Fetching the paper…
Reading the bibliography…
We provide a reformulation of finite dimensional quantum theory in the circuit framework in terms of mathematical axioms, and a reconstruction of quantum theory from operational postulates.
The logic of quantum mechanics
G. Birkhoff and J. von Neumann · 1936
Earlier work this paper cites.
Transformation groups of spheres
D. Montgomery and H. Samelson · 1943
Earlier work this paper cites.
Some remarks about Lie groups transitive on spheres and tori
A. Borel · 1949
Earlier work this paper cites.
The mathematical foundations of quantum mechanics: a lecture-note volume
G. W. Mackey · 1963
Earlier work this paper cites.
Axiomatique quantique Helv. Phys
C. Piron · 1964
Earlier work this paper cites.
On the algebraic structure of quantum mechanics
J. Gunson · 1967
Earlier work this paper cites.
Theory of filters
B. Mielnik · 1969
Earlier work this paper cites.
Representations of groups
H. Boerner · 1970
Earlier work this paper cites.
An operational approach to quantum probability
E. B. Davies and J. T. Lewis · 1970
Earlier work this paper cites.
Axioms for non-relativistic quantum mechanics
N. Zierler · 1975
Earlier work this paper cites.
Empirical logic and tensor products
D. J. Foulis and C. H. Randall · 1979
Earlier work this paper cites.
On a characterization of the state space of quantum mechanics
H. Araki · 1980
Earlier work this paper cites.
On the actual measurability of the density matrix of a decaying system by means of measurements on the decay products
S. Bergia, F. Cannata, A. Cornia, and R. Livi · 1980
Earlier work this paper cites.
Quantum mechanics without probability amplitudes
W. K. Wootters · 1986
Earlier work this paper cites.
An axiomatic basis of quantum mechanics
G. Ludwig · 1987
Earlier work this paper cites.
Local Accessibility of Quantum States
W. K. Wootters · 1990
Earlier work this paper cites.
Spacetime and causal sets
R. D. Sorkin · 1991
Earlier work this paper cites.
How interference effects in mixtures determine the rules of quantum mechanics
D. I. Fivel · 1994
Earlier work this paper cites.
Quantum mechanics as quantum measure theory
R. D. Sorkin · 1994
Earlier work this paper cites.
Mathematical foundations of quantum mechanics
J. von Neumann · 1996
Earlier work this paper cites.
Probabilistic cloning and identification of linearly independent quantum states
L. M. Duan and G. C. Guo · 1998
Earlier work this paper cites.
What is quantum mechanics trying to tell us?
N. D. Mermin · 1998
Earlier work this paper cites.
Convex and linear effect algebras
S. Gudder, S. Pulmannová, S. Bugajski, and E. Beltrametti · 1999
Earlier work this paper cites.
Quantum causal histories
F. Markopoulou · 2000
Earlier work this paper cites.
Quantum computation and quantum information
M.A. Nielsen and I. Chuang · 2000
Earlier work this paper cites.
Quantum theory from five reasonable axioms
L. Hardy · 2001
Earlier work this paper cites.
Quantum mechanics as quantum information (and only a little more)
C. A. Fuchs · 2002
Cited alongside, same era.
Philosophical theories of probability
D. Gillies · 2002
Cited alongside, same era.
Discrete quantum causal dynamics
R. F. Blute, I. T. Ivanov, and P. Panangaden · 2003
Cited alongside, same era.
Characterizing quantum theory in terms of information-theoretic constraints
R. Clifton, J. Bub, and H. Halvorson · 2003
Cited alongside, same era.
Hardy’s Second Axiom is insufficiently general
K. A. Kirkpatrick · 2003
Cited alongside, same era.
A general boundary formulation for quantum mechanics and quantum gravity
R. Oeckl · 2003
Cited alongside, same era.
Operational structures and natural postulates for quantum theory, PIRSA:09080011 (can be viewed at http://pirsa.org/09080011/)
L. Hardy · 2009
Later among the works it cites.
Operational structures as a foundation for probabilistic theories, PIRSA:09080011 (can be viewed at http://pirsa.org/09080011/)
L. Hardy · 2009
Later among the works it cites.
Quantum Gravity Computers: On the Theory of Computation with Indefinite Causal Structure
L. Hardy · 2009
Later among the works it cites.
Steps towards a unified basis for scientific models and methods
I. S. Helland · 2009
Later among the works it cites.
Entropy for theories with indefinite causal structure
S. Markes and L. Hardy · 2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Abramsky and B. Coecke · 2004
Cited alongside, same era.
Why is nature described by quantum theory
L. Hardy · 2004
Cited alongside, same era.
Probability theories with dynamic causal structure: A new framework for quantum gravity
L. Hardy · 2005
Cited alongside, same era.
Quantum causal networks, PIRSA:06060063 (can be viewed at http://pirsa.org/06060063)
M. Leifer · 2006
Cited alongside, same era.
Information processing in generalized probabilistic theories
J. Barrett · 2007
Cited alongside, same era.
Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure
L. Hardy · 2007
Cited alongside, same era.
G. Niestegge · 2009
Later among the works it cites.
On quantum vs. classical probability
J. Rau · 2009
Later among the works it cites.
Four and a half axioms for finite dimensional quantum mechanics
A. Wilce · 2009
Later among the works it cites.
Informational derivation of Quantum Theory
G. Chiribella, G. M. D’Ariano, and P. Perinotti · 2010
Later among the works it cites.
Probabilistic theories with purification
G. Chiribella, G.M. DAriano, and P. Perinotti · 2010
Later among the works it cites.
Quantum picturalism
B. Coecke · 2010
Later among the works it cites.
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms
D. I. Fivel · 2010
Later among the works it cites.
QBism, the Perimeter of Quantum Bayesianism
C. A. Fuchs · 2010
Later among the works it cites.
A quantum-Bayesian route to quantum-state space
C. A. Fuchs and R. Schack · 2010
Later among the works it cites.
Origin of complex quantum amplitudes and Feynmans rules
P. Goyal, K. H. Knuth, and J. Skilling · 2010
Later among the works it cites.
A formalism-local framework for general probabilistic theories including quantum theory
L. Hardy · 2010
Later among the works it cites.
The duotenzor drawing package, available at http://tug.ctan.org/tex-archive/graphics/duotenzor/, 2010
L. Hardy · 2010
Later among the works it cites.
Formalism locality in quantum theory and quantum gravity
L. Hardy · 2010
Later among the works it cites.
Limited Holism and Real-Vector-Space Quantum Theory
L. Hardy and W. K. Wootters · 2010
Later among the works it cites.
A derivation of quantum theory from physical requirements
L. Masanes and M. P. Mueller · 2010
Later among the works it cites.
Measurement-based quantum foundations
J. Rau · 2010
Later among the works it cites.
Ruling Out Multi-Order Interference in Quantum Mechanics
U. Sinha, C. Couteau, T. Jennewein, R. Laflamme, and G. Weihs · 2010
Later among the works it cites.
Three Slit Experiments and the Structure of Quantum Theory
C. Ududec, H. Barnum, and J. Emerson · 2010
Later among the works it cites.
Space-time, quantum mechanics and scattering amplitudes, PIRSA:11010111 (can be viwed at http://pirsa.org/11010111/)
N. Arkani-Hamed · 2011
Closest in time.
Information processing in convex operational theories
H. Barnum and A. Wilce · 2011
Closest in time.