Optimal protocols for slowly driven quantum systems

2015/06/30 by Patrick R. Zulkowski, Michael R. DeWeese · 4 citations
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coherent information #Computer science #Entropy (arrow of time) #Entropy production #Geodesic #Mathematical analysis #Mathematics #Neural dynamics and brain function #Open quantum system #Physics #Quantum #Quantum algorithm #Quantum annealing #Quantum discord #Quantum information #Quantum mechanics #Quantum network #Quantum relative entropy #Quantum state #Quantum system #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.92.032113

arxiv created 2015/08/26 · openalex publication_date 2015/09/10 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 semidefinite 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.

Citations

• Quantum Annealing in the Transverse Ising Model
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