Staggered quantum walks with superconducting microwave resonators

Abstract

The staggered quantum walk model on a graph is defined by an evolution operator that is the product of local operators related to two or more independent graph tessellations. A graph tessellation is a partition of the set of nodes that respects the neighborhood relation. Flip-flop coined quantum walks with the Hadamard or Grover coins can be expressed as staggered quantum walks by converting the coin degree of freedom into extra nodes in the graph. We propose an implementation of the staggered model with superconducting microwave resonators, where the required local operations are provided by the nearest neighbor interaction of the resonators coupled through superconducting quantum interference devices. The tunability of the interactions makes this system an excellent toolbox for this class of quantum walks. We focus on the one-dimensional case and discuss its generalization to a more general class known as triangle-free graphs.

11 pages, 5 figures

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Cited by in corpus (8)

• Staggered Quantum Walks with Hamiltonians
• Quantum search on the two-dimensional lattice using the staggered model with Hamiltonians
• Boundary-induced coherence in the staggered quantum walk on different topologies
• Second-order topological insulator in a coinless discrete-time quantum walk
• Staggered Quantum Walk on Hexagonal Lattices
• Decoherence on Staggered Quantum Walks
• Discretization of continuous-time quantum walks via the staggered model with Hamiltonians
• Absorption-based qubit estimation in discrete-time quantum walks