Quantum walks on a circle with optomechanical systems

Abstract

We propose an implementation of a quantum walk on a circle on 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.

6 figures, 16 pages in Quantum Information Processing, July 2015

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Cited by in corpus (13)

• Quantum Optical Two-Atom Thermal Diode
• Controllable Fano-type optical response and four-wave mixing via magnetoelastic coupling in a opto-magnomechanical system
• Low-temperature quantum thermometry boosted by coherence generation
• Establishing the equivalence between Szegedy's and coined quantum walks using the staggered model
• Staggered Quantum Walks with Hamiltonians
• Noisy quantum walks of two indistinguishable interacting particles
• Tunable partial polarization beam splitter and optomechanically induced Faraday effect
• Engineering entanglement between resonators by hot environment
• Transient temperature and mixing times of quantum walks on cycles
• Periodicity for the Hadamard walk on cycles
• Quantum walks and entanglement in cavity networks
• Mimicking the Hadamard discrete-time quantum walk with a time-independent Hamiltonian
• Simulating the discrete-time quantum walk dynamics with simultaneous coin and shift operators