An efficient protocol of quantum walk in circuit QED

Abstract

Implementation of discrete-time quantum walk (DTQW) with superconducting qubits is difficult since on-chip superconducting qubits cannot hop between lattice sites. We propose an efficient protocol for the implementation of DTQW in circuit quantum electrodynamics (QED), in which only $N+1$ qutrits and $N$ assistant cavities are needed for an $N$-step DTQW. The operation of each DTQW step is very quick because only resonant processes are adopted. The numerical simulations show that high-similarity DTQW with the number of step up to $20$ is feasible with present-day circuit QED technique. This protocol can help to study properties and applications of large-step DTQW in experiments, which is important for the development of quantum computation and quantum simulation in circuit QED.

arXiv comment14 pages, 6 figures

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• Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
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• One-Dimensional Lazy Quantum walk in Ternary System
• Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware
• Steered discrete-time quantum walks for engineering of quantum states
• High robustness quantum walk search algorithm with qudit Householder traversing coin, machine learning study