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Quantum theory shares with classical probability theory many important properties.
Mathematische Grundlagen
J. v. Neumann · 1932
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On an algebraic generalization of the quantum mechanical formalism
P. Jordan, J. v. Neumann, and E. Wigner · 1934
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Can quantum-mechanical description of physical reality be considered complete?
N. Bohr · 1935
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Can quantum-mechanical description of physical reality be considered complete?
A. Einstein, B. Podolsky, and N. Rosen · 1935
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The logic of quantum mechanics
G. Birkhoff and J. v. Neumann · 1936
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Spectral functions of a symmetric operator
M. A. Neumark · 1940
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On the embedding of normed rings into the ring of operators in Hilbert
I. M. Gelfand and M. A. Neumark · 1943
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Probability, frequency and reasonable expectation
R. T. Cox · 1946
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Postulates for general quantum mechanics
I. E. Segal · 1947
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Die Grundlagen
G. Ludwig · 1954
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Measures on the closed subspaces of a Hilbert
A. M. Gleason · 1957
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Quantum theory in real Hilbert
E. C. G. Stueckelberg · 1960
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Foundations of quaternion quantum mechanics
D. Finkelstein, J. M. Jauch, S. Schiminovich, and D. Speiser · 1962
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Probability in physics and a theorem on simultaneous observability
V. S. Varadarajan · 1962
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Essays 1958-1962 on atomic physics and human knowledge
N. Bohr · 1963
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The mathematical foundations of quantum mechanics
G. Mackey · 1963
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An algebraic approach to quantum field theory
R. Haag and D. Kastler · 1964
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Axiomatique quantique
C. Piron · 1964
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Lattice Theory
G. Birkhoff · 1967
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Quantum mechanics of individual systems
J. B. Hartle · 1968
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Foundations of quantum mechanics
J. M. Jauch · 1968
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Pure operations and measurements
K. E. Hellwig and K. Kraus · 1969
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An operational approach to quantum probability
E. B. Davies and J. T. Lewis · 1970
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The operational approach to algebraic quantum theory I
C. M. Edwards · 1970
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Operational statistics I
D. J. Foulis and C. H. Randall · 1972
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Convex structures and operational quantum mechanics
S. Gudder · 1973
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Operational statistics II
C. H. Randall and D. J. Foulis · 1973
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Generalized quantum mechanics
B. Mielnik · 1974
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Foundations of quantum physics
C. Piron · 1976
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The Zeno’s
B. Misra and E. C. G. Sudarshan · 1977
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Where do we stand on maximum entropy?
E. T. Jaynes · 1978
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On a characterization of the state space of quantum mechanics
H. Araki · 1980
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What are quantum logics and what ought they to be?
D. J. Foulis and C. H. Randall · 1981
Cited alongside, same era.
A course in mathematical physics 3: Quantum mechanics of atoms and molecules
W. Thirring · 1981
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States, effects and operations: Fundamental notions of quantum theory
K. Kraus · 1983
Cited alongside, same era.
Law without law
J. A. Wheeler · 1983
Cited alongside, same era.
Geometry of quantum theory
V. S. Varadarajan · 1985
Cited alongside, same era.
Theory of group representations and applications
100 years of the quantum
M. Tegmark and J. A. Wheeler · 2001
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Quantum information processing and quantum logic: toward mutual illumination
H. Barnum · 2002
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Independent generating sets and geometries for symmetric groups
P. J. Cameron and P. Cara · 2002
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Quantum probabilities as Bayesian
C. M. Caves, C. A. Fuchs, and R. Schack · 2002
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Unknown quantum states: The quantum de Finetti
C. M. Caves, C. A. Fuchs, and R. Schack · 2002
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Quantum mechanics as quantum information (and only a little more)
C. A. Fuchs · 2002
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A. O. Barut and R. Raczka · 1986
Cited alongside, same era.
Quantum probability
S. Gudder · 1988
Cited alongside, same era.
Papers on probability, statistics and statistical physics
E. T. Jaynes · 1989
Cited alongside, same era.
From Microphysics to Macrophysics
R. Balian · 1991
Cited alongside, same era.
From Microphysics to Macrophysics
R. Balian · 1992
Cited alongside, same era.
Filters and supports in orthoalgebras
D. J. Foulis, R. J. Greechie, and G. T. Rüttimann · 1992
Cited alongside, same era.
M. Keyl · 2002
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Characterizing quantum theory in terms of information-theoretic constraints
R. Clifton, J. Bub, and H. Halvorson · 2003
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Probability theory: the logic of science
E. T. Jaynes · 2003
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A categorical semantics of quantum protocols
S. Abramsky and B. Coecke · 2004
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Speakable and Unspeakable in Quantum Mechanics
J. S. Bell · 2004
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It from qubit
D. Deutsch · 2004
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On the quantumness of a Hilbert
C. A. Fuchs · 2004
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Compactness and symmetry in quantum logic
A. Wilce · 2004
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Quantum Paradoxes: Quantum Theory for the Perplexed
Y. Aharonov and D. Rohrlich · 2005
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Subjective and objective probabilities in quantum mechanics
M. Srednicki · 2005
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Symmetry and topology in quantum logic
A. Wilce · 2005
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Topological test spaces
A. Wilce · 2005
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Cloning and broadcasting in generic probabilistic theories
H. Barnum, J. Barrett, M. Leifer, and A. Wilce · 2006
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Physical significance of symmetric informationally-complete sets of quantum states
D. M. Appleby, H. B. Dang, and C. A. Fuchs · 2007
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Information processing in generalized probabilistic theories
J. Barrett · 2007
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Generalized no-broadcasting theorem
H. Barnum, J. Barrett, M. Leifer, and A. Wilce · 2007
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Subjective probability and quantum certainty
C. M. Caves, C. A. Fuchs, and R. Schack · 2007
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Quantum Computer Science
N. D. Mermin · 2007
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Teleportation in general probabilistic theories
H. Barnum, J. Barrett, M. Leifer, and A. Wilce · 2008
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Quantum Bayesianism
C. G. Timpson · 2008
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The de Finetti
J. Barrett and M. Leifer · 2009
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Priors in quantum Bayesian
C. A. Fuchs and R. Schack · 2009
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A link between quantum logic and categorical quantum mechanics
J. Harding · 2009
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Symmetry and composition in probabilistic theories
A. Wilce · 2009
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