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Physical theories can be characterized in terms of their state spaces and their evolutive equations.
I. Schur, “Neue Begründung der Theorie der Gruppencharaktere (in German),” Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin, pages 406–422 (1905)
1905
Earlier work this paper cites.
A. Einstein, “Die Grundlage der allgemeinen Relativitätstheorie (in German),” Annalen der Physik, 354
1916
Earlier work this paper cites.
The New York Times Company, “Einstein Expounds His New Theory,” The New York Times (December 3, 1919)
1919
Earlier work this paper cites.
F. W. Dyson, A. S. Eddington, and C. Davidson, “A Determination of the Deflection of Light by the Sun’s Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919,” Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 220
1920
Earlier work this paper cites.
P. Jordan, “Über ein Klasse nichtassoziativer hypercomplexe algebren,” Nachr. Akad. Wiss. Göttingen Math. Phys. Kl. I., 33
1933
Earlier work this paper cites.
P. Jordan, J. von Neumann, and E. Wigner, “On an Algebraic Generalization of the Quantum Mechanical Formalism,” Annals of Mathematics, 35
1934
Earlier work this paper cites.
A. Einstein, B. Podolsky, and N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?” Physical review, 47
1935
Earlier work this paper cites.
E. Schrödinger, “Discussion of Probability Relations between Separated Systems,” Mathematical Proceedings of the Cambridge Philosophical Society, 31
1935
Earlier work this paper cites.
E. Schrödinger, “Die gegenwärtige Situation in der Quantenmechanik (in German),” Naturwissenschaften, 23
1935
Earlier work this paper cites.
G. Birkhoff and J. Von Neumann, “The logic of quantum mechanics,” Annals of mathematics, pages 823–843 (1936)
1936
Earlier work this paper cites.
M. Krein and D. Milman, “On Extreme Points of Regular Convex Sets,” Studia Mathematica, 9
1940
Earlier work this paper cites.
S. Eilenberg and S. Mac Lane, “General theory of natural equivalences,” Transactions of the American Mathematical Society, 58
1945
Earlier work this paper cites.
A. Einstein, “Quanten-Mechanik Und Wirklichkeit (in German),” Dialectica, 2
1948
Earlier work this paper cites.
G. Lüders, “Über die Zustandsänderung durch den Meßprozeß (in German),” Annalen der Physik, 443
1950
Earlier work this paper cites.
S. Eilenberg and N. Steenrod, Foundations of Algebraic Topology , Princeton University Press (1952)
1952
Earlier work this paper cites.
J. von Neumann, Mathematical Foundations of Quantum Mechanics , Princeton University Press (1955)
1955
Earlier work this paper cites.
S. Eilenberg and H. Cartan, Homological Algebra , Princeton University Press (1956)
1956
Earlier work this paper cites.
M. Gleason, “Measures on the Closed Subspaces of a Hilbert Space,” Journal of Mathematics and Mechanics, 6
1957
Earlier work this paper cites.
T. S. Kuhn, The Copernican Revolution , Harvard University Press (1957)
1957
Earlier work this paper cites.
J. Schwinger, “Unitary operator bases,” Proc. Natl. Acad. Sci. USA, 46
1960
Earlier work this paper cites.
E. C. Stueckelberg, “Quantum theory in real Hilbert space,” Helv. Phys. Acta, 33
1960
Earlier work this paper cites.
E. Wigner, “The unreasonable effectiveness of mathematics in the natural sciences,” Communications on Pure and Applied Mathematics, 13
1960
Earlier work this paper cites.
E. Vinberg, “Homogeneous cones (in Russian),” Dokl. Acad. Nauk. SSSR, 133
1961
Earlier work this paper cites.
D. Finkelstein, J. M. Jauch, S. Schiminovich, and D. Speiser, “Foundations of Quaternion Quantum Mechanics,” Journal of Mathematical Physics, 3
1962
Earlier work this paper cites.
R. P. Feynman, R. B. Leighton, and M. Sands, Feynman lectures on physics. vol. 1: Mainly mechanics, radiation and heat , Addison-Wesley (1963)
1963
Earlier work this paper cites.
