Reexamination of decoherence in quantum walks on the hypercube

Abstract

The effect of decoherence on the continuous-time quantum walk on the hypercube is revisited. Previously, an exact solution was found for a decoherence model that preserved the effective tensor-product form of the dynamics. Here a new model is presented, inspired by perfect quantum state transfer in qubit networks. A perturbative solution is found for the dynamics of this model which is not of a tensor-product form. In contrast to previous results, the hitting probability has a lower bound that is independent of the hypercube dimension.

8 pages, 4 figures, revised title and text for PRA

References in corpus (4)

• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Dephasing assisted transport: Quantum networks and biomolecules
• Mixing Times in Quantum Walks on the Hypercube
• Theoretical analysis of perfect quantum state transfer with superconducting qubits