Perfect mirror transport protocol with higher dimensional quantum chains

TL;DR

This paper introduces a globally controlled quantum transport protocol for 1D chains of qudits or continuous variables, enabling perfect spatial mirroring of quantum states, with potential applications in microwave quantum state transfer.

Contribution

It presents a novel scheme for perfect quantum mirror transport in higher-dimensional chains, including continuous variable systems, with a proposed physical implementation using superconducting waveguides.

Findings

Achieves perfect quantum state mirroring in 1D chains.

Applicable to both discrete qudits and continuous variables.

Proposes a feasible implementation with superconducting circuits.

Abstract

A globally controlled scheme for quantum transport is proposed. The scheme works on a 1D chain of nearest neighbor coupled systems of qudits (finite dimension), or qunats (continuous variable), taking any arbitrary initial quantum state of the chain and producing a final quantum state which is perfectly spatially mirrored about the mid-point of the chain. As a particular novel application, the method can be used to transport continuous variable (CV) quantum states. A physical realization is proposed where it is shown how the quantum states of the microwave fields held in a chain of driven superconducting coplanar waveguides can experience quantum mirror transport when coupled by switchable Cooper Pair Boxes.