E. Størmer, “Positive Linear Maps of Operator Algebras,” Acta Mathematica, 110
1963
Earlier work this paper cites.
J. Bénabou, “Catégories avec multiplication (in French),” C. R. Acad. Sci. Paris, 256
1963
Earlier work this paper cites.
S. MacLane, “Natural associativity and commutativity,” Rice Institute Pamphlet-Rice University Studies, 49
1963
Earlier work this paper cites.
J. S. Bell, “On the Einstein Podolsky Rosen paradox,” Physics, 1
1964
Earlier work this paper cites.
J. Bénabou, “Algèbre élémentaire dans les catégories avec multiplication(in French),” C. R. Acad. Sci. Paris, 258
1964
Earlier work this paper cites.
G. Ludwig, “Versuch einer axiomatischen Grundlegung der Quantenmechanik und allgemeinerer physikalischer Theorien,” Zeitschrift fur Physik, 181
1964
Earlier work this paper cites.
W. Heisenberg, “The Development of Quantum Mechanics,” in Nobel Lectures, Physics 1922-1941 , Elsevier Publishing Company, pages 290–301 (1965)
1965
Earlier work this paper cites.
D. M. Topping, “Jordan algebras of self-adjoint operators,” Bull. Amer. Math. Soc., 71
1965
Earlier work this paper cites.
J. S. Bell, “On the Problem of Hidden Variables in Quantum Mechanics,” Rev. Mod. Phys., 38
1966
Earlier work this paper cites.
G. Bachman and L. Narici, Functional Analysis , Dover (1966)
1966
Earlier work this paper cites.
E. Størmer, “Jordan algebras of type I,” Acta Mathematica, 115
1966
Earlier work this paper cites.
S. Kochen and E. P. Specker, “The problem of hidden variables in quantum mechanics,” Journal of Mathematics and Mechanics, 17
1967
Earlier work this paper cites.
R. T. Rockafellar, Convex Analysis , Cambridge university press (1970)
1970
Earlier work this paper cites.
G. Ludwig, Deutung des Begriffs “physikalische Theorie” und axiomatische Grundlegung der Hilbertraumstruktur der Quantenmechanik durch Hauptsätze des Messens , volume 4 of Lecture Notes in Physics , Springer (1970)
1970
Earlier work this paper cites.
E. B. Davies and J. T. Lewis, “An operational approach to quantum probability,” Comm. Math. Phys., 17
1970
Earlier work this paper cites.
C. M. Edwards, “The operational approach to algebraic quantum theory I,” Comm. Math. Phys., 16
1970
Earlier work this paper cites.
A. Jamiołkowski, “Linear transformations which preserve trace and positive semidefiniteness of operators,” Reports on Mathematical Physics, 3
1972
Earlier work this paper cites.
I. Satake, “Linear imbeddings of self-dual homogeneous cones,” Nagoya Math. J., 46
1972
Earlier work this paper cites.
H. S. M. Coxeter, Regular Polytopes , Dover, New York, NY (1973)
1973
Earlier work this paper cites.
M.-D. Choi, “Completely positive linear maps on complex matrices,” Linear Algebra and its Applications, 10
1975
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Fourth Edition) , Elsevier Ltd. (1975)
1975
Earlier work this paper cites.
S. L. Woronowicz, “Positive Maps of Low Dimensional Matrix Algebras,” Reports on Mathematical Physics, 10
1976
Earlier work this paper cites.
A. Kirillov, Elements of the theory of representations , Springer (1976)
1976
Earlier work this paper cites.
E. Prugovečki, “Information-theoretical aspects of quantum measurement,” International Journal of Theoretical Physics, 16
1977
Earlier work this paper cites.
P. Delsarte, J.-M. Goethals, and J. J. Seidel, “Spherical Codes and Designs,” Geometriae Dedicata, 6
1977
Earlier work this paper cites.
J. E. Harriman, “Mutually Unbiased Bases and The Complementarity Polytope,” Phys. Rev. A, 17
1978
Earlier work this paper cites.
K. Devlin, Fundamentals of contemporary set theory , Springer-Verlang (1979)
1979
Earlier work this paper cites.
