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Weyl, H. (1931) The Theory of Groups and Quantum Mechanics , Dover Publications, New York
1931
Earlier work this paper cites.
Schwinger, J. (1960). Unitary operator bases. Proc. Nat. Acad. Sci. USA , 46, (1960) 570–579
1960
Earlier work this paper cites.
Schwinger, J. (1965). On angular momentum. In: Quantum theory of angular momemtum , L.C. Biedenharn & H. van Dam, (Eds.), 55–66, Academic Press, New York
1965
Earlier work this paper cites.
Kibler, M. (1968). Ionic and paramagnetic energy levels: algebra. J. Molec. Spectrosc. , 26, (1968) 111–130
1968
Earlier work this paper cites.
Lévy-Leblond, J.-M. (1973). Azimuthal quantization of angular momentum. Rev. Mex. Física , 22, (1973) 15–23
1973
Earlier work this paper cites.
Arik, M. & Coon, D.D. (1976). Hilbert spaces of analytic functions and generalized coherent states. J. Math. Phys. , 17, (1976) 524–527
1976
Earlier work this paper cites.
Patera, J. & Winternitz, P. (1976). On bases for irreducible representations of O(3) suitable for systems with an arbitrary finite symmetry group. J. Chem. Phys. , 65, (1976) 2725–2731
1976
Earlier work this paper cites.
Champion, J.P.; Pierre, G.; Michelot, F. & Moret-Bailly, J. (1977). Composantes cubiques normales des tenseurs sphériques, Can. J. Phys. , 55, (2977) 512–520
1977
Earlier work this paper cites.
Ivanović, I.D. (1981). Geometrical description of quantum state determination. J. Phys. A: Math. Gen. , 14, (1981) 3241–3245
1981
Earlier work this paper cites.
Šťovíček, P. & Tolar, J. (1984). Quantum mechanics in a discrete space-time. Rep. Math. Phys. , 20, (1984) 157–170
1984
Earlier work this paper cites.
Balian, R. & Itzykson, C. (1986). Observations sur la mécanique quantique finie. C. R. Acad. Sci. (Paris) , 303, (1986) 773–778
1986
Earlier work this paper cites.
Mehta, M.L. (1987). Eigenvalues and eigenvectors of the finite Fourier transform. J. Math. Phys. , 28, (1987) 781–785
1987
Earlier work this paper cites.
Patera, J. & Zassenhaus, H. (1988). The Pauli matrices in n n dimensions and finest gradings of simple Lie algebras of type A n − 1 A_{n-1} . J. Math. Phys. , 29, (1988) 665–673
1988
Earlier work this paper cites.
Rubakov, V.A. & Spiridonov, V.P. (1988). Parasupersymmetric quantum-mechanics. Modern Phys. Lett. A , 3, (1988) 1337–1347
1988
Earlier work this paper cites.
Wootters, W.K. & Fields, B.D. (1989). Optimal state-determination by mutually unbiased measurements. Ann. Phys. (N.Y.) , 191, (1989) 363–381
1989
Earlier work this paper cites.
Beckers, J. & Debergh, N. (1990). Parastatistics and supersymmetry in quantum-mechanics. Nucl. Phys. B , 340, (1990) 767–776
1990
Earlier work this paper cites.
Chaichian, M. & Ellinas, D. (1990). On the polar decomposition of the quantum SU(2) algebra. J. Phys. A: Math. Gen. , 23, (1990) L291–L296
1990
Earlier work this paper cites.
Fairlie, D.B.; Fletcher, P.; Zachos, C.K. (1990). Infinite-dimensional algebras and a trigonometric basis for the classical Lie-algebras. J. Math. Phys. , 31, (1990) 1088–1094
1990
Cited alongside, same era.
Vourdas, A. (1990). SU(2) and SU(1,1) phase states. Phys. Rev. A , 41, (1990) 1653–1661
1990
Cited alongside, same era.
Durand, S. (1993). Fractional superspace formulation of generalized mechanics. Modern Phys. Lett. A , 8, (1993) 2323–2334
1993
Cited alongside, same era.
Khare, A. (1993). Parasupersymmetry in quantum mechanics. J. Math. Phys. , 34, (1993) 1277–1294
1993
Cited alongside, same era.
Calderbank, A.R.; Cameron, P.J.; Kantor, W.M. & Seidel, J.J. (1997). Z4-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Proc. London Math. Soc. , 75, (1997) 436–480
1997
Cited alongside, same era.
Grassl, M. (2005). Tomography of quantum states in small dimensions. Elec. Notes Discrete Math. , 20, (2005) 151–164
2005
Later among the works it cites.
