Quantum-imaginarity-based quantum speed limit

TL;DR

This paper investigates how quantum imaginarity influences the fundamental limits on the speed of quantum system evolution, providing new bounds relevant for quantum computing, control, and sensing.

Contribution

It introduces a novel connection between quantum imaginarity measures and quantum speed limits, expanding understanding of evolution constraints in quantum dynamics.

Findings

Derived new quantum speed limits based on imaginarity measures

Analyzed dephasing and dissipative dynamics in detail

Provided bounds relevant for quantum computation and sensing

Abstract

The quantum speed limit sets a fundamental restriction on the evolution time of quantum systems. We explore the relationship between quantum imaginarity and the quantum speed limit by utilizing measures such as relative entropy, trace distance, and geometric imaginarity. These speed limits define the fundamental constraints on the minimum time necessary for quantum systems to evolve under various dynamical processes. As applications the dephasing dynamics and dissipative dynamics are analyzed in detail. The quantum speed limit in stochastic-approximate transformations is also investigated. Our quantum speed limits provide lower bounds on how fast a physical system evolves to attain or lose certain imaginarity, with potential applications in efficient quantum computation designs, quantum control and quantum sensing.