2008arXiv (Cornell University)Open access

Two kinds of quantum adiabatic approximation

Ming-Yong Ye, Xiang-Fa Zhou, Yong-Sheng Zhang, Guang‐Can Guo

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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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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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Available 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.

Key concepts: Adiabatic quantum computation, Adiabatic process, Adiabatic theorem, Hamiltonian (control theory), Quantum, Quantum mechanics, Adiabatic invariant, Born–Huang approximation

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