KA
K. M. R. Audenaert
math.FAquant-phmath.MPmath-phmath.STstat.THcs.ITmath.COmath.ITmath.PR
On Valency
published · living versionsW_brv3thhq·v1 · currentpublished
Asymptotic Error Rates in Quantum Hypothesis Testing
with M. Nussbaum, A. Szkola, F. Verstraete
1 version
W_64fgxx32·v1published
W_dqpvr4mh·v1published
Preprints & journals
45 papers in the corpus · 2000–2025Quantum Cramér-Rao Precision Limit of Noisy Continuous Sensing.41791044 · Yang, Dayou, Ketkar, Moulik, Audenaert, Koenraad et al.2026 · 4 citationsPhysical review letters. 2026;136(7):070802
Continuity bounds for quantum entropies arising from a fundamental entropic inequality2408.15306v4 · Koenraad Audenaert, Bjarne Bergh, Nilanjana Datta et al.2024 · 4 citationsIEEE Trans. Inf. Th., vol. 71, no. 9, p. 7029-7038 (2025)
A continuity bound for the expected number of connected components of a random graph: a model for epidemics1912.05599v1 · Koenraad Audenaert, Eric P. Hanson, Nilanjana Datta2019 · 1 citationarXiv
Entropy power inequalities for qudits1503.04213v3 · Koenraad Audenaert, Nilanjana Datta, Maris Ozols2015 · 30 citationsJ. Math. Phys. 57, 052202 (2016)
A Determinantal Inequality for the Geometric Mean with an Application in Diffusion Tensor Imaging1502.06902v2 · Koenraad M.R. Audenaert2015 · 5 citationsarXiv
A norm inequality for pairs of commuting positive semidefinite matrices1411.6234v1 · Koenraad M.R. Audenaert2014 · 0 citationsarXiv
Interpolating between the Arithmetic-Geometric Mean and Cauchy-Schwarz matrix norm inequalities1411.4546v2 · Koenraad M.R. Audenaert2014 · 28 citationsarXiv
Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy1411.0680v1 · Michael Marien, Koenraad M.R. Audenaert, Karel Van Acoleyen et al.2014 · 51 citationsarXiv
A generalisation of Mirsky's singular value inequalities1410.4941v1 · Koenraad M.R. Audenaert2014 · 6 citationsarXiv
On a Block Matrix Inequality quantifying the Monogamy of the Negativity of Entanglement1409.0099v1 · Koenraad M.R. Audenaert2014 · 1 citationarXiv
Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination1401.7658v3 · Koenraad M.R. Audenaert, Mil'an Mosonyi2014 · 36 citationsJ. Math. Phys. 55 , 102201 (2014)
alpha-z-relative Renyi entropies1310.7178v3 · Koenraad M.R. Audenaert, Nilanjana Datta2013 · 130 citationsJournal of Mathematical Physics, vol. 56, 022202 (2015)
Schur multiplier norms for Loewner matrices1303.7365v1 · Koenraad M.R. Audenaert2013 · 2 citationsLinear Algebra Appl. 439(9), 2598-2608 (2013)
On matrix inequalities between the power means: counterexamples1302.7040v2 · Koenraad M.R. Audenaert, Fumio Hiai2013 · 14 citationsarXiv
Comparisons between quantum state distinguishability measures1207.1197v2 · Koenraad M. R. Audenaert2012 · 39 citationsQuant. Inf. Comp. 14(1&2) 31-38 (2014)
An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions1204.3418v2 · Koenraad M. R. Audenaert2012 · 4 citationsLinear Algebra Appl. 438(8), 3454-3462 (2013)
Problems and Conjectures in Matrix and Operator Inequalities1201.5232v3 · K. M. R. Audenaert, F. Kittaneh2012 · 16 citationsarXiv
Trace inequalities for completely monotone functions and Bernstein functions1109.3057v1 · Koenraad M.R. Audenaert2011 · 6 citationsLinear Algebra Appl. 437(2), 601-611 (2012)
Continuity bounds on the quantum relative entropy - II1105.2656v3 · Koenraad M.R. Audenaert, Jens Eisert2011 · 63 citationsJ. Math. Phys. 52, 112201 (2011)
Telescopic Relative Entropy1102.3040v2 · Koenraad M.R. Audenaert2011 · 3 citationsarXiv
Telescopic Relative Entropy--II Triangle inequalities1102.3041v2 · Koenraad M.R. Audenaert2011 · 6 citationsarXiv
On norm sub-additivity and super-additivity inequalities for concave and convex functions1012.2254v2 · Koenraad M.R. Audenaert, Jaspal Singh Aujla2010 · 6 citationsLinear and Multilinear Algebra 60(11-12), Special Issue in memory of Professor Ky Fan, 1369-1389 (2012)
