Optimized dynamical control of state transfer through noisy spin chains

TL;DR

This paper introduces an optimal control method for quantum state transfer in noisy spin chains, balancing speed and fidelity by dynamically tuning boundary qubits, and demonstrating robustness against various noise types.

Contribution

It presents a novel dynamical control technique that optimizes the transmission spectrum for high-fidelity, fast state transfer in noisy quantum channels, including static and fluctuating noise.

Findings

Achieves improved speed-fidelity tradeoff in noisy spin chains.

Demonstrates robustness against static and fluctuating noise.

Facilitates transfer despite diagonal disorder.

Abstract

We propose a method of optimally controlling the tradeoff of speed and fidelity of state transfer through a noisy quantum channel (spin-chain). This process is treated as qubit state-transfer through a fermionic bath. We show that dynamical modulation of the boundary-qubits levels can ensure state transfer with the best tradeoff of speed and fidelity. This is achievable by dynamically optimizing the transmission spectrum of the channel. The resulting optimal control is robust against both static and fluctuating noise in the channel's spin-spin couplings. It may also facilitate transfer in the presence of diagonal disorder (on site energy noise) in the channel.