A Bayesian view of single-qubit clocks, and an energy versus accuracy tradeoff

@article{Gopalkrishnan2016ABV,
  title={A Bayesian view of single-qubit clocks, and an energy versus accuracy tradeoff},
  author={Manoj Gopalkrishnan and Varshith Kandula and Praveen Sriram and Abhishek Deshpande and Bhaskaran Muralidharan},
  journal={2016 IEEE International Symposium on Information Theory (ISIT)},
  year={2016},
  pages={2239-2243}
}
We bring a Bayesian viewpoint to the analysis of clocks. Using exponential distributions as priors for clocks, we analyze the case of a single precessing spin. We find that, at least with a single qubit, quantum mechanics does not allow exact timekeeping, in contrast to classical mechanics which does. We find the optimal ratio of angular velocity of precession to rate of the exponential distribution that leads to maximum accuracy. Further, we find an energy versus accuracy tradeoff - the energy… 

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