Variation of quantum speed limit under Markovian and non-Markovian noisy environment

• Published in: Laser physics letters Vol. 19; no. 3; pp. 35201 - 35207
• Main Authors: Awasthi, Natasha, Dheeraj Kumar, Joshi, Sachdev, Surbhi
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.03.2022
• Subjects: decoherence; Markovian and non-Markovian noise; open quantum system; quantum speed limit
• ISSN: 1612-2011; 1612-202X
• DOI: 10.1088/1612-202X/ac4be5

Abstract The time required for a given quantum system to evolve is known as the quantum speed limit (QSL), which can be used to characterize the speed of evolution of a quantum system. We study QSL time for Markovian and non-Markovian dynamics. Investigating the effect of QSL under non-unitary evolution is of fundamental interest. In this work, we derive QSL time for maximally entangled state and apply its results under various noise channels. We discuss measure of QSL, how correlations affect the rate of QSL. Further, we carried an investigation on connection between non-Markovianity and QSL. We show that the non Markovian evolution can speed up quantum evolution, therefore lead to smaller QSL time. We have established the connections between correlated channels, information loss and non-Markovianity. This theory may suggest some further connections to retrieve back information from surrounding and preserves decoherence.