D. Finkelstein, J. Jauch, and D. Speiser, “Notes on quaternion quantum mechanics,” Logico-algebraic approach to quantum mechanics II, pages 367–421 (1979)
1979
Earlier work this paper cites.
G. Kelly and M. Laplaza, “Coherence for compact closed categories,” Journal of Pure and Applied Algebra, 19
1980
Earlier work this paper cites.
E. M. Alfsen, H. Hanche-Olsen, and F. W. Shultz, “State spaces of C*-algebras,” Acta Mathematica, 144
1980
Earlier work this paper cites.
H. Araki, “On a Characterization of the State Space of Quantum Mechanics,” Comm. Math. Phys., 75
1980
Earlier work this paper cites.
H. Upmeier, “Derivations of Jordan C ∗ C^{\ast} -algebras,” Math. Scand., 46
1980
Earlier work this paper cites.
J. S. Bell, “Bertlmann’s socks and the nature of reality,” Le Journal de Physique Colloques, 42
1981
Earlier work this paper cites.
A. Neumaier, “Combinatorial configurations in terms of distances,” Depart. of Mathematics Memorandum 81-09, Eindhoven University of Technology (1981)
1981
Earlier work this paper cites.
I. D. Ivanovic, “Geometrical description of quantal state determination,” J. Phys. A: Math. Gen., 14
1981
Earlier work this paper cites.
A. Aspect, P. Grangier, and G. Roger, “Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment
1982
Earlier work this paper cites.
S. G. Hoggar, “t-designs in projective spaces,” Europ. J. Combin., 69
1982
Earlier work this paper cites.
S. G. Hoggar, “t-Designs with General Angle Set,” European Journal of Combinatorics, 13
1982
Earlier work this paper cites.
A. Holevo, Probabilistic and Statistical Aspects of Quantum Mechanics , North-Holland (1982)
1982
Earlier work this paper cites.
H. Hanche-Olsen, “On the structure and tensor products of JC-algebras,” Can. J. Math., 35
1983
Earlier work this paper cites.
H. Hanche-Olsen, “On the structure and tensor products of JC-algebras,” Can. J. Math., 35
1983
Earlier work this paper cites.
P. D. Seymour and T. Zaslavsky, “Averaging sets: a generalization of mean values and spherical designs,” Adv. Math., 52
1984
Earlier work this paper cites.
S. G. Hoggar, “Parameters of t-Designs in FPd-1,” European Journal of Combinatorics, 5
1984
Earlier work this paper cites.
C. H. Bennett and G. Brassard, “Quantum cryptography: Public key distribution and coin tossing.” in Proc. of IEEE International Conference on Computers, Systems and Signal Processing, (Bangalore, India) (1984), pages 175–179
1984
Earlier work this paper cites.
H. Hanche-Olsen and E. Størmer, Jordan Operator Algebras , Pitman (1984)
1984
Earlier work this paper cites.
M. L. Curtis, Matrix Groups , Springer (1984)
1984
Earlier work this paper cites.
W. K. Wootters, “Quantum mechanics without probability amplitudes,” Foundations of physics, 16
1986
Earlier work this paper cites.
N. Bohr, Essays 1958-1962 on Atomic Physics and Human Knowledge , Ox Bow Press, page 10 (1987)
1987
Earlier work this paper cites.
S. G. Hoggar, “Tight 4 and 5-Designs in Projective Spaces,” Graphs and Combinatorics, 5
1989
Earlier work this paper cites.
W. K. Wootters and B. D. Fields, “Optimal state-determination by mutually unbiased measurements,” Ann. Phys., 81
1989
Earlier work this paper cites.
R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Physical Review A, 40
1989
Earlier work this paper cites.
J. Hilgert, K. N. Hoffmann, and J. Lawson, Lie Groups, Convex Cones and Semigroups , Oxford (1989)
1989
Earlier work this paper cites.
J. S. Bell, “Against ‘measurement’,” Physics World, pages 33–40 (August, 1990)
1990
Earlier work this paper cites.
A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett., 67
1991
Earlier work this paper cites.
