Quantum clocks and their synchronisation - the Alternate Ticks Game

TL;DR

This paper explores quantum clocks and their synchronization using an operational approach, introducing the 'Alternate Ticks Game' to evaluate clock quality and compare strategies for maintaining synchronization.

Contribution

It introduces the 'Alternate Ticks Game' as a new operational framework to assess quantum clock synchronization and analyzes strategies within this game.

Findings

Quantum clocks can be evaluated based on their synchronization ability.

The 'Alternate Ticks Game' provides a novel method for quantifying clock quality.

Different strategies show varying effectiveness in maintaining synchronization.

Abstract

Time plays a crucial role in the intuitive understanding of the world around us. Within quantum mechanics, however, time is not usually treated as an observable quantity; it enters merely as a parameter in the laws of motion of physical systems. Here we take an operational approach to time. Towards this goal we consider quantum clocks, i.e., quantum systems that generate an observable time scale. We then study the quality of quantum clocks in terms of their ability to stay synchronised. To quantify this, we introduce the "Alternate Ticks Game" and analyse a few strategies pertinent to this game.