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Time optimal qubit computer

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Abstract

We present a number of new physical systems that may be addressed using methods of time dependent transformation. A recap of results available for two-state systems is given, with particular emphasis on the AC Stark effect. We give some results that are not well known, including the full solution for a two state system in a static electric field with arbitrary direction. Connection with established theorems in time optimal quantum control is given, and a full discussion outlines some advanced results in matrix calculus. In particular, we derive a set of matrix gates relevant to quantum information theory and computation using time optimal unitary operators, and define the hyperbolic equivalent of the quantum brachistochrone problem.

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The author declares that data sharing is not applicable to this article as no datasets were generated or analysed during the current study.

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Acknowledgements

This project was supported under ARC Research Excellence Scholarships at the University of Technology, Sydney. The author acknowledges the support and assistance of Dr. Mark Craddock and Prof. Anthony Dooley.

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  1. Department of Maths and Physical Sciences, University of Technology, Sydney, Broadway, Sydney, NSW, 2007, Australia

    Peter Morrison

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  1. Peter Morrison
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Correspondence to Peter Morrison.

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Morrison, P. Time optimal qubit computer. Quantum Inf Process 23, 6 (2024). https://doi.org/10.1007/s11128-023-04209-5

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