Discrete-time quantum walk approach to state transfer

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.062315· OSTI ID:21550065

Kurzynski, Pawel ^[1]; Wojcik, Antoni ^[2]

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1. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2 (Singapore)
2. Faculty of Physics, Adam Mickiewicz University, Umultowska 85, PL-61-614 Poznan (Poland)

We show that a quantum-state transfer, previously studied as a continuous-time process in networks of interacting spins, can be achieved within the model of discrete-time quantum walks with a position-dependent coin. We argue that, due to additional degrees of freedom, discrete-time quantum walks allow one to observe effects which cannot be observed in the corresponding continuous-time case. First, we study a discrete-time version of the engineered coupling protocol due to Christandl et al. [Phys. Rev. Lett. 92, 187902 (2004)] and then we discuss the general idea of conversion between continuous-time quantum walks and discrete-time quantum walks.

• OSTI ID: 21550065
• Journal Information: Physical Review. A, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevA.83.062315; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONVERSION
DEGREES OF FREEDOM
QUANTUM STATES
SPIN
TIME DEPENDENCE
ANGULAR MOMENTUM
PARTICLE PROPERTIES