Despite the tremendous empirical success of quantum theory there is still
widespread disagreement about what it can tell us about the nature of the
world. A central question is whether the theory is about our knowledge of
reality, or a direct statement about reality itself. Regardless of their stance
on this question, current interpretations of quantum theory regard the Born
rule as fundamental and add an independent state-update (or "collapse") rule to
describe how quantum states change upon measurement. In this paper we present
an alternative perspective and derive a probability rule that subsumes both the
Born rule and the collapse rule. We show that this more fundamental probability
rule can provide a rigorous foundation for informational, or "knowledge-based",
interpretations of quantum theory.
%0 Generic
%1 shrapnel2017updating
%A Shrapnel, Sally
%A Costa, Fabio
%A Milburn, Gerard
%D 2017
%K from:klhamm
%T Updating the Born rule
%U http://arxiv.org/abs/1702.01845
%X Despite the tremendous empirical success of quantum theory there is still
widespread disagreement about what it can tell us about the nature of the
world. A central question is whether the theory is about our knowledge of
reality, or a direct statement about reality itself. Regardless of their stance
on this question, current interpretations of quantum theory regard the Born
rule as fundamental and add an independent state-update (or "collapse") rule to
describe how quantum states change upon measurement. In this paper we present
an alternative perspective and derive a probability rule that subsumes both the
Born rule and the collapse rule. We show that this more fundamental probability
rule can provide a rigorous foundation for informational, or "knowledge-based",
interpretations of quantum theory.
@misc{shrapnel2017updating,
abstract = {Despite the tremendous empirical success of quantum theory there is still
widespread disagreement about what it can tell us about the nature of the
world. A central question is whether the theory is about our knowledge of
reality, or a direct statement about reality itself. Regardless of their stance
on this question, current interpretations of quantum theory regard the Born
rule as fundamental and add an independent state-update (or "collapse") rule to
describe how quantum states change upon measurement. In this paper we present
an alternative perspective and derive a probability rule that subsumes both the
Born rule and the collapse rule. We show that this more fundamental probability
rule can provide a rigorous foundation for informational, or "knowledge-based",
interpretations of quantum theory.},
added-at = {2017-02-09T09:53:22.000+0100},
author = {Shrapnel, Sally and Costa, Fabio and Milburn, Gerard},
biburl = {https://www.bibsonomy.org/bibtex/261888c619600d38dedd206801f1ae2ac/journalclubqo},
description = {[1702.01845] Updating the Born rule},
interhash = {b1568956475acb4721a31fdb3a174d11},
intrahash = {61888c619600d38dedd206801f1ae2ac},
keywords = {from:klhamm},
note = {cite arxiv:1702.01845Comment: 6+2 pages; 3 figures},
timestamp = {2017-02-09T09:53:22.000+0100},
title = {Updating the Born rule},
url = {http://arxiv.org/abs/1702.01845},
year = 2017
}