Emergence of Quantum Theories from Classical Probability: Historical Origins, Developments, and Open Problems
Emergence of Quantum Theories from Classical Probability: Historical Origins, Developments, and Open Problems
After briefly mentioning some achievements of quantum probability during the past 20 years, we concentrate our attention on the emergence of natural extensions of usual quantum theory from the combination of classical probability with the theory of orthogonal polynomials and we discuss some implications, both for mathematics and physics of …