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C. Brukner, A graph-separation theorem for quantum causal models. New J. Phys.
17(7), 073020 (2015)
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5(1), 18281 (2015)
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advantage for inferring causal structure. Nat. Phys. 11(5), 414–420 (2015)
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Commun. 10(1), 1472 (2019)
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arXiv:1705.01642
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quantum system. IEEE Trans. Inf. Theor. 55(8), 3807–3820 (2009)
23. C.W. Helstrom, Quantum detection and estimation theory. J. Stat. Phys. 1(2), 231–252 (1969)
24. M. Berta, C. Hirche, E. Kaur, M.M Wilde, Amortized channel divergence for asymptotic
quantum channel discrimination (2018). Preprint. arXiv:1808.01498
25. G. Chiribella, G.M. D’Ariano, P. Perinotti, B. Valiron, Beyond quantum computers (2009).
Preprint. arXiv:0912.0195
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C. Brukner, Quantum correlations with no causal order. Nat. Commun.
3(1), 1092 (2012)
27. G. Chiribella, G.M. D’Ariano, P. Perinotti, B. Valiron, Quantum computations without definite
causal structure. Phys. Rev. A 88(2), 022318 (2013)
28. H. Barnum, M.A. Graydon, A. Wilce, Some nearly quantum theories. Electron. Proc. Theor.
Comput. Sci. 195, 59–70 (2015)
29. K. ˙
Zyczkowski, Quartic quantum theory: an extension of the standard quantum mechanics. J.
Phys. A: Math. Theor. 41(35), 355302 (2008)
30. M. Schuld, I. Sinayskiy, F. Petruccione, An introduction to quantum machine learning.
Contemp. Phys. 56(2), 172–185 (2015)
31. J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, S. Lloyd, Quantum machine
learning. Nature 549(7671), 195–202 (2017)
32. V. Dunjko, H.J. Briegel, Machine learning & artificial intelligence in the quantum domain: a
review of recent progress. Rep. Progr. Phys. 81(7), 074001 (2018)
G. Chiribella and Swati
12. B. Coecke, Terminality implies non-signalling. Electron. Proc. Theor. Comput. Sci. 172, 27–35
(2014)
13. J. Henson, R. Lal, M.F. Pusey, Theory-independent limits on correlations from generalized
Bayesian networks. New J. Phys. 16(11), 113043 (2014)
14. J. Pienaar, ˇ
C. Brukner, A graph-separation theorem for quantum causal models. New J. Phys.
17(7), 073020 (2015)
15. F. Costa, S. Shrapnel, Quantum causal modelling. New J. Phys. 18(6), 063032 (2016)
16. J.-M.A. Allen, J. Barrett, D.C. Horsman, C.M. Lee, R.W. Spekkens, Quantum common causes
and quantum causal models. Phys. Rev. X 7, 031021 (2017)
17. J.F. Fitzsimons, J.A. Jones, V. Vedral, Quantum correlations which imply causation. Sci. Rep.
5(1), 18281 (2015)
18. K. Ried, M. Agnew, L. Vermeyden, D. Janzing, R.W. Spekkens, K.J. Resch, A quantum
advantage for inferring causal structure. Nat. Phys. 11(5), 414–420 (2015)
19. G. Chiribella, D. Ebler, Quantum speedup in the identification of cause–effect relations. Nat.
Commun. 10(1), 1472 (2019)
20. R. Cleve, D. Gottesman, H.-K. Lo, How to share a quantum secret. Phys. Rev. Lett. 83(3), 648
(1999)
21. N. Yu, L. Zhou, Chernoff bound for quantum operations is faithful (2017). Preprint.
arXiv:1705.01642
22. M. Hayashi, Discrimination of two channels by adaptive methods and its application to
quantum system. IEEE Trans. Inf. Theor. 55(8), 3807–3820 (2009)
23. C.W. Helstrom, Quantum detection and estimation theory. J. Stat. Phys. 1(2), 231–252 (1969)
24. M. Berta, C. Hirche, E. Kaur, M.M Wilde, Amortized channel divergence for asymptotic
quantum channel discrimination (2018). Preprint. arXiv:1808.01498
25. G. Chiribella, G.M. D’Ariano, P. Perinotti, B. Valiron, Beyond quantum computers (2009).
Preprint. arXiv:0912.0195
26. O. Oreshkov, F. Costa, ˇ
C. Brukner, Quantum correlations with no causal order. Nat. Commun.
3(1), 1092 (2012)
27. G. Chiribella, G.M. D’Ariano, P. Perinotti, B. Valiron, Quantum computations without definite
causal structure. Phys. Rev. A 88(2), 022318 (2013)
28. H. Barnum, M.A. Graydon, A. Wilce, Some nearly quantum theories. Electron. Proc. Theor.
Comput. Sci. 195, 59–70 (2015)
29. K. ˙
Zyczkowski, Quartic quantum theory: an extension of the standard quantum mechanics. J.
Phys. A: Math. Theor. 41(35), 355302 (2008)
30. M. Schuld, I. Sinayskiy, F. Petruccione, An introduction to quantum machine learning.
Contemp. Phys. 56(2), 172–185 (2015)
31. J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, S. Lloyd, Quantum machine
learning. Nature 549(7671), 195–202 (2017)
32. V. Dunjko, H.J. Briegel, Machine learning & artificial intelligence in the quantum domain: a
review of recent progress. Rep. Progr. Phys. 81(7), 074001 (2018)