Practicality of time-optimal two-qubit Hamiltonian simulation

authored by

Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne

Abstract

A class of lazy two-qubit Hamiltonians, those which can simulate themselves faster with the aid of fast local control than with uninterrupted evolution was defined. When a lazy Hamiltonian was used in the time-optimal simulation of any nonlocal two-qubit unitary, a simulation which will require an infinite number of steps, and thus will be impractical was shown. A simple set of sufficient conditions enabling to prove that a given Hamiltonian was lazy was derived.

External Organisation(s)

University of Queensland
California Institute of Caltech (Caltech)
Defence Science & Technology Group (DSTG)
University of Bristol

Type

Article

Journal

Physical Review A - Atomic, Molecular, and Optical Physics

Volume

68

Pages

042303/1-042303/8

ISSN

1050-2947

Publication date

06.10.2003

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Electronic version(s)

https://doi.org/arXiv:quant-ph/0303070 (Access: Open)
https://doi.org/10.1103/PhysRevA.68.042303 (Access: Closed)