The role of measurement in the recurrence property of discrete timed quantum walks

L. Kecskés; T. Kiss; M. Štefaňak; I. Jex

doi:10.1117/12.886813

6 May 2011 The role of measurement in the recurrence property of discrete timed quantum walks

L. Kecskés, T. Kiss, M. Štefaňak, I. Jex

Proceedings Volume 8072, Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III; 80720U (2011) https://doi.org/10.1117/12.886813
Event: SPIE Optics + Optoelectronics, 2011, Prague, Czech Republic

Abstract

The quantum mechanical generalisation of random walks (called Quantum Walks) present us with a broader spectrum of possibilities compared to their classical counterparts. The aim of the presented study is to explore a new portion of this area by incorporating a new step in the process of the Quantum Walk unique to quantum mechanics: the measurement. Our focus lies in the characterising number of the recurrence behaviour of the walk (Polya-number). We observe the effect of the standard projective measurement, a yes-no measurement on the origin and the effect of different measurement schemes (periodic and random) on the definition and the numeric value of the Polya-number.

Citation Download Citation

L. Kecskés, T. Kiss, M. Štefaňak, and I. Jex "The role of measurement in the recurrence property of discrete timed quantum walks", Proc. SPIE 8072, Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III, 80720U (6 May 2011); https://doi.org/10.1117/12.886813

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available