4-8 July 2016
Kramer Law building
Africa/Johannesburg timezone
Paper Review: Initial screening in progress
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Non-reversal Open Quantum Walks

Presented by Mr. Hazmatally GOOLAM HOSSEN on 5 Jul 2016 from 14:00 to 14:20
Type: Oral Presentation
Track: Track G - Theoretical and Computational Physics

Abstract

A new model of non-reversal quantum walk is proposed. In such a walk, the walker cannot go back to previously visited sites but it can stay static or move to a new site. The process is set up on a line using the formalism of Open Quantum Walks (OQWs). Afterwards, non-reversal quantum trajectories are launched on a 2-D lattice to which a memory is associated to record visited sites. The "quantum coins" are procured from a randomly generated unitary matrix. The radius of spread of the non-reversal OQW varies with different unitary matrices. The statistical results have meaningful interpretations in polymer physics. The number of steps of the trajectories is equivalent to the degree of polymerization, <i>N</i>. The root-mean-square of the radii determines the end-to-end distance, <i>R</i> of a polymer. These two values being typically related by <i>R &sim N<sup>&nu</sup></i>, the critical exponent, <i>&nu</i>, is obtained for <i>N ≤ 400 </i>. It is found to be closely equal to the classical Flory exponent. However, for larger <i>N</i>, the relationship does not hold anymore. Hence, a different relationship between <i>R</i> and <i>N</i> is suggested.

Award

Yes

Level

PhD

Supervisor

Prof. F. Petruccione petruccione@ukzn.ac.za UKZN

Paper

Yes

Permission

Yes

Place

Location: Kramer Law building
Address: UCT Middle Campus Cape Town
Room: 2A


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Co-authors

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