Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder

TL;DR

This paper compares two quantum-state-transfer Hamiltonians to determine which is more robust against static disorder, finding that their performances are approximately equivalent across various conditions.

Contribution

It provides a comparative analysis of two different Hamiltonians' robustness to static disorder in quantum state transfer.

Findings

Both Hamiltonians exhibit similar performance under static disorder.

The robustness of the two protocols is approximately equivalent.

Performance does not significantly depend on the input state.

Abstract

We analyse the performance of two quantum-state-transfer Hamiltonians in the presence of diagonal and off-diagonal disorder, and in terms of different measures. The first Hamiltonian pertains to a fully-engineered chain and the second to a chain with modified boundary couplings. The task is to find which Hamiltonian is the most robust to given levels of disorder and irrespective of the input state. In this respect, it is shown that the performance of the two protocols are approximately equivalent.