Quantum Walks with Dynamical Control: Graph Engineering, Initial State Preparation and State Transfer

TL;DR

This paper demonstrates advanced quantum walk experiments with dynamic control over graph structures and initial states, enabling flexible state transfer and exploration of quantum transport phenomena.

Contribution

It introduces a versatile platform for time-multiplexed quantum walks with dynamic graph and state control, including state transfer capabilities.

Findings

Successful implementation of time-multiplexed quantum walks with adjustable graphs.

Preparation of non-localized initial states for quantum walks.

Effective transfer of arbitrary quantum states to multiple output modes.

Abstract

Quantum walks are a well-established model for the study of coherent transport phenomena and provide a universal platform in quantum information theory. Dynamically influencing the walker's evolution gives a high degree of flexibility for studying various applications. Here, we present time-multiplexed finite quantum walks of variable size, the preparation of non-localized input states and their dynamical evolution. As a further application, we implement a state transfer scheme for an arbitrary input state to two different output modes. The presented experiments rely on the full dynamical control of a time-multiplexed quantum walk, which includes adjustable coin operation as well as the possibility to flexibly configure the underlying graph structures.