0205025
10. K. Audenaert, B. De Moor,
K.G.H. Vollbrecht and R.F. Werner
Asymptotic relative entropy of entanglement for orthogonally invariant states
Phys.Rev.A (66), 032310 (2002).
quant-ph/0204143
9. K. Audenaert and B. De Moor
Optimizing Completely Positive Maps using Semidefinite Programming
Phys.Rev.A (65), 030302 (2002).
quant-ph/0109155
8. F. Verstraete, K. Audenaert, J. Dehaene and B. De Moor
A comparison of the entanglement measures negativity and concurrence
J. Phys. A (34), 10327 (2001).
quant-ph/0108021
7. K. Audenaert, J. Eisert, E. Jane, M.B. Plenio, S. Virmani and B. De
Moor
The Asymptotic Relative Entropy of Entanglement
Phys. Rev. Lett. (87), 217902 (2001).
quant-ph/0103096
6. F. Verstraete, K. Audenaert and B. De Moor
Maximally Entangled Mixed States of Two Qubits,
Phys. Rev. A (64), 012316 (2001).
quant-ph/0011110
5. K. Audenaert, F. Verstraete and B. De Moor
Variational Characterisation of Separability and Entanglement of
Formation,
Phys. Rev. A (64), 052304 (2001).
quant-ph/0006128
4. Audenaert, K.
Clock Trees: Logical Time for Programs with Variable Parallelism,
IEEE Trans. Software Engineering,
Vol. 23, No. 10, pp. 646-658 (1997).
3. Audenaert, K.; Levrouw, L.
"Interrupt Replay: A Debugging Method for Parallel Programs with
Interrupts".
Microprocessors and Microsystems.
Vol. 18, No. 10, Dec., 1995, pp. 601-612. Butterworth-Heinemann
2. Peremans, H.; Audenaert, K.; Van Campenhout, J.M.
"A High-Resolution Sensor Based on Tri-aural Perception".
IEEE Transactions on Robotics and Automation.
Vol. 9, Jan., 1993, pp. 36-48.
1. Brunfaut, M.; Peremans, H.; Audenaert, K.; Blomme, R.; Van
Campenhout, J.M.
"A Correlation Coprocessor for Accurate Real-Time Ultrasonic
Ranging of Multiple Objects Using the Transputer".
Microprocessors and Microsystems. Vol. 17, No. 10, 1993, pp. 571-578.
Butterworth-Heinemann.
Book
Chapters
K.M.R. Audenaert and M.B. Plenio,
Entanglement in systems of interacting harmonic oscillators
In: Quantum Information Processing with Continuous Variables,
G. Leuchs, E. Polzik and N. Cerf, eds.
Invited
Seminar/Project Meeting Talks
Imperial College London, Dept of Mathematics
(inv. B. Zegarlinski)
January
2012
University
of Ulm, Germany (inv. S. Huelga)
August
2011
University
of Cambridge (inv. N Datta)
10/03/2011
Imperial
College, Quantum Information Theory group (inv. D Burgarth)
01/02/2011
Institut
Mittag-Leffler, Stockholm (inv. MB Ruskai)
November
2010
University
of Ulm, Germany (inv. M. Plenio)
August
2010
Maths
Dept., East China Normal University, Shanghai (inv. X. Zhan)
July
2010
Technical
University of Budapest (inv. D. Petz)
von
Neumann Workshop 2010
May
2010
University
of Nottingham, (inv. M. Guta)
East
Midlands Mathematical Physics Seminar
March
10, 2010
Physics
Dept, University of Innsbruck, Austria, (inv. R. Blatt)
February
6, 2010
Physics Dept., University of Bristol,
November 2008.
Physics Dept.
University of Nottingham, October, 2007.
Physics Dept.
NUS, Singapore, August 24, 2007.
Max Planck Institute for Quantum Optics,
Munich (Schloss Ringberg), April 14, 2006.
RESQ-QAP theory meeting,
Institut Henri Poincare, Paris,
France, March 6-8, 2006.
Non-commutative Day 2005,
Dept. of Mathematics, Imperial College London,
November 23, 2005.
Dept. of Mathematics, North Eastern University, Boston MA, USA
September 20, 2005.
Cambridge, DAMTP, UK
March 9, 2005.
Max Planck Institute for Quantum Optics, Garching, Germany
September 15, 2004.
