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arXiv · 1506.03864

Optimal protocols for slowly-driven quantum processes

Patrick R. Zulkowski·Michael R. DeWeese
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Abstract

The design of efficient quantum information processing will rely on optimal nonequilibrium transitions of driven quantum systems. Building on a recently-developed geometric framework for computing optimal protocols for classical systems driven in finite-time, we construct a general framework for optimizing the average information entropy for driven quantum systems. Geodesics on the parameter manifold endowed with a positive semi-definite metric correspond to protocols that minimize the average information entropy production in finite-time. We use this framework to explicitly compute the optimal entropy production for a simple two-state quantum system coupled to a heat bath of bosonic oscillators, which has applications to quantum annealing.

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Patrick R. Zulkowski, Michael R. DeWeese. 2015-08-26. Optimal protocols for slowly-driven quantum processes. https://doi.org/10.1103/physreve.92.032113

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