The Counterfactual Meaning of the ABL Rule
Abstract
The Aharonov-Bergmann-Lebowitz rule assigns probabilities to quantum measurement results at time t on the condition that the system is prepared in a given way at t_1 < t and found in a given state at t_2 > t. The question whether the rule can also be applied counterfactually to the case where no measurement is performed at the intermediate time t has recently been the subject of controversy. I argue that the counterfactual meaning may be understood in terms of the true value of an observable at t. Such a value cannot be empirically determined for, by stipulation, the measurement that would yield it is not performed. Nevertheless, it may or may not be well-defined depending on one's proposed interpretation of quantum mechanics. Various examples are discussed illustrating what can be asserted at the intermediate time without running into contradictions.
Cite
@article{arxiv.quant-ph/0307082,
title = {The Counterfactual Meaning of the ABL Rule},
author = {Louis Marchildon},
journal= {arXiv preprint arXiv:quant-ph/0307082},
year = {2007}
}
Comments
Published version, one reference added