# 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…

## References

SHOWING 1-10 OF 30 REFERENCES

Measurement of time by quantum clocks

- Physics
- 1980

A clock is a dynamical system which passes through a succession of states at constant time intervals. If coupled to another system, it can measure the duration of a physical process and even keep a…

Application of the quantum clock of Salecker and Wigner to the “tunneling time problem”

- Physics
- 1993

Abstract Peres used Salecker and Wigner's prescription for a quantum clock in a theoretical study of time-of-flight determination of the velocity of a free particle. In the present paper, the quantum…

Quantum Limitations of the Measurement of Space-Time Distances

- Physics
- 1958

This article deals with the limitations which the quantized nature of microscopic systems imposes on the possibility of measuring distances between space-time events. It is proposed to use only…

Reversible Framework for Quantum Resource Theories.

- Physics, MedicinePhysical review letters
- 2015

The general structure of QRTs is discussed, and it is shown that under a few assumptions, a QRT is asymptotically reversible if its set of allowed operations is maximal, that is, if the allowed operations are the set of all operations that do not generate (asymptotical) a resource.

Resource theory of quantum states out of thermal equilibrium.

- Physics, MedicinePhysical review letters
- 2013

It is shown that the free energy of thermodynamics emerges naturally from the resource theory of energy-preserving transformations, provided that a sublinear amount of coherent superposition over energy levels is available, a situation analogous to the sub linear amount of classical communication required for entanglement dilution.

QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES

- Physics
- 2013

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states…

Spins in few-electron quantum dots

- Physics
- 2007

The canonical example of a quantum-mechanical two-level system is spin. The simplest picture of spin is a magnetic moment pointing up or down. The full quantum properties of spin become apparent in…

An exact determination of the mean dwell time based on the quantum clock of Salecker and Wigner

- Physics
- 1994

Abstract A modification of the Salecker-Wigner quantum clock leads to precisely the expected result for the mean dwell time. However, the mean transmission and reflection times that apparently emerge…

The resource theory of informational nonequilibrium in thermodynamics

- Physics
- 2015

We review recent work on the foundations of thermodynamics in the light of quantum information theory. We adopt a resource-theoretic perspective, wherein thermodynamics is formulated as a theory of…

The second laws of quantum thermodynamics

- Computer Science, MedicineProceedings of the National Academy of Sciences
- 2015

Here, it is found that for processes which are approximately cyclic, the second law for microscopic systems takes on a different form compared to the macroscopic scale, imposing not just one constraint on state transformations, but an entire family of constraints.