Gravitationally induced entanglement between two quantum walkers

Himanshu Badhani, C. M. Chandrashekar · arXiv (Cornell University) · 2019

Quantum walk is a synonym for multi-path interference and spread of particle in superposition of position space. We study the effects of a quantum mechanical interaction modeled to mimic quantum mechanical gravitational interaction between the two states of the walkers. The study has been carried out to investigate the entanglement generation between the two quantum walkers that do not otherwise interact. We see that the states do in fact get entangled more and more as the quantum walks unfold. We investigate the dependence of this entanglement generation on the coin parameter of the walks. With the introduction of noise into the dynamics, we also show the sensitivity of entanglement entropy between the two walkers on the noise introduced in one of the walks.

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