Fetching the paper…
Reading the bibliography…
While complex numbers are essential in mathematics, they are not needed to describe physical experiments, expressed in terms of probabilities, hence real numbers.
E. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40
1932
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.
D. Bohm, A suggested interpretation of the quantum theory in terms of ”hidden” variables. i, Phys. Rev. 85
1952
Earlier work this paper cites.
J. von Neumann and R. Beyer, Mathematical Foundations of Quantum Mechanics , Goldstine Printed Materials (Princeton University Press, 1955)
1955
Earlier work this paper cites.
P. Dirac, The Principles of Quantum Mechanics , International series of monographs on physics (Clarendon Press, 1958)
1958
Earlier work this paper cites.
E. C. Stueckelberg, Quantum theory in real hilbert space, Helv. Phys. Acta 33
1960
Earlier work this paper cites.
F. J. Dyson, The threefold way. algebraic structure of symmetry groups and ensembles in quantum mechanics, Journal of Mathematical Physics 3
1962
Earlier work this paper cites.
C. Piron, Axiomatique quantique, Helvetica physica acta 37
1964
Earlier work this paper cites.
J. S. Bell, On the Einstein, Podolsky, Rosen paradox, Physics Physique Fizika 1
1964
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed experiment to test local hidden-variable theories, Phys. Rev. Lett. 23
1969
Earlier work this paper cites.
D. Buchholz, Product states for local algebras, Commun. Math. Phys. 36
1974
Earlier work this paper cites.
R. Shankar, Principles of quantum mechanics (Plenum, New York, 1980)
1980
Earlier work this paper cites.
S. J. Summers, Normal product states for fermions and twisted duality for ccr- and car-type algebras with application to the yukawa2 quantum field model, Commun. Math. Phys. 86
1982
Earlier work this paper cites.
R. Werner, Local preparability of states and the split property in quantum field theory, Lett. Math. Phys. 13
1987
Earlier work this paper cites.
D. Buchholz and P. Jacobi, On the nuclearity condition for massless fields, Lett. Math. Phys. 13
1987
Earlier work this paper cites.
W. K. Wootters, Complexity, entropy, and the physics of information (Addison-Wesley, 1990) Chap. Local Accessibility of Quantum States
1990
Earlier work this paper cites.
L. Vandenberghe and S. Boyd, Semidefinite programming, SIAM Review 38
1996
Earlier work this paper cites.
C. M. Caves, C. A. Fuchs, and P. Rungta, Entanglement of formation of an arbitrary state of two rebits, Foundations of Physics Letters 14
2001
Earlier work this paper cites.
J. Calsamiglia and N. Lütkenhaus, Maximum efficiency of a linear-optical bell-state analyzer, Applied Physics B 72
2001
Earlier work this paper cites.
L. Hardy, Quantum theory from five reasonable axioms (2001)
2001
Cited alongside, same era.
C. M. Caves, C. A. Fuchs, and R. Schack, Unknown quantum states: The quantum de finetti representation, Journal of Mathematical Physics 43
2002
Cited alongside, same era.
J. Löfberg, Yalmip : A toolbox for modeling and optimization in matlab, in Proceedings of the CACSD Conference (Taipei, Taiwan, 2004)
2004
Cited alongside, same era.
M. Navascués, S. Pironio, and A. Acín, Bounding the set of quantum correlations, Phys. Rev. Lett. 98
2007
Cited alongside, same era.
N. Brunner, S. Pironio, A. Acin, N. Gisin, A. A. Méthot, and V. Scarani, Testing the dimension of hilbert spaces, Phys. Rev. Lett. 100
2008
Cited alongside, same era.
M. McKague, T. H. Yang, and V. Scarani, Robust self-testing of the singlet, Journal of Physics A: Mathematical and Theoretical 45
2012
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.
A. Aleksandrova, V. Borish, and W. K. Wootters, Real-vector-space quantum theory with a universal quantum bit, Physical Review A 87
2013
Later among the works it cites.
T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne, Device-independent entanglement quantification and related applications, Phys. Rev. Lett. 111
2013
Later among the works it cites.
