On the orthogonalization of quantum states
1 College of Physical Science and Technology, Hebei University - Baoding 071002, China
2 Department of Basic Science, Jiaozuo University - Jiaozuo 454000, China
Received: 3 February 2013
Accepted: 19 June 2013
Some quantum states can dynamically evolve to an orthogonal state after a time interval, while some states can never evolve to their orthogonal states. In this paper, we investigate three issues on the orthogonalization properties of quantum states. First, we answer the question as to under what conditions an initial state can evolve to an orthogonal state. Second, we discuss the orthogonalization rate of quantum states, i.e., the total number of orthogonal states that the evolution can go through in unit time. Finally, we show that the Margolus-Levitin bound for orthogonalization time remains tight for superpositions of more than two eigenstates.
PACS: 03.67.Lx – Quantum computation architectures and implementations / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2013