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quant-ph2020★ 16 cited
Quantum Zeno effect for open quantum systems
Simon Becker, Nilanjana Datta, Robert Salzmann
We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quan…
cs.IT2020★ 11 cited
A tight uniform continuity bound for the Arimoto-Rényi conditional entropy and its extension to classical-quantum states
Michael G. Jabbour, Nilanjana Datta
We prove a tight uniform continuity bound for Arimoto's version of the conditional -Rényi entropy, for the range . This definition of the conditional Rényi entropy…
quant-ph2020★ 37 cited
Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem
Simon Becker, Nilanjana Datta, Ludovico Lami +1
We investigate the energy-constrained (EC) diamond norm distance between unitary channels acting on possibly infinite-dimensional quantum systems, and establish a number of results…