Fetching the paper…
Reading the bibliography…
In order to find out for which initial states of the system the uncertainty of the measurement outcomes will be minimal, one can look for the minimizers of the Shannon entropy of the measurement.
A.S. Holevo, Bounds for the quantity of information transmitted by a quantum communication channel, Probl. Inf. Transm. 9
1973
Earlier work this paper cites.
E. Prugovečki, Information-theoretic aspects of quantum measurement, Int. J. Theor. Phys. 16
1977
Earlier work this paper cites.
E.B. Davies, Information and quantum measurement, IEEE Trans. Inf. Theory 24
1978
Earlier work this paper cites.
D. Deutsch, Uncertainty in quantum measurements, Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
M. Sasaki, S.M. Barnett, R. Jozsa, M. Osaki, O. Hirota, Accessible information and optimal strategies for real symmetrical quantum sources, Phys. Rev. A 59
1999
Earlier work this paper cites.
S. Bandyopadhyay, P.O. Boykin, V. Roychowdhury, F. Vatan, A new proof for the existence of mutually unbiased bases, Algorithmica 34
2002
Earlier work this paper cites.
M. Krishna, K.R. Parthasarathy, An entropic uncertainty principle for quantum measurements, Sankhyā 64
2002
Earlier work this paper cites.
P.W. Shor, Additivity of the classical capacity of entanglement-breaking quantum channels, J. Math. Phys. 43
2002
Earlier work this paper cites.
J.M. Renes, R. Blume-Kohout, A.J. Scott, C.M. Caves, Symmetric Informationally complete quantum measurements, J. Math. Phys. 45
2004
Earlier work this paper cites.
D.M. Appleby, Symmetric informationally complete-positive operator valued measures and the extended Clifford group, J. Math. Phys. 46
2005
Earlier work this paper cites.
M. Grassl, Tomography of quantum states in small dimensions, Electron. Notes Discrete Math. 20
2005
Cited alongside, same era.
J.M. Renes, Equiangular spherical codes in quantum cryptography, Quant. Inf. Comput. 5
2005
Cited alongside, same era.
S.T. Flammia, On SIC-POVMs in prime dimensions, J. Phys. A 39
2006
Cited alongside, same era.
A.J. Scott, Tight informationally complete quantum measurements, J. Phys. A 39
2006
Cited alongside, same era.
S. Massar, Uncertainty relations for positive operator valued measures, Phys. Rev. A 76
2007
Cited alongside, same era.
J. Suzuki, S.M. Assad, B.-G. Englert, Accessible information about quantum states: An open optimization problem
2007
Cited alongside, same era.
M. Dall’Arno, G.M. D’Ariano, M.F. Sacchi, Informational power of quantum measurement, Phys. Rev. A 83
2011
Later among the works it cites.
O. Oreshkov, J. Calsamiglia, R. Muñoz-Tapia, E. Bagan, Optimal signal states for quantum detectors, New J. Phys. 13
2011
Later among the works it cites.
G. Zauner, Quantendesigns.Grundzüge einer nichtkommutativen Designtheorie
2011
Later among the works it cites.
H. Zhu, B.-G. Englert, Quantum state tomography with fully symmetric measurements and product measurements, Phys. Rev. A 84
2011
Later among the works it cites.
A.S. Holevo, Quantum systems, channels, information. A mathematical introduction, De Gruyter, Berlin (2012)
2012
Later among the works it cites.
A.S. Holevo, Information capacity of a quantum observable, Probl. Inf. Transm. 48
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Srikanth, S. Banerjee, Complementarity in atomic (finite-level quantum) systems: an information-theoretic approach, Eur. Phys. J. D, 53
2009
Cited alongside, same era.
S. Wehner, A. Winter, Entropic uncertainty relations – a survey, New J. Phys. 12
2010
Cited alongside, same era.
H. Zhu, SIC POVMs and Clifford groups in prime dimensions, J. Phys. A 43
2010
Cited alongside, same era.
M. Dall’Arno, G.M. D’Ariano, M.F. Sacchi, Informational power of quantum measurement, Phys. Rev. A 83
2011
Cited alongside, same era.
M. Dall’Arno, G.M. D’Ariano, M.F. Sacchi, How much a Quantum Measurement is Informative? Preprint
Cited in the paper.
Cited in the paper.
2012
Later among the works it cites.
H.B. Dang, K. Blanchfield, I. Bengtsson, D.M. Appleby, Linear dependencies in Weyl-Heisenberg orbits, Quantum Inf. Process. 12
2013
Later among the works it cites.
A.S. Holevo, Information capacities of quantum measurement channels, Phys. Scr. T153
2013
Later among the works it cites.
A.E. Rastegin, Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies, Eur. Phys. J. D 67
2013
Later among the works it cites.
M. Dall’Arno, F. Buscemi, M. Ozawa, Tight bounds on the accessible information and the informational power, J. Phys. A 47
2014
Closest in time.