Entropic uncertainties for joint quantum measurements
Thomas Brougham, Erika Andersson, Stephen M Barnett
TL;DR
This paper analyzes the uncertainty in joint quantum measurements of spin-1/2 particles using entropy, establishing tight lower bounds for joint and marginal entropies when measuring spin components equally well.
Contribution
It introduces tight lower bounds for entropic uncertainties in joint spin measurements, advancing understanding of quantum measurement limitations.
Findings
Derived tight lower bounds for joint entropy
Established bounds for sum of marginal entropies
Quantified uncertainty in equal-measurement scenarios
Abstract
We investigate the uncertainty associated with a joint quantum measurement of two components of spin of a spin-1/2 particle and quantify this in terms of entropy. We consider two entropic quantities: the joint entropy and the sum of the marginal entropies, and obtain lower bounds for each of these quantities. For the case of joint measurements where we measure each spin observable equally well, these lower bounds are tight.
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