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Discrete structures in Hilbert space play a crucial role in finding optimal schemes for quantum measurements.
L. Welch, Lower bounds on the maximum cross correlation of signals, IEEE Transactions Inform Theor
1974
Earlier work this paper cites.
P. Delsarte, J. Goethals, and J. Seidel, Spherical codes and designs, Geom. Dedicata
1977
Earlier work this paper cites.
E. Lubkin, Entropy of an n n ‐system from its correlation with a k k ‐reservoir, J. Math Phys. 19
1978
Earlier work this paper cites.
S. G. Hoggar, t t -Designs in Projective Spaces, Europ. J. Combinatorics
1982
Earlier work this paper cites.
P. D. Seymour and T. Zaslavsky, Averaging sets: A generalization of mean values and spherical designs, Advanc. Math
1984
Earlier work this paper cites.
W. Wootters and B. Fields, Optimal State-Determination by Mutually Unbiased Measurements, Ann. Phys. 191
1989
Earlier work this paper cites.
J. Zimba and R. Penrose, On Bell non-locality without probabilities: more curious geometry. Stud. Hist. Phil. Sci
1993
Earlier work this paper cites.
R. Penrose, Shadows of the Mind
1994
Earlier work this paper cites.
J. E. Massad and P. K. Aravind, The Penrose dodecahedron revisited, American Journal of Physics
1999
Earlier work this paper cites.
K. Życzkowski and H.-J. Sommers, Induced measures in the space of mixed quantum states, J. Phys. A
2001
Earlier work this paper cites.
J. B. Altepeter, D. F. V. James, and P. G. Kwiat, Quantum state tomography, in M. Paris, J. Rehaček (eds.) Quantum state estimation
2004
Earlier work this paper cites.
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, Symmetric informationally complete quantum measurements, J. Math. Phys. 45
2004
Earlier work this paper cites.
J. Lawrence, Mutually unbiased bases and trinary operator sets for N N qutrits, Phys. Rev. A
2004
Earlier work this paper cites.
J. L. Romero, G. Bjork, A. B. Klimov, and L. L. Sánchez-Soto, Structure of the sets of mutually unbiased bases for N N qubits, Phys. Rev. A
2005
Earlier work this paper cites.
J. Renes, Equiangular spherical codes in quantum cryptography, Quantum Inf. Comput
2005
Earlier work this paper cites.
A. J. Scott, Tight informationally complete quantum measurements, J. Phys. A 39
2006
Earlier work this paper cites.
J. Zimba, Anticoherent spin states via the Majorana representation, Elect. J. Theor. Phys
2006
Cited alongside, same era.
I. Bengtsson, W. Bruzda, A. Ericsson, J.-Å. Larsson, W. Tadej, and K. Życzkowski, MUBs and Hadamards of Order Six, J. Math. Phys
2007
Cited alongside, same era.
D. Gross, K. Audenaert, and J. Eisert, Evenly distributed unitaries: on the structure of unitary designs, J. Math. Phys
2007
Cited alongside, same era.
A. Scott, Optimizing quantum process tomography with unitary 2 2 -designs, J. Phys. A
2008
Cited alongside, same era.
A. Roy and A. J. Scott, Unitary designs and codes, Des. Codes Cryptogr
2009
Cited alongside, same era.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Exact and Approximate Unitary 2 2 -Designs: Constructions and Applications, Phys. Rev. A
D. Goyeneche, S. Gomez, Mutually unbiased bases with free parameters, Phys. Rev. A 92, 062325 (2015)
2015
Later among the works it cites.
D. Gross, F. Krahmer, and R. Kueng, A partial derandomization of phase lift using spherical designs, J. Fourier Anal. Appl
2015
Later among the works it cites.
N. Bent, H. Qassim, A. A. Tahir, D. Sych, G. Leuchs, L. L. Sanchez-Soto, E. Karimi, and R. W. Boyd, Experimental Realization of Quantum Tomography of Photonic Qudits via Symmetric Informationally Complete Positive Operator-Valued Measures, Phys. Rev. X
2015
Later among the works it cites.
H. Zhu, Super-symmetric informationally complete measurements, Annals Phys
2015
Later among the works it cites.
J. Řeháček, Y. S. Teo, and Z. Hradil, On determining which quantum measurement performs better for state estimation, Phys. Rev. A
2015
Later among the works it cites.
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2009
Cited alongside, same era.
R. Blume-Kohout, Optimal, reliable estimation of quantum states, New J. Phys
2010
Cited alongside, same era.
B. A. Adamson and A. M. Steinberg, Improving Quantum State Estimation with Mutually Unbiased Bases, Phys. Rev. Lett
2010
Cited alongside, same era.
A. J. Scott and M. Grassl, SIC-POVMs: A new computer study, J. Math. Phys
2010
Cited alongside, same era.
T. Durt, B.-G. Englert, I. Bengtsson, and K. Życzkowski, On mutually unbiased bases, Int. J. Quantum Information
2010
Cited alongside, same era.
H. Zhu, Y. S. Teo, and B.-G. Englert, Structure of Two-qubit Symmetric Informationally Complete POVMs, Phys. Rev. A
2010
Cited alongside, same era.
M. Wieśniak, T. Paterek, and A. Zeilinger, Entanglement in mutually unbiased bases, New J. Phys
2011
Cited alongside, same era.
M. A. Graydon, and D. M. Appleby, Quantum Conical Designs, J. Phys. A
2016
Later among the works it cites.
S. Brandsen, M. Dall’Arno, and A. Szymusiak, Communication capacity of mixed quantum t t -designs, Phys. Rev. A
2016
Later among the works it cites.
K. Bartkiewicz, A. Černoch, K. Lemr, and A. Miranowicz, Priority Choice Experimental Two-Qubit Tomography: Measuring One by One All Elements of Density Matrices, Scient. Rep
2016
Later among the works it cites.
M. Grassl and A. J. Scott, Fibonacci-Lucas SIC-POVMs, J. Math. Phys
2017
Later among the works it cites.
I. Bengtsson and K. Życzkowski, Geometry of Quantum States
2017
Later among the works it cites.
M. Waegell and P. K. Aravind, The Penrose dodecahedron and the Witting polytope are identical in ℂ P 3 \mathbb{C}P^{3} , Phys. Lett. A
2017
Later among the works it cites.
Z-W. Liu, S. Lloyd, E. Y. Zhu, and H. Zhu, Generalized Entanglement Entropies of Quantum Designs, Phys. Rev. Lett
2018
Later among the works it cites.
J. Czartowski, D. Goyeneche and K. Życzkowski, Entanglement properties of multipartite informationally complete quantum measurements, J. Phys. A
2018
Later among the works it cites.
D. Chruściński, G. Sarbicki and F. Wudarski, Entanglement witnesses from mutually unbiased bases, Phys. Rev. A
2018
Later among the works it cites.
J. Bae, B. C. Hiesmayr, and D. McNulty, Linking Entanglement Detection and State Tomography via Quantum 2 2 -Designs, New J. Phys
2019
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