Work

Analysis of Lower Bounds for Quantum Control Times and Their Relation to the Quantum Speed Limit

Year: 2020

Type: article

Abstract: Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with unknown control parameters. In this paper we present a short introductory overview of quantum speed limit for unitary dynamics and its connection to quantum control. We then analyze potential methods for obtaining new bounds on control times inspired by the QSL. We finally extend the work in [Poggi, Lombardo and WisniackiEPL104 40005 (2013)] by studying the properties and limitations of these new bounds in the context of a driven two-level quantum system.

Source: Anales/Anales AFA

DOI: 10.31527/analesafa.2020.31.1.29

Author: P. M. Poggi

Institutions: University of New Mexico, Universidad de Buenos Aires, Instituto de Física de Buenos Aires

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Consejo Nacional de Investigaciones Científicas y Técnicas, Agencia Nacional de Promoción Científica y Tecnológica, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires

Awards: FRHTP: Center for Quantum Information and Control, G7378882120