Discrete Time Quantum Walk (DTQW) implemented in superconducting cavity QED architectures.

Quantum walk (QW) has been implemented in various quantum mechanical systems such as superconducting qubit, photonic, and Rydberg atom systems and attracted considerable attentions due to its promising applications to quantum simulations and quantum algorithms. Here, we propose an idea to possibly resolve some issues in 1D discrete-time-quantum-walk(DTQW) experiment in superconducting qubit system. Our DTQW can utilize a consecutive dynamic protocol operated in two separate cylindrical stub readout and storage cavities that are intercoupled via a transmon qubit, which may allow us to avoid the existing limitations in DTQW imposed by the non-orthogonality of storage cavity's coherent states. Accordingly, QW can be realized in the Fock space, not QW in phase space, by utilizing high Q-factor cylindrical stub cavity structure. In addition, it is expected that this new approach could achieve a multi-dimensional DTQW.