P. Busch, “Informationally complete sets of physical quantities,” International Journal of Theoretical Physics, 30
1991
Earlier work this paper cites.
T. Yokonuma, Tensor Spaces and Exterior Algebra , 108, American Mathematical Soc. (1992)
1992
Earlier work this paper cites.
C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states,” Phys. Rev. Lett., 69
1992
Earlier work this paper cites.
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett., 70
1993
Earlier work this paper cites.
P. W. Shor, “Algorithms for Quantum Computation: Discrete Logarithms and Factoring,” in Proc. 35th Annu. Symp. Foundations of Computer Science , edited by S. Goldwasser (1994), pages 124–134
1994
Earlier work this paper cites.
R. D. Sorkin, “Quantum Mechanics as Quantum Measure Theory,” Modern Physics Letters A, 09
1994
Earlier work this paper cites.
J. Faraut and A. Koranyi, Analysis on Symmetric Cones , Oxford University Press (1994)
1994
Earlier work this paper cites.
S. Popescu and D. Rohrlich, “Quantum nonlocality as an axiom,” Foundations of Physics, 24
1994
Earlier work this paper cites.
E. P. Wigner, “Remarks on the Mind-Body Question,” in Philosophical Reflections and Syntheses , edited by M. Jagdish, Springer Berlin Heidelberg, pages 247–260 (1995)
1995
Earlier work this paper cites.
G. Mahler and V. A. Weberruss, Quantum Networks: Dynamics of Open Nanostructures , Springer, Berlin (1995)
1995
Earlier work this paper cites.
J. C. Baez and J. Dolan, “Higher-dimensional Algebra and Topological Quantum Field Theory,” Jour. Math. Phys., 36
1995
Earlier work this paper cites.
F. B. Jamjoom, “On the tensor products of JW-algebras,” Can. J. Math., 47
1995
Earlier work this paper cites.
A. Peres, “Separability Criterion for Density Matrices,” Physical Review Letters, 77
1996
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, “Separability of Mixed States: Necessary and Sufficient Conditions,” Physics Letters A, 223
1996
Earlier work this paper cites.
A. S. Schwarz, Topology for Physicists , Springer (1996)
1996
Cited alongside, same era.
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A, 54
1996
Cited alongside, same era.
S. Lloyd, “The capacity of the noisy quantum channel,” Phys. Rev. A, 85
1997
Cited alongside, same era.
N. Gisin and S. Massar, “Optimal Quantum Cloning Machines,” Physical Review Letters, 79
1997
Cited alongside, same era.
S. Mac Lane, Categories for the Working Mathematician , Springer, 2nd edition (1997)
1997
Cited alongside, same era.
P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics , Springer Science & Business Media (1997)
1997
E. Paquette, Categorical Quantum Computation , Ph.D. thesis, Universite de Montreal (2009)
2009
Later among the works it cites.
W. Edwards, Non-locality in Categorical Quantum Mechanics , Ph.D. thesis, University of Oxford (2009)
2009
Later among the works it cites.
M. McKague, M. Mosca, and N. Gisin, “Simulating Quantum Systems Using Real Hilbert Spaces,” Phys. Rev. Lett., 102
2009
Later among the works it cites.
M. McKague, “Quaternionic quantum mechanics allows non-local boxes,” (2009). arxiv:0911.1761
2009
Later among the works it cites.
C. A. Fuchs, “QBism, the Perimeter of Quantum Bayesianism,” arXiv:1003.5209 [quant-ph] (2010)
2010
Later among the works it cites.
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Cited alongside, same era.
E. M. Rains, “Entanglement purification via separable superoperators,” arXiv:quant-ph/9707002 (1997)
1997
Cited alongside, same era.
V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, “Quantifying Entanglement,” Phys. Rev. Lett., 78
1997
Cited alongside, same era.
V. Levenshtein, “On Designs in Compact Metric Spaces and a Universal Bound on Their Size,” Discrete Mathematics, 192
1998
Cited alongside, same era.
D. Bruß, “Optimal eavesdropping in quantum cryptography with six states,” Phys. Rev. Lett., 81
1998
Cited alongside, same era.
