Correlations in a General Theory of Quantum Measurement

Abstract

The paper investigates correlations in a general theory of quantum measurement based on the notion of instrument. The analysis is performed in the algebraic formalism of quantum theory in which the observables of a physical system are described by a von Neumann algebra, and the states -by normal positive normalized functionals on this algebra. The results extend and generalise those obtained for the classical case where one deals with the full algebra of operators on a Hilbert space.

Gentzen’s ‘Cut Rule’ and Quantum Measurement in Terms of Hilbert Arithmetic. Metaphor and Understanding Modeled Formally

“…as well as considering its very wide scope of interpretations (e.g Bala 2017;De Gregorio, 2014;Perović 2013;Rabinowitz 2013;Home 2013;Plotnitsky 2012;Katsumori 2011;Camilleri 2007;Sen, Basu, Sengupta 1999;Beller 1992;Mehra 1987)Bigelow (1982) can assist connecting Kierkegaard's doctrine at issue with the formal and mathematical model of hermeneutical circle (as further in the present paper).19 That real process is even rather complicated linking coherence and decoherence (e.g Hou, Liu, Wang, Yang 2017;Luo, Li 2011;Podsȩdkowska 2007;Roy 1993;Nakazato, Pascazio 1991). and crucial for the theory and implementation of quantum computer (e.g.…”

Gentzen’s “Cut Rule” and Quantum Measurement in Terms of Hilbert Arithmetic. Metaphor and Understanding Modeled Formally

“…19 That real process is even rather complicated linking coherence and decoherence (e.g. Hou, Liu, Wang, Yang 2017;Luo, Li 2011;Podsȩdkowska 2007;Roy 1993;Nakazato, Pascazio 1991) and crucial for the theory and implementation of quantum computer (e.g. Leãao 1998;Sun, Zhan, Liu 1998) 20 The investigation of Bigelow (1982) can assist connecting Kierkegaard's doctrine at issue with the formal and mathematical model of hermeneutical circle (as further in the present paper).…”

Lüders Instruments, Generalised Lüders Theorem, and Some Aspects of Sufficiency

“…Lewis, and some of its properties relevant to our work were further investigated e.g. in [1,12,15,16].…”