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Quantum Bayesianism as the basis of general theory of decision-making. (English) Zbl 1353.94024


MSC:

94A15 Information theory (general)
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[1] DOI: 10.1103/PhysRevA.65.022305
[2] DOI: 10.1103/RevModPhys.85.1693
[3] Fuchs, An introduction to QBism with an application to the locality of quantum mechanics, Am. J. Phys. 82 pp 749– (2014)
[4] DOI: 10.1016/j.shpsb.2006.10.007 · Zbl 1223.81022
[5] DOI: 10.1007/s10701-009-9404-8 · Zbl 1211.81007
[6] DOI: 10.1088/0031-8949/90/1/015104
[7] Khrennikov A . 2002 Växjö interpretation of quantum mechanics. In Quantum theory: reconsideration of foundations (ed. A Khrennikov), pp. 163–170. Växjö: Växjö University Press. (http://arxiv.org/abs/quant-ph/0202107)
[8] DOI: 10.1007/s10701-015-9875-8 · Zbl 1327.81017
[9] Khrennikov A (ed.) 2002 Quantum theory: reconsideration of foundations . Växjö, Sweden: Växjö University Press. · Zbl 1280.81009
[10] Khrennikov A . 2009 Contextual approach to quantum formalism . Berlin, Germany: Springer. · Zbl 1176.81001
[11] DOI: 10.1103/PhysRevA.81.062348
[12] D’Ariano GM . 2007 Operational axioms for quantum mechanics. In Foundations of probability and physics-3, vol. 889, (eds G Adenier, CA Fuchs, AYu Khrennikov). AIP Conf. Proc., pp. 79–105. Melville, NY: AIP. · Zbl 1139.81011
[13] Chiribella G , D’Ariano GM , Perinotti P . 2012 Informational axioms for quantum theory. In Foundations of probability and physics - 6. AIP Conf. Proc. vol. 1424, pp. 270–279. Melville, NY: AIP. · Zbl 1271.81010
[14] D’Ariano GM . 2011 Physics as information processing. In Advances in quantum theory. AIP Conf. Proc. vol. 1327, pp. 7–16. Melville, NY: AIP.
[15] Plotnitsky A . 2006 Reading Bohr: physics and philosophy . Dordrecht, The Netherlands: Springer. · Zbl 1325.00035
[16] Plotnitsky A . 2009 Epistemology and probability: Bohr, Heisenberg, Schrödinger, and the nature of quantum-theoretical thinking . Heidelberg, Germany: Springer. · Zbl 1328.00091
[17] Plotnitsky A . 2012 It is best not to think about it at all like the new taxes: reality, observer, and complementarity in Bohr and Pauli. In Quantum theory: reconsideration of foundations 6, vol. 1508 (eds A Khrennikov, H Atmanspacher, A Migdall, S Polyakov). AIP Conf. Proc., pp. 22–31. Melville, NY: AIP.
[18] DOI: 10.1016/j.aop.2014.04.021 · Zbl 1342.81020
[19] DOI: 10.1023/A:1018885632116
[20] DOI: 10.1016/S0303-2647(03)00041-8
[21] DOI: 10.1023/B:OPSY.0000047570.68941.9d · Zbl 1059.82033
[22] Khrennikov A . 2010 Ubiquitous quantum structure: from psychology to finances . Berlin, Germany: Springer. · Zbl 1188.91002
[23] DOI: 10.1088/0305-4470/34/47/304 · Zbl 0993.81005
[24] DOI: 10.1007/s10701-015-9929-y · Zbl 1326.81034
[25] Asano M , Khrennikov A , Ohya M , Tanaka Y , Yamato I 2015 Quantum adaptivity in biology: from genetics to cognition . Heidelberg, Germany: Springer. · Zbl 1402.92005
[26] DOI: 10.1016/j.jmp.2012.02.003 · Zbl 1282.91280
[27] DOI: 10.1016/j.physa.2011.11.042
[28] DOI: 10.1007/s11693-012-9091-1
[29] Asano, Violation of contextual generalization of the Leggett–Garg inequality for recognition of ambiguous figures, Phys. Scr. T163 pp 014006– (2014)
[30] DOI: 10.1016/j.jmp.2006.01.003 · Zbl 1186.91062
[31] DOI: 10.1037/a0022542
[32] Busemeyer JR , Bruza PD . 2012 Quantum models of cognition and decision . Cambridge, UK: Cambridge University Press.