Dept. of Computer Science, York University, UK
July 23, 2004
School of Mathematics and Statistics, University of Newcastle, UK
May 5, 2004.
“Quantum Theory and Global Optimisation”
Dept. of Mathematics, University of York, UK
March 1, 2004.
“Quantum Theory and Global Optimisation”
Dept. of Physics, Imperial College London, UK
February 20, 2004.
“Algebraic Quantum Information Theory”
Startup Meeting of QIP IRC
St. Anne’s College, Oxford University, UK
January 8, 2004.
“Applying Convex Optimisation”
Dept. of Computer Science, Univ. of Hertfordshire, Hatfield UK
November 26, 2003.
“Strong Superadditivity of Entanglement of Formation: a Convex
Analytical approach”
CNRI, Dublin Institute of Technology
Dublin, Ireland
May 20, 2003.
“Convex Analysis in Quantum Information Theory”
Physics Department, University of Pavia, Italy
May 10-17, 2003.
“Calculation of the asymptotic relative entropy of entanglement”
DFG-A2 meeting
TU Braunschweig , Germany
09-11-2001.
“Matrix Diagonalisations”
Physics Department, Imperial College, London UK
May 5, 2001.
Invited
Lectures
"Operator
monotone functions: past and present",
Three
one-hour lectures at TU Chemnitz, "Summer school on Applied Analysis"
September
26-30, 2011 (inv A. Böttcher)
“Mathematical Methods of Quantum Information”
International Iran Summer School on Quantum Information
Kish Island, Iran, September 2008.
“Mathematical Aspects of Quantum Information Theory”
NATO Advanced Study Institute 981339, “Physics and Computer Sciences”
Cargese, France, 17-29 October 2005.
Invited
Talks at International Conferences
TBA
Invited Plenary talk
Great
Plains Operator Theory Symposium GPOTS 2012, May 30-June 3, 2012, Houston, US.
TBA
International
workshop on anomalous statistics, generalized entropies and information
geometry
March
6-10 2012, Nara, Japan.
"On
distance measures between positive semidefinite matrices and their applications
in quantum information"
2010
ILAS Conference, mini-symposium on matrix inequalities, June 21-25, 2010, Pisa,
Italy
"Matrix
means in a Euclidean setting"
2010
ILAS Conference, mini-symposium on matrix means, June 21-25, 2010, Pisa, Italy
"From
variance bounds to norm bounds for commutators" Invited
plenary talk
9th
Conference of China Matrix Theory and Applications
July
18-22, 2010, Shanghai, China.
“Asymptotic
Error Rates in Quantum State Discrimination: the Quantum Chernoff bound”
30th
Conference on Quantum Probability
November
23-28, 2009, Santiago, Chile.
“Variance bounds and commutators”
Operator Structures in Quantum Information workshop
July 6-10, 2009, Fields Institute, University of Toronto, Canada.
“Asymptotic Error Rates in Quantum State Discrimination: the Quantum
Chernoff bound”
Advanced Workshop on Trends and Developments in Linear Algebra
22 June - 10 July 2009, ICTP, Miramare - Trieste, Italy.
“Quantum Tomographic Reconstruction with Error Bars: a Kalman Filter
Approach”
QUEST Workshop, August 2008, Perimeter Institute, Waterloo, Canada.
“Quantum Hypothesis Testing: non-commutative generalisations of Chernoff
and Hoeffding bounds”
ITW08, IEEE Information Theory Workshop, Porto, May 5-9 2008.
“Notes on multiplicativity of
maximal output purity for completely positive qubit maps”
SSPCM07, Myzkowce, Poland,
Sept 2007.
“The Quantum Chernoff Bound”
BIRS Workshop 07w5119, Operator Structures in Quantum Information Theory
Banff, Canada, Februari 11-16, 2007.
“Success Probabilities for Linear Optics Gates”
38th Symposium on Mathematical Physics, SMP-38
Torun, Poland, June 4-7, 2006.
“Entanglement in Stabiliser States: Normal Forms and Reduction
Procedures”
School and Workshop on Theory and Technology in Quantum
Information, Communication, Computation and Cryptography
19 - 23 June 2006
ICTP, Trieste, Italy.
“Quantum Theory and Global Optimisation”
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.
