Two kinds of quantum adiabatic approximation
Ming-Yong Ye, Xiang-Fa Zhou, Yong-Sheng Zhang, and Guang-Can Guo
TL;DR
This paper presents a straightforward proof of the quantum adiabatic theorem and distinguishes two types of quantum adiabatic approximation, providing a relation between the approximation error and the evolution parameter T.
Contribution
It introduces a simple proof of the quantum adiabatic theorem and clarifies the distinction between two kinds of adiabatic approximation, relating error size to the parameter T.
Findings
Relation between error size and parameter T
Two types of quantum adiabatic approximation identified
Simple proof of quantum adiabatic theorem provided
Abstract
A simple proof of quantum adiabatic theorem is provided. Quantum adiabatic approximation is divided into two kinds. For Hamiltonian H(t/T), a relation between the size of the error caused by quantum adiabatic approximation and the parameter T is given.
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics · Quantum Computing Algorithms and Architecture