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Effect of quantum mechanical global phase factor on error vs sensitivity limitation in quantum routing

Jonckheere, Edmond, Schirmer, Sophie and Langbein, Frank 2019. Effect of quantum mechanical global phase factor on error vs sensitivity limitation in quantum routing. Presented at: 58th IEEE Conf. Decision and Control (CDC 2019), Nice, France, 11th-13th December 2019. Proceedings of 58th IEEE Conf. Decision and Control (CDC 2019). IEEE,

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Abstract

In this paper, we explore the effect of the purely quantum mechanical global phase factor on the problem of controlling a ring-shaped quantum router to transfer its excitation from an initial spin to a specified target spin. “Quantum routing” on coherent spin networks is achieved by shaping the energy landscape with static bias control fields, which already results in the nonclassical feature of purely oscillatory closed-loop poles. However, more to the point, it is shown that the global phase factor requires a projective reinterpretation of the traditional tracking error where the wave function state is considered modulo its global phase factor. This results in a time-domain relaxation of the conflict between small tracking error and small sensitivity of the tracking error to structured uncertainties. While fundamentally quantum routing is achieved at a specific final time and hence calls for time-domain techniques, we also develop a projective s-domain limitation.

Item Type: Conference or Workshop Item (Paper)
Status: In Press
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Publisher: IEEE
Date of First Compliant Deposit: 22 September 2019
Date of Acceptance: 19 July 2019
Last Modified: 29 Apr 2020 14:52
URI: http://orca.cf.ac.uk/id/eprint/125578

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