[33] DOI: 10.1016/j.tics.2015.05.001
[34] Savage LJ . 1954 The foundations of statistics . New York, NY: Wiley.
[35] DOI: 10.1111/j.1467-9280.1992.tb00678.x
[36] DOI: 10.1016/0010-0285(92)90015-T
[37] Hofstadter, Dilemmas for superrational thinkers, leading up to a luring lottery, Sci. Am. 6 pp 24– (1983)
[38] Hofstadter DR . 1985 Metamagical themes: questing for the essence of mind and pattern . New York, NY: Basic Books.
[39] DOI: 10.1006/obhd.1999.2846
[40] Ezhov AA , Berman GP . 2003 Introduction to quantum neural technologies . Paramus: Rinton Press.
[41] Bagarello F . 2012 Quantum dynamics for classical systems: with applications of the number operator . New York, NY: Wiley. · Zbl 1279.91004
[42] Haven E , Khrennikov A 2013 Quantum social science . Cambridge, UK: Cambridge University Press. · Zbl 1281.91130
[43] Conte, A preliminary experimental verification on the possibility of Bell inequality violation in mental states, Neuroquantology 6 pp 214– (2008)
[44] DOI: 10.1098/rspb.2009.0121
[45] DOI: 10.1016/j.jmp.2009.03.005 · Zbl 1178.81020
[46] Acacio de Barros J . 2012 Joint probabilities and quantum cognition. In Quantum theory: reconsiderations of foundations 6, vol. 1508 (eds A Khrennikov, H Atmanspacher, A Migdall, S Polyakov). AIP Conf. Proc., pp. 98–104. Melville, NY: AIP.
[47] Khrennikova, Evolution of quantum-like modeling in decision making processes, AIP Conf. Proc. 1508 pp 108– (2012)
[48] DOI: 10.1017/S0140525X12001525
[49] Busemeyer, Applying quantum principles to psychology, Phys. Scr. T163 pp 014007– (2014)
[50] Plotnitsky, Are quantum-mechanical-like models possible, or necessary, outside quantum physics?, Phys. Scr. T163 pp 014011– (2014)
[51] DOI: 10.1371/journal.pone.0110909
[52] DOI: 10.1007/s10773-013-1931-6
[53] von Mises R 1957 Probability, statistics and truth . London, UK: Macmillan.
[54] Ramsey FP . 1931 Truth and probability, in F. P. Ramsey. In The Foundations of Mathematics and other Logical Essays (ed. RB Braithwaite), p. 156. New York, NY: Harcourt, Brace and Company.
[55] De Finetti, Probabilismo, Logos 14 pp 163– (1931)
[56] Bernardo JM , Smith AFM . 1994 Bayesian theory . Chichester: Wiley.
[57] Mermin D . 2014 Why QBism is not the Copenhagen interpretation and what John Bell might have thought of it. (http://arxiv.org/abs/1409.2454v1). · Zbl 1390.81038
[58] Joyce J . 2008 Bayes’ Theorem. In The Stanford encyclopedia of philosophy (ed. EN Zalta). See http://plato.stanford.edu/archives/fall2008/entries/bayes-theorem/ .
[59] DOI: 10.1007/BF00167725
[60] Jeffrey R . 1992 Probability and the art of judgment . New York, NY: Cambridge University Press.
[61] Appleby, Symmetric informationally-complete quantum states as analogues to orthonormal bases and minimum-uncertainty states, Entropy 1 6 pp 1484– (2014)
[62] DOI: 10.1007/s10773-011-0934-4 · Zbl 1243.81026
[63] Appleby M . 2014 Mind and matter. A critique of Cartesian thinking. In The Pauli-Jung conjecture and its impact today (eds H Atmanspacher, CA Fuchs). Exeter, UK: Imprint Academic.
[64] DOI: 10.1371/journal.pone.0061712
[65] DOI: 10.1111/tops.12060
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