F47: Undergraduate Research VI

Tue. March 7, 8:00 a.m. – 8:12 a.m. PST

Room 313

Since time enters quantum mechanics as a parameter, the description of time measurement necessitates the introduction of an operator, a so-called quantum clock. Whereas the first quantum clocks were discrete clocks, ticking at specific, discrete times, continuous quantum clocks are not restricted in this way. Instead, the challenge for continuous clocks is to optimize the precision or resolution of the time measurement. We address the question of how the entanglement resource can improve the precision of continuous quantum clocks. In order to do so, we follow Ramezani et al. [Phys. Rev. A106,022427 (2022)]) in selecting system Hamiltonians that optimize the precision through the quantum Cramer-Rao bound in a parameter estimation procedure. We explore the dynamical evolution of different types of entangled states under these Hamiltonians and compare the resulting precision of these clocks. In particular, we compare how the clocks are affected by using GHZ and W entangled states.