Quantum clocks and their synchronisation - the Alternate Ticks Game

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.

arXiv comment9 pages, 5 figures

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Cited by in corpus (13)

• Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Entanglement of quantum clocks through gravity
• The space of logically consistent classical processes without causal order
• Measuring the thermodynamic cost of timekeeping
• Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames
• Autonomous Temporal Probability Concentration: Clockworks and the Second Law of Thermodynamics
• Timelessness strictly inside the Quantum Realm
• A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties
• Ultimate limit on time signal generation
• Performance of stochastic clocks in the Alternate Ticks Game
• Powering an autonomous clock with quantum electromechanics
• Was inflation necessary for the existence of time?