In-betweenness: a geometric monotonicity property for operator means1011.6313v1 · Koenraad M.R. Audenaert2010 · 24 citationsLinear Algebra Appl. 438(4), 1769-1778 (2013)
A Characterisation of Anti-Lowner Functions1008.2943v2 · Koenraad M.R. Audenaert2010 · 11 citationsProc. AMS 139, 4217-4223 (2011)
Impressions of convexity - An illustration for commutator bounds1004.2700v1 · David Wenzel, Koenraad M.R. Audenaert2010 · 3 citationsLin. Alg. Appl. 433(11-12), 1726-1759 (2010)
Variance bounds, with an application to norm bounds for commutators0907.3913v1 · Koenraad M.R. Audenaert2009 · 55 citationsLin. Alg. Appl. 432(5), 1126-1143 (2010)
Spectral radius of Hadamard product versus conventional product for non-negative matrices0907.3312v1 · Koenraad M.R. Audenaert2009 · 21 citationsLin. Alg. Appl., 432(1), 366-368 (2010)
Statistical Inference from Imperfect Photon Detection0906.3668v1 · K.M.R. Audenaert, S. Scheel2009 · 4 citationsNew J. Phys. 11, 113052 (2009)
A Lieb-Thirring inequality for singular values0812.3714v1 · Koenraad M.R. Audenaert2008 · 6 citationsLin. Alg. Appl. 430(11-12), 3053-3057 (2009)
Inverse moments of univariate discrete distributions via the Poisson expansion0809.4155v1 · Koenraad M.R. Audenaert2008 · 4 citationsarXiv
Inequalities for quantum skew information0803.1056v2 · Koenraad Audenaert, Liang Cai, Frank Hansen2008 · 20 citationsLett. Math. Phys. (2008) 85:135-146
On Random Unitary Channels0709.0824v1 · Koenraad M.R. Audenaert, Stefan Scheel2007 · 88 citationsNew J. Phys. 10, 023011 (2008)on Valency
On Ando's inequalities for convex and concave functions0704.0099v1 · Koenraad M.R. Audenaert, Jaspal Singh Aujla2007 · 2 citationsarXiv
On a Norm Compression Inequality for 2XN Partitioned Block Matricesmath/0702186v2 · Koenraad M.R. Audenaert2007 · 2 citationsLin. Alg. Appl. 428, 781-795 (2008)
On the Araki-Lieb-Thirring inequalitymath/0701129v2 · Koenraad M.R. Audenaert2007 · 26 citationsInt. J. of Information and Systems Sciences, 4(1), 78-83 (2008)
A Sharp Fannes-type Inequality for the von Neumann Entropyquant-ph/0610146v1 · Koenraad M.R. Audenaert2006 · 285 citationsJ. Phys. A 40, 8127--8136 (2007).
A Singular Value Inequality for Heinz Meansmath/0609130v2 · Koenraad M.R. Audenaert2006 · 34 citationsLin. Alg. Appl. 422, 279--283 (2007)
A Norm Compression Inequality for Block Partitioned Positive Semidefinite Matricesmath/0505680v1 · Koenraad M.R. Audenaert2005 · 25 citationsLin. Alg. Appl. 413, 155-176 (2006).
A Note on the p->q norms of Completely Positive Mapsmath-ph/0505085v2 · Koenraad M.R. Audenaert2005 · 10 citationsLin. Alg. Appl 430(4), 1436-1440 (2009)
Entanglement on mixed stabiliser states--I: Normal Forms and Reduction Proceduresquant-ph/0505036v2 · Koenraad M.R. Audenaert, Martin B. Plenio2005 · 89 citationsNew J. Phys. 7, 170 (2005)on Valency
Continuity bounds on the quantum relative entropyquant-ph/0503218v3 · K.M.R. Audenaert, J. Eisert2005 · 83 citationsJ. Math. Phys. 46, 102104 (2005)
Optimizing Completely Positive Maps using Semidefinite Programmingquant-ph/0109155v2 · K. Audenaert, B. De Moor2001 · 67 citationsPhys.Rev.A (65), 030302 (2002)
A comparison of the entanglement measures negativity and concurrencequant-ph/0108021v1 · Frank Verstraete, Koenraad Audenaert, Jeroen Dehaene et al.2001 · 200 citationsJ. Phys. A: 34, 10327 (2001)
Maximally entangled mixed states of two qubitsquant-ph/0011110v3 · Frank Verstraete, Koenraad Audenaert, Tijl De Bie et al.2000 · 255 citationsPhys. Rev. A (\bf 64), 012316 (2001)
Variational Characterisations of Separability and Entanglement of Formationquant-ph/0006128v1 · K. Audenaert, F. Verstraete, B. De Moor2000 · 176 citationsPhys. Rev. A 64, 052304 (2001)
Career total: 80 works. 45 are in this corpus.
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