How to Measure the Quantum Measure
Abstract
The histories-based framework of Quantum Measure Theory assigns a generalized probability or measure to every (suitably regular) set of histories. Even though cannot in general be interpreted as the expectation value of a selfadjoint operator (or POVM), we describe an arrangement which makes it possible to determine experimentally for any desired . Taking, for simplicity, the system in question to be a particle passing through a series of Stern-Gerlach devices or beam-splitters, we show how to couple a set of ancillas to it, and then to perform on them a suitable unitary transformation followed by a final measurement, such that the probability of a final outcome of "yes" is related to by a known factor of proportionality. Finally, we discuss in what sense a positive outcome of the final measurement should count as a minimally disturbing verification that the microscopic event actually happened.
Cite
@article{arxiv.1610.02087,
title = {How to Measure the Quantum Measure},
author = {Álvaro Mozota Frauca and Rafael Dolnick Sorkin},
journal= {arXiv preprint arXiv:1610.02087},
year = {2017}
}