adiabatic theorem
绝热定理
The adiabatic theorem, originally proved in Born and Fock (1928), has important applications in quantum computing […]. The quantum adiabatic theorem states that if we start in the ground state of H(0) = H0 and we slowly increase the parameter λ, then the system will evolve to the ground state of H1 if H(λ) is always gapped—that is, there is no degeneracy for the ground-state energy. The adiabatic theorem also states that the correctness of the change to the system depends critically on the time t1 − t0 during which the change takes place. This should be large enough, and it depends on the minimum gap between the groundstate and the first excited state throughout the adiabatic process.
绝热定理 (Adiabatic Theorem) 的提出可追溯到1928年，M. Bom和V. Fock提出了绝热定理：若一个物理系统的本征值与其其它的Hamilton谱之间存在间隔 (Gap)，当该系统收到一个作用足够慢的扰动 (Perturbation) 时，系统将保持其 (受扰动前的) 瞬时 (Instantaneous) 本征态。绝热定理同样适用于量子力学所定义的封闭物理系统。
adiabatic theorem
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