Asia Pacific Physics Week 2024 (APPW2024)

Tuesday, Nov. 5, 2024 

2:40 PM - 3:20 PM  Plenary Talk: Jesni Shamsul Shaari (International Islamic University Malaysia) 

Uncertainty relations & quantum processes

Jesni Shamsul Shaari

Department of Physics, International Islamic University Malaysia, Jalan Sultan Ahmad Shah, Bandar Indera Mahkota, 25200 Kuantan, Pahang, Malaysia

This study explores the extension of the well-known Uncertainty Principle to encompass uncertainty in testers; i.e. devices used to differentiate between unitary operators acting on quantum systems. Traditionally, the Uncertainty Principle delineates the limitations in simultaneously measuring noncommuting pairs of observables for quantum states; however, this work shifts focus to the entropic nature of uncertainty associated with testers. The uncertainty relation can be characterized through entropic measures and reaches its maximum when testers are optimized for distinguishing unitary operators drawn from mutually unbiased unitary bases. The findings suggest profound implications for quantum measurement theory and the design of quantum testing protocols, finds application in terms of certain classes of quantum cryptographic protocols and aims at enhancing our understanding of how uncertainty manifests in the context of quantum processes.