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We operationally introduce mixed quantum t-designs as the most general arbitrary-rank extension of projective quantum t-designs which preserves indistinguishability from the uniform distribution for t copies.
E.T. Bell, Partition Polynomials
1927
Earlier work this paper cites.
C. E. Shannon, A Mathematical Theory of Communication
1948
Earlier work this paper cites.
D. S. Lebedev, L. B. Levitin, Information transmission by electromagnetic field
1966
Earlier work this paper cites.
A. S. Holevo, Statistical decision theory for quantum systems
1973
Earlier work this paper cites.
V. P. Belavkin, Optimal quantum multiple hypothesis testing
1975
Earlier work this paper cites.
V. P. Belavkin, Optimum distinction of non-orthogonal quantum signals
1975
Earlier work this paper cites.
E. B. Davies, Information and quantum measurement
1978
Earlier work this paper cites.
C.H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing
1984
Earlier work this paper cites.
L. B. Levitin, Information in direct and indirect quantum measurements
1992
Earlier work this paper cites.
R. Jozsa, D. Robb, and W. K Wootters, A Lower Bound for Accessible Information in Quantum Mechanics
1994
Earlier work this paper cites.
L. B. Levitin, Optimal quantum measurements for two pure and mixed states
1995
Earlier work this paper cites.
L. B. Levitin, On the quantum measure of information
1996
Earlier work this paper cites.
G. Zauner, Quantendesigns – Grundzuge einer nichtkommutativen Designtheorie
1999
Earlier work this paper cites.
I. L. Chuang and M. A. Nielsen, Quantum Information and Computation
2000
Earlier work this paper cites.
A. Koldobsky and H. König, “Aspects of the Isometric Theory of Banach Spaces,” in Handbook of the Geometry of Banach Spaces, Vol. 1, edited by W. B. Johnson and J. Lindenstrauss, (North Holland, Dordrecht, 2001), pp. 899–939
2001
Earlier work this paper cites.
S. Bandyopadhyay, P.O. Boykin, V. Roychowdhury, F. Vatan, A new proof for the existence of mutually unbiased bases
2002
Earlier work this paper cites.
G. Mauro D’Ariano, M. G. A. Paris, M. De Laurentis, A. Porzio, S. Solimeno, Quantum tomography as a tool for the characterization of optical devices
2002
Earlier work this paper cites.
C. A. Fuchs and M. Sasaki, Squeezing Quantum Information through a Classical Channel: Measuring the Quantumness of a Set of Quantum States
2003
Earlier work this paper cites.
J.M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. Informationally Complete Quantum Measurements
2004
Earlier work this paper cites.
D. P. DiVincenzo, M. Horodecki, D. W. Leung, J. A. Smolin, and B. M. Terhal, Locking Classical Correlations in Quantum States
2004
Cited alongside, same era.
I. Devetak and A. Winter, Distilling common randomness from bipartite quantum states
2004
Cited alongside, same era.
D. M. Appleby, Symmetric informationally complete–positive operator valued measures and the extended Clifford group
2005
Cited alongside, same era.
A. Klappenecker and M. Roetteler, Mutually unbiased bases are complex projective 2-designs
2005
Cited alongside, same era.
A.J. Scott, Tight informationally complete quantum measurements
2006
Cited alongside, same era.
T. M. Cover and J. A. Thomas, Elements of Information Theory
2006
A. S. Holevo, Information capacity of a quantum observable
2012
Later among the works it cites.
J. Stoer, R. Bulirsch, Introduction to numerical analysis
2012
Later among the works it cites.
A. S. Holevo, Information capacities of quantum measurement channels
2013
Later among the works it cites.
C. A. Fuchs and R. Schack, Quantum-Bayesian coherence
2013
Later among the works it cites.
H.B. Dang, K. Blanchfield, I. Bengtsson, D.M. Appleby, Linear dependencies in Weyl- Heisenberg orbits
2013
Later among the works it cites.
A. Kalev and G. Gour, Construction of all general symmetric informationally complete measurements
2014
Later among the works it cites.
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Cited alongside, same era.
A. Ambainis and J. Emerson, “Quantum t-designs: t-wise independence in the quantum world
2007
Cited alongside, same era.
I. Bengtsson, Three Ways to Look at Mutually Unbiased Bases
2007
Cited alongside, same era.
P. Butterley and W. Hall, Numerical evidence for the maximum number of mutually unbiased bases in dimension six
2007
Cited alongside, same era.
D. M. Appleby, Optics and Spectroscopy, Symmetric informationally complete measurements of arbitrary rank
2007
Cited alongside, same era.
S. Brierley and S. Weigert, Maximal sets of mutually unbiased quantum states in dimension six
2008
Cited alongside, same era.
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2010
Cited alongside, same era.
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2014
Later among the works it cites.
A. E. Rastegin, Notes on general SIC-POVMs
2014
Later among the works it cites.
M. Dall’Arno, F. Buscemi, and M. Ozawa, Tight bounds on accessible information and informational power
2014
Later among the works it cites.
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2014
Later among the works it cites.
M. Dall’Arno, Accessible information and informational power of quantum 2-designs
2014
Later among the works it cites.
F. Buscemi, M. J. W. Hall, M. Ozawa, and M. M. Wilde, Noise and Disturbance in Quantum Measurements: An Information-Theoretic Approach
2014
Later among the works it cites.
B. Chen, and S.-H. Fei, Uncertainty relations based on mutually unbiased measurements
2015
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2015
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