• Sandeep Kumar

Quantum maps serve as foundational models for understanding the evolution of quantum systems in discrete time. These maps are critical tools in the study of quantum chaos, information theory, and thermodynamics. They offer deep insights into how quantum systems behave under complex conditions and serve as a bridge between classical mechanics and quantum mechanics. This article reviews the formal structure of quantum maps, provides detailed examples such as the quantum kicked rotor and baker’s map, and examines their extensive applications across multiple areas of physics. Additionally, we highlight experimental implementations and suggest emerging research directions.

Quantum kicked rotor map, Baker’s map, Cat map and Quantum Chaos

"Quantum Maps and their Applications: A Review", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 5, page no.l51-l54, May-2025, Available :http://www.jetir.org/papers/JETIR2505B98.pdf

"Quantum Maps and their Applications: A Review", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 5, page no. ppl51-l54, May-2025, Available at : http://www.jetir.org/papers/JETIR2505B98.pdf