DOI Number : 10.5614/j.math.fund.sci.2014.46.1.3
Hits : 5

Path Independence in Adiabatic Quantum Computing for Hadamard Gate

Jusak Sali Kosasih1,2, Suhadi1,2 & Freddy Permana Zen1,2

1Indonesian Center for Theoretical and Mathematical Physics,
Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
2Theoretical Physics Laboratory, THEPI Research Division,
Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
Email: jusak@fi.itb.ac.id


Abstract. The computation time in adiabatic quantum computing (AQC) is determined by the time limit of the adiabatic evolution, which in turn depends on the evolution path. In this research we have used the variational method to find an optimized path. For the simplest case involving a single qubit and for the most general path involving one or more independent interpolating functions, the result is path independent. This result does not change when there is an extra Hamiltonian term. We have also applied these two scenarios in AQC to a Hadamard gate. Adding an extra Hamiltonian gives a non-trivial result compared to the normal AQC, however it does not result in a speed-up. Moreover, we show that in these two scenarios we can choose an arbitrary path provided that it satisfies the boundary conditions.

Keywords: adiabatic quantum computation;extra Hamiltonian; Hadamard gate; nonlinear interpolation; time complexity; variational principle

Download Article
 
Bahasa Indonesia | English
 
 
 

Notification:

Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at http://journals.itb.ac.id.

For detail information please contact us to: journal@lppm.itb.ac.id.

 
       
       
       ITB Journal Visitor Number #9838667       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : journal@lppm.itb.ac.id or proceedings@lppm.itb.ac.id Developed by AVE