Fetching the paper…
Reading the bibliography…
The constraints arising for a general set of causal relations, both classically and quantumly, are still poorly understood.
William Heinemann Ltd, London, 1933
Aristotle, Metaphysics · 1933
Earlier work this paper cites.
University of California Press, Berkeley, 1956
H. Reichenbach, The direction of time · 1956
Earlier work this paper cites.
E. B. Davies and J. T. Lewis, “An operational approach to quantum probability,” Comm. Math. Phys
1970
Earlier work this paper cites.
A. Jamiołkowski, “Linear transformations which preserve trace and positive semidefiniteness of operators,” Rep. Math. Phys
1972
Earlier work this paper cites.
Clarendon Press, Oxford, 1975
D. Hume, “An Enquiry concerning Human Understanding,” in Enquiries concerning Human Understanding and concerning the Principles of Morals · 1975
Earlier work this paper cites.
M.-D. Choi, “Completely positive linear maps on complex matrices,” Linear Algebra Appl
1975
Earlier work this paper cites.
Studies in Applied Mathematics. Society for Industrial and Applied Mathematics, 1987
Y. Nesterov and A. Nemirovskii, Interior Point Polynomial Algorithms in Convex Programming · 1987
Earlier work this paper cites.
A. Royer, “Wigner function in Liouville space: A canonical formalism,” Phys. Rev. A
1991
Earlier work this paper cites.
Springer, Berlin, 1993
P. Spirtes, C. Glymour, and R. Scheines, Causation, Prediction and Search · 1993
Earlier work this paper cites.
A. Peres, “Separability Criterion for Density Matrices,” Phys. Rev. Lett
1996
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, “Separability of mixed states: necessary and sufficient conditions,” Phys. Lett. A
1996
Earlier work this paper cites.
P. Grangier, J. A. Levenson, and J.-P. Poizat, “Quantum non-demolition measurements in optics,” Nature
1998
Earlier work this paper cites.
Cambridge University Press, Cambridge, 2000
J. Pearl, Causality: models, reasoning, and inference · 2000
Earlier work this paper cites.
S. L. Braunstein, G. M. D’Ariano, G. J. Milburn, and M. F. Sacchi, “Universal Teleportation with a Twist,” Phys. Rev. Lett
2000
Earlier work this paper cites.
ACM, New York, NY, USA, 2003
L. Gurvits, “Classical Deterministic Complexity of Edmonds’ Problem and Quantum Entanglement,” in Proceedings of the Thirty-fifth Annual ACM Symposium on Theory of Computing · 2003
Earlier work this paper cites.
M. Steiner, “Generalized robustness of entanglement,” Phys. Rev. A
2003
Earlier work this paper cites.
Taipei, Taiwan, 2004
J. Lofberg, “YALMIP : A Toolbox for Modeling and Optimization in MATLAB,” in Proceedings of the CACSD Conference · 2004
Cited alongside, same era.
L. Hardy, “Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure,” J. Phys. A: Math. Theor
2007
Cited alongside, same era.
ACM, New York, NY, USA, 2007
G. Gutoski and J. Watrous, “Toward a General Theory of Quantum Games,” in Proceedings of the Thirty-ninth Annual ACM Symposium on Theory of Computing · 2007
Cited alongside, same era.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Quantum Circuit Architecture,” Phys. Rev. Lett
2008
Cited alongside, same era.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, “Theoretical framework for quantum networks,” Phys. Rev. A
2009
Cited alongside, same era.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, “Quantum entanglement,” Rev. Mod. Phys
M. Araújo, F. Costa, and Č. Brukner, “Computational Advantage from Quantum-Controlled Ordering of Gates,” Phys. Rev. Lett
2014
Later among the works it cites.
D. Chruściński and G. Sarbicki, “Entanglement witnesses: construction, analysis and classification,” J. Phys. A: Math. Theor
2014
Later among the works it cites.
C. J. Wood and R. W. Spekkens, “The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations require fine-tuning,” New J. Phys
2015
Later among the works it cites.
J. Pienaar and Č. Brukner, “A graph-separation theorem for quantum causal models,” New J. Phys
2015
Later among the works it cites.
R. Chaves, C. Majenz, and D. Gross, “Information–theoretic implications of quantum causal structures,” Nat. Commun
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
Oxford University Press, 2011
P. Illari, F. Russo, and J. Williamson, eds., Causality in the Sciences · 2011
Cited alongside, same era.
A. Bisio, G. Chiribella, G. D’Ariano, and P. Perinotti, “Quantum Networks: General Theory and Applications,” Acta Physica Slovaca
2011
Cited alongside, same era.
A. Bisio, G. M. D’Ariano, P. Perinotti, and G. Chiribella, “Minimal Computational-Space Implementation of Multiround Quantum Protocols,” Phys. Rev. A
2011
Cited alongside, same era.
O. Oreshkov, F. Costa, and Č. Brukner, “Quantum correlations with no causal order,” Nat. Commun
2012
Cited alongside, same era.
G. Chiribella, G. M. D’Ariano, P. Perinotti, and B. Valiron, “Quantum computations without definite causal structure,” Phys. Rev. A
2013
Cited alongside, same era.
M. S. Leifer and R. W. Spekkens, “Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference,” Phys. Rev. A
2013
Cited alongside, same era.
PhD thesis, University of Vienna, Vienna, 2015
M. Zych, Quantum systems under gravitational time dilation · 2015
Later among the works it cites.
A. Feix, M. Araújo, and Č. Brukner, “Quantum superposition of the order of parties as a communication resource,” Phys. Rev. A
2015
Later among the works it cites.
L. M. Procopio, A. Moqanaki, M. Araújo, F. Costa, I. Alonso Calafell, E. G. Dowd, D. R. Hamel, L. A. Rozema, Č. Brukner, and P. Walther, “Experimental superposition of orders of quantum gates,” Nat. Commun
2015
Later among the works it cites.
M. Araújo, C. Branciard, F. Costa, A. Feix, C. Giarmatzi, and Č. Brukner, “Witnessing causal nonseparability,” New J. Phys
2015
Later among the works it cites.
K. Ried, M. Agnew, L. Vermeyden, D. Janzing, R. W. Spekkens, and K. J. Resch, “A quantum advantage for inferring causal structure,” Nat. Phys
2015
Later among the works it cites.
T. L. Nicholson, S. L. Campbell, R. B. Hutson, G. E. Marti, B. J. Bloom, R. L. McNally, W. Zhang, M. D. Barrett, M. S. Safronova, G. F. Strouse, W. L. Tew, and J. Ye, “Systematic evaluation of an atomic clock at 2 10-18 total uncertainty,” Nat. Commun
2015
Later among the works it cites.
T. Fritz, “Beyond Bell’s Theorem II: Scenarios with Arbitrary Causal Structure,” Commun. Math. Phys
2016
Closest in time.
F. Costa and S. Shrapnel, “Quantum causal modelling,” New J. Phys
2016
Closest in time.
P. Allard Guérin, A. Feix, M. Araújo, and Č. Brukner, “Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication,” Phys. Rev. Lett
2016
Closest in time.
J.-P. W. MacLean, K. Ried, R. W. Spekkens, and K. J. Resch, “Quantum-coherent mixtures of causal relations,” Nat. Commun
2017
Closest in time.