Quantum state transfer by time reversal in the continuum

TL;DR

This paper proposes a theoretical method for high-fidelity quantum state transfer using time reversal in a continuum, which is less sensitive to disorder and does not require engineered hopping rates, enabling mirror image transformation in quantum chains.

Contribution

It introduces a novel approach for quantum state transfer leveraging time reversal in the continuum, avoiding complex hopping rate engineering and enhancing robustness.

Findings

Achieves perfect quantum state transfer after time reversal under symmetric energy spectrum conditions.

Enables mirror image transformation in a linear chain without inhomogeneous hopping.

Demonstrates reduced sensitivity to disorder compared to static chain methods.

Abstract

A method for high-fidelity quantum state transfer in a quantum network coupled to a continuum, based on time reversal in the continuum after decay, is theoretically suggested. Provided that the energy spectrum of the network is symmetric around a reference energy and symmetric energy states are coupled the same way to the common continuum, ideal perfect state transfer can be obtained after time reversal. In particular, it is shown that in a linear tight-binding chain a quantum state can be transformed into its mirror image with respect to the center of the chain after a controllable time. As compared to quantum mirror image based on coherent transport in a static chain with properly tailored inhomogeneous hopping rates, our method does not require hopping rate engineering and is less sensitive to disorder for long transfer times.