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- Quantum Observables as Real-valued Functions and Quantum Probability

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.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, September 10, 2013 - 15:30 to 17:00

Location:

Time Room

©2012 Perimeter Institute for Theoretical Physics