Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics

2008/02/29 by Peng Xue, Barry C. Sanders, Alexandre Blais +2 · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.78.042334

published as Physical Review A 78, 042334 (2008) · 8 pages, 4 figures, 2 tables

arxiv created 2008/10/28 · openalex publication_date 2008/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum quincunx for walk on circles in phase space with indirect coin flip
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
• ac Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box

Cited by

• Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons
• Quantum Walk on a Line for a Trapped Ion