Decoherence on a two-dimensional quantum walk using four- and two-state particle

Details Decoherence on a two-dimensional quantum walk using four- and two-state particle Decoherence on a two-dimensional quantum walk using four- and two-state particle

2012-04-05

arxiv.org/abs/1204.1287v1

Physics

Quantum Physics

10 pages, 8 figures

Scientific paper

We study the decoherence of the two-dimensional discrete-time quantum walk evolution using four-state and two-state particles subjected to environmental effects, which lead to state flipping and depolarisation. By evolving the density matrix and measuring the particle-position and $x-y$ spatial entanglement using negativity, we show that the two scheme for quantum walk using two-state particle, with the coin operation and different Pauli basis as translational states are more robust against decoherence than the Grover walk using four-state particle. We also show that the quantum walk symmetries which hold for two-state quantum walk evolution breakdown for the Grover walk adding to various other advantages of using two-state particle over the four-state particle for the two-dimensional quantum walk.

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