W. K. Wootters, “Quantum entanglement as a quantifiable resource,” Phil. Trans. R. Soc. Lond. A, 356
1998
Cited alongside, same era.
W. K. Wootters, “Entanglement of Formation of an Arbitrary State of Two Qubits,” Phys. Rev. Lett., 80
1998
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information , Cambridge university press (2010)
2010
Later among the works it cites.
S. Gharibian, “Strong NP-hardness of the Quantum Separability Problem,” Quantum Information and Computation, 10
2010
Later among the works it cites.
R. B. A. Adamson and A. M. Steinberg, “Improving quantum state estimation with mutually unbiased bases,” Phys. Rev. Lett., 105
2010
Later among the works it cites.
A. J. Scott and M. Grassl, “Symmetric informationally complete positive-operator-valued measures: A new computer study,” Journal of Mathematical Physics, 51
2010
Later among the works it cites.
T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O�Brien, “Quantum computers,” Nature, 464
2010
Later among the works it cites.
H. Zhu, “SIC POVMs and Clifford groups in Prime Dimensions,” J. Phys. A: Math. Theor., 43
2010
Later among the works it cites.
T. Durt, B.-G. Englert, I. Bengtsson, and K. Zyczkowski, “On Mutually Unbiased Bases,” International Journal of Quantum Information, 8
2010
Later among the works it cites.
A. Uhlmann, “Roofs and Convexity,” Entropy, 12
2010
Later among the works it cites.
G. Zauner, Quantendesigns, Grundzüge einer nichtkommutativen Designtheorie (in German) , Ph.D. thesis, University of Vienna (1999). [English translation: G. Zauner, Int. J. Quantum Inf. 9
2011
Later among the works it cites.
L. Hardy, “Reformulating and Reconstructing Quantum Theory,” arXiv:1104.2066 [quant-ph] (2011)
2011
Later among the works it cites.
B. Dakić and Brukner, “Quantum Theory and Beyond: Is Entanglement Special?” in Deep Beauty: Understanding the Quantum World through Mathematical Innovation , edited by H. Halvorson, Cambridge University Press, pages 365–392 (2011)
2011
Later among the works it cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Informational derivation of quantum theory,” Phys. Rev. A, 84
2011
Later among the works it cites.
L. Masanes and M. P. Müller, “A derivation of quantum theory from physical requirements,” New Journal of Physics, 13
2011
Later among the works it cites.
L. Hardy, “The third quantum foundations revolution,” Presented at the Institute for Quantum Computing, Waterloo, Canada on Novemeber 24, 2011 (2011)
2011
Later among the works it cites.
J. Watrous, “Theory of Quantum Information,” Available at https://cs.uwaterloo.ca/~watrous/LectureNotes.html (2011)
2011
Later among the works it cites.
A. Fernández-Pérez, A. B. Klimov, and C. Saavedra, “Quantum process reconstruction based on mutually unbiased basis,” Phys. Rev. A, 83
2011
Later among the works it cites.
D. M. Appleby, S. T. Flammia, and C. A. Fuchs, “The Lie algebraic significance of symmetric informationally complete measurements,” Journal of Mathematical Physics, 52
2011
Later among the works it cites.
P. Raynal, X. Lü, and B.-G. Englert, “Mutually Unbiased Bases in Six Dimensions: The Four Most Distant Bases,” Phys. Rev. A, 83
2011
Later among the works it cites.
M. Wieśniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys., 13
2011
Later among the works it cites.
M. A. Graydon, Quaternions and Quantum Theory , Master’s thesis, University of Waterloo, Waterloo, Canada (2011)
2011
Later among the works it cites.
B. Coecke and B. Edwards, “Toy quantum categories,” Electronic Notes in Theoretical Computer Science, 270
2011
Later among the works it cites.
X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, B. Wittmann, A. Mech, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature, 489
2012
Later among the works it cites.
E. Martín-López, A. Laing, T. Lawson, R. Alvarez, X.-Q. Zhou, and J. L. O’Brien, “Experimental realization of Shor’s quantum factoring algorithm using qubit recycling,” Nature Photonics, 6
2012
Later among the works it cites.
