Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics
Peng Xue, Barry C. Sanders, Alexandre Blais, Kevin Lalumière
DOI 10.1103/PhysRevA.78.042334 · Physical Review A
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Abstract
We show how a quantum walk can be implemented in a quantum quincunx created via superconducting circuit quantum electrodynamics (QED) and how interpolation from a quantum to a random walk is implemented by controllable decoherence using a two-resonator system. Direct control over the coin qubit is difficult to achieve in either cavity or circuit QED, but we show that a Hadamard coin flip can be effected via direct driving of the cavity, with the result that the walker jumps between circles in phase space, but still exhibits quantum walk behavior over 15 steps.
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