Ultimate limit on time signal generation
arXiv:2004.07857
Abstract
The generation of time signals is a fundamental task in science. Here we study the relation between the quality of a time signal and the physics of the system that generates it. According to quantum theory, any time signal can be decomposed into individual quanta that lead to single detection events. Our main result is a bound on how sharply peaked in time these events can be, which depends on the dimension of the signal generator. This result promises applications in various directions, including information theory, quantum clocks, and process simulation.
arXiv comment17 pages, 5 figures + Appendix; comments are very welcome
References in corpus (14)
- An atomic clock with instability
- Area laws in quantum systems: mutual information and correlations
- Computational Mechanics: Pattern and Prediction, Structure and Simplicity
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Colloquium: Physics of optical lattice clocks
- Quantum interferometric visibility as a witness of general relativistic proper time
- Occam's Quantum Razor: How Quantum Mechanics can reduce the complexity of classical models
- Entanglement of quantum clocks through gravity
- Quantum clocks and their synchronisation - the Alternate Ticks Game
- Quantum clocks are more precise than classical ones
- The quantum geometric limit
- Relativistic quantum clocks
- Performance of stochastic clocks in the Alternate Ticks Game
- Accuracy enhancing protocols for quantum clocks