A. Acín, S. Pironio, T. Vértesi, and P. Wittek, Optimal randomness certification from one entangled bit, Phys. Rev. A 93
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K. F. Pál and T. Vértesi, Efficiency of higher-dimensional hilbert spaces for the violation of bell inequalities, Phys. Rev. A 77
2008
Cited alongside, same era.
M. Navascués, S. Pironio, and A. Acín, A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations, New J. Phys. 10
2008
Cited alongside, same era.
M. McKague, M. Mosca, and N. Gisin, Simulating quantum systems using real hilbert spaces, Phys. Rev. Lett. 102
2009
Cited alongside, same era.
N. Gisin, Bell inequalities: Many questions, a few answers, in Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle: Essays in Honour of Abner Shimony (Springer Netherlands, Dordrecht, 2009) pp. 125–138
2009
Cited alongside, same era.
2009
Cited alongside, same era.
C. Branciard, N. Gisin, and S. Pironio, Characterizing the nonlocal correlations created via entanglement swapping, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
S. Pironio, M. Navascués, and A. Acín, Convergent relaxations of polynomial optimization problems with noncommuting variables, SIAM Journal on Optimization 20
2010
Cited alongside, same era.
T. Fritz, Beyond Bell’s theorem II: Scenarios with arbitrary causal structure, Communications in Mathematical Physics 341
2016
Later among the works it cites.
D. Elkouss and S. Wehner, (nearly) optimal p-values for all bell inequalities, npj Quantum Information 2
2016
Later among the works it cites.
G. Carvacho, F. Andreoli, L. Santodonato, M. Bentivegna, R. Chaves, and F. Sciarrino, Experimental violation of local causality in a quantum network, Nature Communications 8
2017
Later among the works it cites.
D. J. Saunders, A. J. Bennet, C. Branciard, and G. J. Pryde, Experimental demonstration of nonbilocal quantum correlations, Science Advances 3
2017
Later among the works it cites.
V. Moretti and M. Oppio, Quantum theory in real hilbert space: How the complex hilbert space structure emerges from poincaré symmetry, Reviews in Mathematical Physics 29
2017
Later among the works it cites.
J. Bowles, I. Šupić, D. Cavalcanti, and A. Acín, Self-testing of pauli observables for device-independent entanglement certification, Phys. Rev. A 98
2018
Later among the works it cites.
M. O. Renou, J. m. k. Kaniewski, and N. Brunner, Self-testing entangled measurements in quantum networks, Phys. Rev. Lett. 121
2018
Later among the works it cites.
J.-D. Bancal, N. Sangouard, and P. Sekatski, Noise-resistant device-independent certification of bell state measurements, Phys. Rev. Lett. 121
2018
Later among the works it cites.
J. Watrous, The theory of quantum information (Cambridge University Press, 2018)
2018
Later among the works it cites.
Q.-C. Sun, Y.-F. Jiang, B. Bai, W. Zhang, H. Li, X. Jiang, J. Zhang, L. You, X. Chen, Z. Wang, Q. Zhang, J. Fan, and J.-W. Pan, Experimental violation of local causality in a quantum network, Nature Photonics 13
2019
Later among the works it cites.
M. Araújo, F. Hirsch, and M. T. Quintino, Bell nonlocality with a single shot, Quantum 4
2020
Later among the works it cites.
G. M. D’Ariano, M. Erba, and P. Perinotti, Classicality without local discriminability: Decoupling entanglement and complementarity, Phys. Rev. A 102
2020
Later among the works it cites.
A. Wilce, Quantum Logic and Probability Theory, in The Stanford Encyclopedia of Philosophy , edited by E. N. Zalta (Metaphysics Research Lab, Stanford University, 2021) Fall 2021 ed
2021
Closest in time.
K.-D. Wu, T. V. Kondra, S. Rana, C. M. Scandolo, G.-Y. Xiang, C.-F. Li, G.-C. Guo, and A. Streltsov, Operational resource theory of imaginarity, Phys. Rev. Lett. 126
2021
Closest in time.