Quantum control systems from the von neumann architecture to quantum computing

Lászlo Nádai, József Bokor

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we consider the (state) reachability and controllability problems of special two-level quantum systems, the so-called quantum bits via externally applied electro-magnetic field. The system is described by special a bilinear right-invariant model whose state varies on the Lie group of 2 X 2 special unitary matrices. We show that if two or more independent controls are used, then every state can be achieved in arbitrary time using finite energy. The mathematical construction is motivated by the demand of manipulating (or logically operating on) the state of quantum bits, and the results provide some insight into the feasibility of realizing given operations in quantum computers.

Original languageEnglish
Title of host publicationTowards Intelligent Engineering and Information Technology
EditorsImre Rudas, Janos Fodor, Janusz Kacprzyk
Pages93-102
Number of pages10
DOIs
Publication statusPublished - Dec 1 2009

Publication series

NameStudies in Computational Intelligence
Volume243
ISSN (Print)1860-949X

ASJC Scopus subject areas

  • Artificial Intelligence

Fingerprint Dive into the research topics of 'Quantum control systems from the von neumann architecture to quantum computing'. Together they form a unique fingerprint.

  • Cite this

    Nádai, L., & Bokor, J. (2009). Quantum control systems from the von neumann architecture to quantum computing. In I. Rudas, J. Fodor, & J. Kacprzyk (Eds.), Towards Intelligent Engineering and Information Technology (pp. 93-102). (Studies in Computational Intelligence; Vol. 243). https://doi.org/10.1007/978-3-642-03737-5_7