M. P. Müller and C. Ududec, “Structure of Reversible Computation Determines the Self-Duality of Quantum Theory,” Phys. Rev. Lett., 108
2012
Later among the works it cites.
H. Barnum, J. Barrett, M. Leifer, and A. Wilce, “Teleportation in General Probabilistic Theories,” in Mathematical Foundations of Information Flow , edited by S. Abramsky and M. Mislove, Proc. of Symposia in Applied Mathematics, volume 71, pages 25–47 (2012)
2012
Later among the works it cites.
C. Ududec, “The closest cousins of quantum theory from three simple principles,” PIRSA:12080007 (2012)
2012
Later among the works it cites.
E. M. Alfsen and F. W. Shultz, Geometry of State Spaces of Operator Algebras , Springer Science & Business Media (2012)
2012
Later among the works it cites.
J. L. Kelley and T. P. Srinivasan, Measure and Integral , Springer Science & Business Media (2012)
2012
Later among the works it cites.
H. Zhu, Quantum State Estimation and. Symmetric Informationally Complete POMs , Ph.D. thesis, National University of Singapore (2012)
2012
Later among the works it cites.
G. N. M. Tabia, “Experimental scheme for qubit and qutrit symmetric informationally complete positive operator-valued measurements using multiport devices,” Phys. Rev. A, 86
2012
Later among the works it cites.
C. Spengler, M. Huber, S. Brierley, T. Adaktylos, and B. C. Hiesmayr, “Entanglement detection via mutually unbiased bases,” Phys. Rev. A, 86
2012
Later among the works it cites.
D. M. Appleby, I. Bengtsson, S. Brierley, M. Grassl, D. Gross, and J.-Å. Larsson, “The Monomial Representations of the Clifford Group,” Quantum Info. Comput., 12
2012
Later among the works it cites.
L. Hardy and W. K. Wootters, “Limited Holism and Real-Vector-Space Quantum Theory,” Foundations of Physics, 42
2012
Later among the works it cites.
W. K. Wootters, “Entanglement Sharing in Real-Vector-Space Quantum Theory,” Foundations of Physics, 42
2012
Later among the works it cites.
A. Wilce, “Four and a half axioms for quantum mechanics,” in Probability in Physics , edited by Y. Ben-Menahem and M. Hemmo, Springer (2012)
2012
Later among the works it cites.
A. Wilce, “Symmetry and self-duality in categories of probabilistic models,” in Proceedings of QPL 2011 , edited by B. Jacobs, P. Selinger, and B. Spitters (2012), volume 95 of Electronic Proceedings in Theoretical Computer Science , pages 275–279
2012
Later among the works it cites.
A. Wilce, “Conjugates, Filters and Quantum Mechanics,” (2012). arXiv:1206.2897 [quant-ph]
2012
Later among the works it cites.
S. D. Bartlett, T. Rudolph, and R. W. Spekkens, “Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction,” Phys. Rev. A, 86
2012
Later among the works it cites.
R. Lal, Causal Structure in Categorical Quantum Mechanics , Ph.D. thesis, University of Oxford (2012)
2012
Later among the works it cites.
M. Müller and C. Ududec, “The structure of reversible computation determines the self-duality of quantum theory,” Phys. Rev. Lett., 108
2012
Later among the works it cites.
J. Baez, “Division algebras and quantum theory,” Found. Phys., 42
2012
Later among the works it cites.
B. Unruh, “Quantum Mechanics and Spacetime,” PIRSA:13050060 (2013)
2013
Later among the works it cites.
S. Aaronson, Quantum Computing Since Democritus , Cambridge University Press (2013)
2013
Later among the works it cites.
A. W. Harrow, “The Church of the Symmetric Subspace,” arXiv:1308.6595 [quant-ph] (2013)
2013
Later among the works it cites.
M. Mafu, A. Dudley, S. Goyal, D. Giovannini, M. McLaren, M. J. Padgett, T. Konrad, F. Petruccione, N. Lütkenhaus, and A. Forbes, “Higher-dimensional orbital-angular-momentum-based quantum key distribution with mutually unbiased bases,” Phys. Rev. A, 88
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.
