(2013). Quantum Observables as Real-valued Functions and Quantum Probability. Perimeter Institute for Theoretical Physics. https://pirsa.org/13090068
MLA
Quantum Observables as Real-valued Functions and Quantum Probability. Perimeter Institute for Theoretical Physics, Sep. 10, 2013, https://pirsa.org/13090068
BibTex
@misc{ scivideos_PIRSA:13090068,
doi = {10.48660/13090068},
url = {https://pirsa.org/13090068},
author = {},
keywords = {Quantum Foundations},
language = {en},
title = { Quantum Observables as Real-valued Functions and Quantum Probability},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2013},
month = {sep},
note = {PIRSA:13090068 see, \url{https://scivideos.org/pirsa/13090068}}
}
Quantum observables
are commonly described by self-adjoint operators on a Hilbert space H. I will
show that one can equivalently describe observables by real-valued functions on
the set P(H) of projections, which we call q-observable functions. If one regards
a quantum observable as a random variable, the corresponding q-observable
function can be understood as a quantum quantile function, generalising the
classical notion. I will briefly sketch how q-observable functions relate to
the topos approach to quantum theory and the process called daseinisation. The
topos approach provides a generalised state space for quantum systems that
serves as a joint sample space for all quantum observables. This is joint work
with Barry Dewitt.
