Efficient realization of quantum search algorithm using quantum annealing processor with dissipation: erratum

A. H. Homid; A. H. Homid; A. Abdel-Aty; A. Abdel-Aty; M. Abdel-Aty; M. Abdel-Aty; A. Badawi; A.-S. F. Obada

doi:10.1364/JOSAB.419687

Abstract

This article corrects a misprint in Eqs. (4) and (6) of J. Opt. Soc. Am. B 32, 2025 (2015) [CrossRef] .

In [1], the symbol of the Pauli spin operators utilized throughout this work is $\hat \sigma$ and not $\hat \varsigma$, so there is a misprint in Eqs. (4) and (6). Also, Eq. (6) contains an error in the sign in the canonical transformation used. Thus, these equations should be replaced by the following:

(4)$${\hat H_A} = - c({h_A}\hat \sigma _z^A + {J_{\textit{AA}}}\hat I) - \frac{{i{\gamma _A}}}{2}\hat \sigma _ + ^A\hat \sigma _ - ^A,$$

(6)$${\hat H_B} = {e^{\frac{{i\pi}}{4}\hat \sigma _x^B}}\hat H({t_{{{\rm run}}}}){e^{- \frac{{i\pi}}{4}\hat \sigma _x^B}} - \frac{{i{\gamma _B}}}{2}\hat \sigma _ + ^B\hat \sigma _ - ^B.$$

These corrections do not affect the results of the paper at all.

REFERENCE

1. A. H. Homid, A. Abdel-Aty, M. Abdel-Aty, A. Badawi, and A.-S. F. Obada, “Efficient realization of quantum search algorithm using quantum annealing processor with dissipation,” J. Opt. Soc. Am. B 32, 2025–2033 (2015). [CrossRef]

Previous Article Next Article

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

{\hat{H}}_{A} = - c (h_{A} {\hat{σ}}_{z}^{A} + J_{AA} \hat{I}) - \frac{i γ_{A}}{2} {\hat{σ}}_{+}^{A} {\hat{σ}}_{-}^{A},

{\hat{H}}_{B} = e^{\frac{i π}{4} {\hat{σ}}_{x}^{B}} \hat{H} (t_{r u n}) e^{- \frac{i π}{4} {\hat{σ}}_{x}^{B}} - \frac{i γ_{B}}{2} {\hat{σ}}_{+}^{B} {\hat{σ}}_{-}^{B} .

Abstract

REFERENCE

Cited By

Equations (2)

Journal of the Optical Society of America B