C. A. Fuchs and R. Schack, “Quantum-Bayesian coherence,” Rev. Mod. Phys., 85
2013
Later among the works it cites.
D. M. Appleby, H. Yadsan-Appleby, and G. Zauner, “Galois Automorphisms of a Symmetric Measurement,” Quantum Info. Comput., 13
2013
Later among the works it cites.
G. N. Tabia, Geometry of Quantum States from Symmetric Informationally Complete Probabilities , Ph.D. thesis, University of Waterloo (2013)
2013
Later among the works it cites.
I. Bengtsson, S. Weis, and K. Życzkowski, “Geometry of the Set of Mixed Quantum States: An Apophatic Approach,” in Geometric Methods in Physics: XXX Workshop, Białowieża, Poland, June 26 to July 2, 2011 , edited by P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, and T. Voronov, Springer Basel, Basel, pages 175–197 (2013)
2013
Later among the works it cites.
A. Kalev and J. Bae, “Optimal approximate transpose map via quantum designs and its applications to entanglement detection,” Phys. Rev. A, 87
2013
Later among the works it cites.
2013
Later among the works it cites.
M. A. Graydon, “Quaternionic Quantum Dynamics on Complex Hilbert Spaces,” Foundations of Physics, 43
2013
Later among the works it cites.
C. A. Fuchs, N. D. Mermin, and R. Schack, “An Introduction to QBism with an Application to the Locality of Quantum Mechanics,” Am. J. Phys., 82
2014
Later among the works it cites.
M. Zukowski and C. Brukner, “Quantum non-locality – It ain’t necessarily so…” J. Phys. A: Math. Theor., 47
2014
Later among the works it cites.
H. Barnum, M. P. Müller, and C. Ududec, “Higher-order interference and single-system postulates characterizing quantum theory,” New J. Phys., 16
2014
Later among the works it cites.
J. Diestel and A. Spalsbury, The Joys of Haar Measure , American Mathematical Soc. (2014)
2014
Later among the works it cites.
D. M. Appleby, I. Bengtsson, S. Brierley, Å. Ericsson, M. Grassl, and J.-Å. Larsson, “Systems of Imprimitivity for the Clifford Group,” Quantum Info. Comput., 14
2014
Later among the works it cites.
D. M. Appleby, H. B. Dang, and C. A. Fuchs, “Symmetric Informationally-Complete Quantum States as Analogues to Orthonormal Bases and Minimum-Uncertainty States,” Entropy, 16
2014
Later among the works it cites.
A. J. Scott, Private Communication (2014)
2014
Later among the works it cites.
A. Kalev and G. Gour, “Mutually unbiased measurements in finite dimensions,” New J. Phys., 16
2014
Later among the works it cites.
G. Gour and A. Kalev, “Construction of all General Symmetric Informationally Complete Measurements,” Journal of Physics A: Mathematical and Theoretical, 47
2014
Later among the works it cites.
M. Dall’Arno, “Accessible Information and Informational Power of Quantum 2-designs,” Phys. Rev. A, 90
2014
Later among the works it cites.
E. Chitambar, D. Leung, L. Mančinska, M. Ozols, and A. Winter, “Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask),” Communications in Mathematical Physics, 328
2014
Later among the works it cites.
B. Chen, T. Ma, and S.-M. Fei, “Entanglement detection using mutually unbiased measurements,” Phys. Rev. A, 89
2014
Later among the works it cites.
D. Chruściński and G. Sarbicki, “Entanglement witnesses: construction, analysis and classification,” J. Phys. A: Math. Theor., 47
2014
Later among the works it cites.
2014
Later among the works it cites.
H. Barnum, M. A. Graydon, and A. Wilce, “Some Nearly Quantum Theories,” in Electronic Proceedings in Theoretical Computer Science (Proceedings 12th International Workshop on Quantum Physics and Logic) , edited by C. Heunen, P. Selinger, and J. Vicary (2015), volume 195, pages 59–70
2015
Later among the works it cites.
