Controlling the coherence in a pure dephasing model for an arbitrarily prescribed time span

2013/11/13 by Lucio Fassarella, Lúcio Souza Fassarella, Fassarella, Lucio
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #math.OC #quant-ph

paper · pdf · doi:10.48550/arxiv.1311.3100

11 pages, 1 figure. Corrections and improvements on the previous version

openalex publication_date 2013/11/13 · arxiv created 2014/07/12 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an open-loop unitary strategy to control the coherence in a pure dephasing model (related to the phase-flip channel) that is able to recover, for whatever prescribed time span, the initial coherence at the end of the control process. The strategy's key idea is to steer the quantum state to the subset of invariant states and keep it there the necessary time, using a fine tuned control Hamiltonian.

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