Dynamical Evolution

Xiangji Cai, Ruixuan Meng, Yanhui Zhang +1 more

We theoretically study the geometric effect of quantum dynamical evolution in the presence of a nonequilibrium noisy environment. We derive the expression of the time-dependent geometric phase in terms of the dynamical evolution and the overlap between the time evolved state and initial state. It is shown that the frequency shift induced by the environmental nonequilibrium feature plays a crucial role in the geometric phase and evolution path of the quantum dynamics. The nonequilibrium feature of the environment makes the length of the evolution path become longer and reduces the dynamical decoherence and non-Markovian behavior in the quantum dynamics.

Alex Khang, Kali Charan Rath

Jincheng Zhang

Quantum Information Evolution Model (QIEIM) is a novel framework for simulating and predicting quantum information evolution, extending beyond traditional approaches focused on information encoding and decryption. This model leverages dynamic properties of the evolution process to provide a more comprehensive and nuanced understanding of information dynamics. The core claim is to establish a model capable of mimicking and understanding the intricate patterns governing information evolution. This research introduces a dynamic evolution strategy, enhancing the model's predictive capabilities significantly.

Haidong Yuan, Chi‐Hang Fred Fung

The laws of quantum physics place a limit on the speed of computation, in particular the evolution time of a system cannot be arbitrarily fast. Bounds on the speed of evolution for unitary dynamics have been long studied. A few bounds on the speed of evolution for noisy dynamics have also been obtained recently, these bounds, however, are in general not tight. In this article we present a new framework for quantum speed limit of noisy dynamics. With this framework we obtain the exact maximal angle that a noisy dynamics can achieve at any given time, this then provides tight bounds on the evolution time for noisy dynamics. The obtained bound reveals that noisy dynamics are generically different from unitary dynamics, in particular we show that the 'orthogonalization' time, which is the minimum time needed to evolve any state to its orthogonal states, is in general not applicable to noisy dynamics.

Francis Heylighen, Cliff Joslyn, Valentin F. Turchin