B. Hensen, H. Bernien, A. E. Dréau, A. Reiserer, N. Kalb, M. S. Blok, J. Ruitenberg, R. F. L. Vermeulen, R. N. Schouten, C. Abellán, W. Amaya, V. Pruneri, M. W. Mitchell, M. Markham, D. J. Twitchen, D. Elkouss, S. Wehner, T. H. Taminiau, and R. Hanson, “Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres,” Nature, 526
2015
Later among the works it cites.
M. Giustina, M. A. Versteegh, S. Wengerowsky, J. Handsteiner, A. Hochrainer, K. Phelan, F. Steinlechner, J. Kofler, J.-Å. Larsson, C. Abellán, W. Amaya, V. Pruneri, M. W. Mitchell, J. Beyer, T. Gerrits, A. E. Lita, L. K. Shalm, S. W. Nam, T. Scheidl, R. Ursin, B. Wittmann, and A. Zeilinger, “Significant-loophole-free test of Bell�s theorem with entangled photons,” Physical review letters, 115
2015
Later among the works it cites.
L. K. Shalm, E. Meyer-Scott, B. G. Christensen, P. Bierhorst, M. A. Wayne, M. J. Stevens, T. Gerrits, S. Glancy, D. R. Hamel, M. S. Allman, K. J. Coakley, S. D. Dyer, C. Hodge, A. E. Lita, V. B. Verma, C. Lambrocco, E. Tortorici, A. L. Migdall, Y. Zhang, D. R. Kumor, W. H. Farr, F. Marsili, M. D. Shaw, J. A. Stern, C. Abellán, W. Amaya, V. Pruneri, T. Jennewein, M. W. Mitchell, P. G. Kwiat, J. C. Bienfang, R. P. Mirin, E. Knill, and S. W. Nam, “Strong Loophole-Free Test of Local Realism,” Phys. Rev. Lett., 115
2015
Later among the works it cites.
T. W. Hänsch, “What can we say about the quantum world?” Keynote Lecture, Quantum Theory: from Foundations to Technologies, Linnaeus University, Växjö, Sweden (2015)
2015
Later among the works it cites.
G. Chiribella and C. M. Scandolo, “Entanglement and thermodynamics in general probabilistic theories,” New J. Phys., 17
2015
Later among the works it cites.
I. E. Leonard and J. E. Lewis, Geometry of Convex Sets , John Wiley & Sons (2015)
2015
Later among the works it cites.
B. C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction , Springer (2015)
2015
Later among the works it cites.
B. Chen, T. Li, and S.-M. Fei, “General SIC measurement-based entanglement detection,” Quantum Information Processing, 14
2015
Later among the works it cites.
D. M. Appleby, C. A. Fuchs, and H. Zhu, “Group Theoretic, Lie Algebraic and Jordan Algebraic Formulations of the SIC Existence Problem,” Quantum Info. Comput., 15
2015
Later among the works it cites.
H. Zhu, “Super-symmetric informationally complete measurements,” Annals of Physics, 362
2015
Later among the works it cites.
H. B. Dang, Studies of Symmetries that Give Special Quantum States Right to Exist , Ph.D. thesis, University of Waterloo (2015)
2015
Later among the works it cites.
L. Liu, T. Gao, and F. Yan, “Separability criteria via sets of mutually unbiased measurements,” Scientific Reports, 5
2015
Later among the works it cites.
S.-Q. Shen, M. Li, and X.-F. Duan, “Entanglement detection via some classes of measurements,” Phys. Rev. A, 91
2015
Later among the works it cites.
M. A. Graydon and D. M. Appleby, “Quantum Conical Designs,” J. Phys. A: Math. Theor., 49
2016
Later among the works it cites.
M. A. Graydon and D. M. Appleby, “Entanglement and Designs,” J. Phys. A: Math. Theor. (2016). Accepted, to appear
2016
Later among the works it cites.
2016
Later among the works it cites.
H. Barnum and A. Wilce, “Post-Classical Probability Theory,” in Quantum Theory: Informational Foundations and Foils , edited by G. Chiribella and R. W. Spekkens, Springer, pages 367–420 (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.
G. Chiribella and R. W. Spekkens, Quantum Theory: Informational Foundations and Foils , Springer (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.