Zulkowski Patrick R, DeWeese Michael R
Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA Department of Mathematics, Berkeley City College, Berkeley, California 94704, USA and Redwood Center for Theoretical Neuroscience, University of California, Berkeley, Berkeley, California 94720, USA.
Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA Redwood Center for Theoretical Neuroscience, University of California, Berkeley, Berkeley, California 94720, USA and Helen Wills Neuroscience Institute, University of California, Berkeley, Berkeley, California 94720, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032113. doi: 10.1103/PhysRevE.92.032113. Epub 2015 Sep 10.
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.
高效量子信息处理的设计将依赖于受驱量子系统的最优非平衡跃迁。基于最近为计算有限时间内受驱经典系统的最优协议而开发的几何框架，我们构建了一个用于优化受驱量子系统平均信息熵的通用框架。赋予正半定度量的参数流形上的测地线对应于在有限时间内使平均信息熵产生最小化的协议。我们使用这个框架来明确计算一个与玻色子振荡器热库耦合的简单二态量子系统的最优熵产生，该系统在量子退火中有应用。