Kibler, M.R. & Planat, M. (2006). A SU(2) recipe for mutually unbiased bases. Internat. J. Modern Phys. B , 20, (2006) 1802–1807
2006
Later among the works it cites.
Albouy, O. & Kibler, M.R. (2007). SU(2) nonstandard bases: case of mutually unbiased bases. SIGMA , 3, (2007) 076
2007
Later among the works it cites.
Bengtsson, I.; Bruzda, W.; Ericsson, Å.; Larsson, J.-Å.; Tadej, W. & Życkowski, K. (2007). Mutually unbiased bases and Hadamard matrices of order six. J. Math. Phys. , 48, (2007) 052106
2007
Later among the works it cites.
Boykin, P.O.; Sitharam, M.; Tiep, P.H. & Wocjan, P. (2007). Mutually unbiased bases and orthogonal decompositions of Lie algebras. Quantum Inf. Comput. , 7, (2007) 371–382
2007
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Berndt, B.C.; Evans, R.J. & Williams, K.S. (1998). Gauss and Jacobi Sums , Wiley, New York
1998
Cited alongside, same era.
Daoud, M.; Hassouni, Y. & Kibler, M. (1998). The k-fermions as objects interpolating between fermions and bosons. In: Symmetries in Science X , B. Gruber & M. Ramek (Eds.), 63–77, Plenum Press, New York
1998
Cited alongside, same era.
Klishevich, S. & Plyushchay, T. (1999). Supersymmetry of parafermions. Modern Phys. Lett. A , 14, (1999) 2739–2752
1999
Cited alongside, same era.
Englert, B.-G. & Aharonov, Y. (2001). The mean king’s problem: prime degrees of freedom. Phys. Lett. A , 284, (2001) 1–5
2001
Cited alongside, same era.
Gottesman, D.; Kitaev, A. & Preskill, J. (2001). Encoding a qubit in an oscillator. Phys. Rev. A , 64, (2001) 012310
2001
Cited alongside, same era.
Bandyopadhyay, S.; Boykin, P.O.; Roychowdhury, V. & Vatan, F. (2002). A new proof for the existence of mutually unbiased bases. Algorithmica , 34, (2002) 512–528
2002
Cited alongside, same era.
Cerf, N.J.; Bourennane, M.; Karlsson, A. & Gisin, N. (2002). Phys. Rev. Lett. , 88, (2002) 127902
2002
Cited alongside, same era.
Later among the works it cites.
Havlíček, H. & Saniga, M. (2008). Projective ring line on an arbitrary single qudit. J. Phys. A: Math. Theor. , 41, (2008) 015302
2008
Later among the works it cites.
Kibler, M.R. (2008). Variations on a theme of Heisenberg, Pauli and Weyl. J. Phys. A: Math. Theor. , 41, (2008) 375302
2008
Later among the works it cites.
Albouy, O. (2009). Discrete algebra and geometry applied to the Pauli group and mutually unbiased bases in quantum information theory. Thesis , (2009), Université de Lyon
2009
Later among the works it cites.
Brierley, S. & Weigert, S. (2009). Constructing mutually unbiased bases in dimension six. Phys. Rev. A , 79, (2009) 052316
2009
Later among the works it cites.
Kibler, M.R. (2009). An angular momentum approach to quadratic Fourier transform, Hadamard matrices, Gauss sums, mutually unbiased bases, unitary group and Pauli group. J. Phys. A: Math. Theor. , 42, (2009) 353001
2009
Later among the works it cites.
Tolar, J. & Chadzitaskos, G. (2009). Feynman’s path integral and mutually unbiased bases. J. Phys. A: Math. Theor. , 42, (2009) 245306
2009
Later among the works it cites.
Atakishiyev, N.M.; Kibler, M.R. & Wolf, K.B. (2010). SU(2) and SU(1,1) approaches to phase operators and temporally stable phase states: applications to mutually unbiased bases and discrete Fourier Transforms. Symmetry , 2, (2010) 1–24
2010
Closest in time.
Daoud, M. & Kibler, M.R. (2010). Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems. J. Phys. A: Math. Theor. , 43, (2010) 115303
2010
Closest in time.
Durt, T.; Englert, B.-G.; Bengtsson, I. & Życkowski, K. (2010). On mutually unbiased bases. Internat. J. Quantum Info. , 8, (2010) 535–640
2010
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2010
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Planat, M. & Kibler, M. (2010). Unitary reflection groups for quantum fault tolerance. J. Comput. Theor. Nanosci. , 7, (2010) 1–12
2010
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