Title
Quantum walks on a circle with optomechanical systems
Abstract
We propose an implementation of a quantum walk on a circle in an optomechanical system by encoding the walker on the phase space of a radiation field and the coin on a two-level state of a mechanical resonator. The dynamics of the system is obtained by applying Suzuki---Trotter decomposition. We numerically show that the system displays typical behaviors of quantum walks, namely the probability distribution evolves ballistically and the standard deviation of the phase distribution is linearly proportional to the number of steps. We also analyze the effects of decoherence by using the phase-damping channel on the coin space, showing the possibility to implement the quantum walk with present-day technology.
Year
DOI
Venue
2015
10.1007/s11128-015-1079-9
Quantum Information Processing
Keywords
Field
DocType
Optomechanical and electromechanical resonators,Quantum walk,Simulation
Quantum mechanics,Resonator,Phase space,Quantum walk,Quantum algorithm,Probability distribution,Quantum decoherence,Standard deviation,Classical mechanics,Encoding (memory),Physics
Journal
Volume
Issue
ISSN
14
10
Quantum Information Processing, October 2015, Volume 14, Issue 10 , pp 3595-3611
Citations 
PageRank 
References 
1
0.43
1
Authors
3
Name
Order
Citations
PageRank
jalil khatibi moqadam110.43
Renato Portugal25210.01
Marcos C. de Oliveira311.11