Quantum speed limit and optimal evolution time in a two-level system
Departamento de Física Juan José Giambiagi and IFIBA - UBA, Facultad de Ciencias Exactas y Naturales Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Received: 13 September 2013
Accepted: 22 November 2013
Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possible. While QSL expressions for time-independent Hamiltonians have been well studied, the time-dependent regime has remained somewhat unexplored, albeit being usually the relevant problem to be compared with when studying systems controlled by external fields. In this paper we explore the relation between optimal times found in quantum control and the QSL bound, in the (relevant) time-dependent regime, by discussing the ubiquitous two-level Landau-Zener–type Hamiltonian.
PACS: 03.65.Aa – Quantum systems with finite Hilbert space / 03.67.Lx – Quantum computation architectures and implementations
© EPLA, 2013