“Accessible fidelity and quantumness of sets of quantum states”
36th Symposium on Mathematical Physics, SMP-36
Torun, Poland, June 10, 2004.
“Quantum Information Theory: An Invitation for Matrix Analysts”
International Conf. on Matrix Analysis and Applications,
Nova Southeastern University, Ft. Lauderdale, Florida, USA, 14-16 Dec
2003.
“Additivity Questions in QIT: recent results and outlook”
QIT-EQIS: A Satellite Workshop to EQIS '03
Quantum Information Theory
Niijima-kaikan, Kyoto, Japan, 2-3 Sept 2003.
“Convex Analysis in Quantum Information Theory”
Third Conference of the ESF programme
Quantum Information Theory and Quantum Computing
Erice, Italy, 16-03-2003.
“Entanglement and its quantification”
Leuven Mathematical Physics Days 2002,
KU Leuven, Belgium, 06-06-2002.
“Entanglement properties of the harmonic chain”
Workshop on continuous variables quantum information processing,
CVQIP2002
Brussel, Belgium, 07-04-2002.
Conference
Proceedings
K.M.R. Audenaert
Notes on multiplicativity of
maximal output purity for completely positive qubit maps
J. of Physics: Conference
Series 104, 012001 (2008).
arXiv:0709.0855
K. Audenaert, M. Cramer, J. Eisert and M.B. Plenio
“Entanglement in systems of interacting harmonic oscillators”
Proc. 1st Intl Conf on “Quantum Computing:
Back Action 2006”, Kanpur, India.
“Quantum Theory and Global Optimisation”
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.
(see also quant-ph/0402076)
Audenaert, K.
"Maintaining Concurrency Information for On-the-fly Data Race
Detection".
Parallel Computing: Fundamentals, Applications and New Directions.
Vol. 12, Advances in Parallel Computing, Feb., 1998, pp. 319-326.
North Holland, Bonn, Eds. D'Hollander, E.; Joubert, F.J.; Trottenberg,
U.
Audenaert, K.; Levrouw, L.
"Space efficient data race detection for parallel programs with
series-parallel task graphs".
Proceedings of the third Euromicro Workshop on Parallel and Distributed
Processing.
Jan., 1995, pp. 508-515. IEEE Computer Society Press, San Remo (Italy).
Levrouw, L.J.; Audenaert, K.
"Minimizing the Log Size for Execution Replay of Shared-Memory
Programs".
Parallel Processing, Proceedings of Conpar 94–VAPP VI.
Vol. LNCS-854, Sep., 1994, pp. 76-87. Springer Verlag.
Levrouw, L.; Audenaert, K.; Van Campenhout, J.
"Execution Replay with Compact Logs for Shared-Memory
Programs".
Applications in Parallel and Distributed Computing.
(IFIP Transactions A-44: Computer Science and Technology).
Apr., 1994, pp. 125-134. North-Holland, Caracas (Venezuela).
Levrouw, L.; Audenaert, K.; Van Campenhout, J.
"A New Trace and Replay System for Shared Memory Programs Based on
Lamport Clocks".
Proceedings of the Second Euromicro Workshop on Parallel and Distributed
Processing.
Jan., 1994, pp. 471-478.
IEEE Computer Society Press, Malaga.
Audenaert, K.; Levrouw, L.J.
"Replaying Programs Allowing Interrupts on a Multiprocessor".
Int'l Workshop on Systems Engineering for Real Time Applications, SERTA
'93.
1993, pp. 107-112.
IEE, Cirencester.
Levrouw, L.J.; Audenaert, K.
"Reducing the Space Requirements of Instant Replay".
Proc. of the ACM/ONR Workshop on Parallel and Distributed Debugging.
May, 1993, pp. 205-207.
ACM, San Diego.
Levrouw, L.J.; Audenaert, K.
"An Efficient Record-Replay Mechanism for Shared Memory Programs".
Proc. of the Euromicro Workshop on Parallel and Distributed Processing.
Jan., 1993, pp. 169-176.
IEEE Computer Society Press, Gran Canaria.
Audenaert, K.; Peremans, H.; Kawahara, Y.; Van Campenhout, J.M.
"Accurate Ranging of Multiple Objects Using Ultrasonic
Sensors".
Proc. of the 1992 IEEE Int. Conf. on Robotics and Automation.
May, 1992, pp. 1733-1738.
IEEE, Nice