Simulating Anderson localization via a quantum walk on a one-dimensional lattice of superconducting qubits
arXiv:1311.4284 · doi:10.1103/PhysRevA.89.022309
Abstract
Quantum walk (QW) in presence of lattice disorders leads to a multitude of interesting phenomena, such as Anderson localization. While QW has been realized in various optical and atomic systems, its implementation with superconducting qubits still remains pending. The major challenge in simulating QW with superconducting qubits emerges from the fact that on-chip superconducting qubits cannot hop between two adjacent lattice sites. Here we overcome this barrier and develop a scheme to realize the discrete time QW by placing a pair of superconducting qubits on each site of a 1D lattice and treating an excitation as a walker. It is also shown that lattice disorders can be introduced and fully controlled within this scheme by tuning the qubit parameters. We observe a distinct signature of transition from the ballistic regime to a localized QW with an increasing strength of disorder. Finally, an eight-qubit experiment is proposed where the signature of localized and delocalized regimes can be detected with existing superconducting technology.
14 pages, 10 figures, PRA version
References in corpus (10)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Universal computation by quantum walk
- Environment-Assisted Quantum Transport
- Spatial search by quantum walk
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Universal computation by multi-particle quantum walk
- Quantum Walks on a Random Environment
- Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics
- Localization of phonons in ion traps with controlled quantum disorder
- Quantum walk on circles in phase space
Cited by in corpus (25)
- Perfect state transfer and efficient quantum routing: a discrete-time quantum walk approach
- Recent progress in quantum simulation using superconducting circuits
- Entangling Power of Disordered Quantum Walks
- Review on Quantum Walk Computing: Theory, Implementation, and Application
- Non-Markovian continuous-time quantum walks on lattices with dynamical noise
- Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
- Two-dimensional quantum walk under artificial magnetic field
- Quantum walks with sequential aperiodic jumps
- Qubit state transfer via discrete-time quantum walks
- Aperiodic space-inhomogeneous quantum walks: localization properties, energy spectra and enhancement of entanglement
- Attractor-repeller pair of topological zero-modes in a nonlinear quantum walk
- Extraordinary behaviors in two-dimensional decoherent alternative quantum walk
- An efficient protocol of quantum walk in circuit QED
- Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states
- Quantum walks on random lattices: Diffusion, localization and the absence of parametric quantum speed-up
- Parrondo's effect in continuous-time quantum walks
- Discrete dynamics and non-Markovianity
- GPU-accelerated algorithms for many-particle continuous-time quantum walks
- A realization of a quasi-random walk for atoms in time-dependent optical potentials
- The stationary measure for diagonal quantum walk with one defect
- Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain
- Localization of quantum walk with classical randomness: Comparison between manual methods and supervised machine learning
- Coherent transport over an explosive percolation lattice
- Quantum walks assisted by particle number fluctuations
- Quantum walkers in a disordered lattice with power-law hopping