Arbitrary entangled state transfer via a topological qubit chain

TL;DR

This paper proposes a robust method for transferring arbitrary entangled states through a topological qubit chain modeled by an extended Su-Schrieffer-Heeger system, enabling high-fidelity quantum state transfer in superconducting circuits.

Contribution

It introduces a novel approach to transfer arbitrary entangled states via topological edge states in a qubit chain, with robustness against disorder and practical implementation considerations.

Findings

Arbitrary entangled states can be encoded and transferred via topological edge states.

The transfer process is robust against coupling and time disorder.

The method is feasible with superconducting qubit systems.

Abstract

Quantum state transfer is one of the basic tasks in quantum information processing. We here propose a theoretical approach to realize arbitrary entangled state transfer through a qubit chain, which is a class of extended Su-Schrieffer-Heeger models and accommodates multiple topological edge states separated from the bulk states. We show that an arbitrary entangled state, from $2$-qubit to $\mathcal{N}$-qubit, can be encoded in the corresponding edge states, and then adiabatically transferred from one end to the other of the chain. The dynamical phase differences resulting from the time evolutions of different edge states can be eliminated by properly choosing evolution time. Our approach is robust against both the qubit-qubit coupling disorder and the evolution time disorder. For the concreteness of discussions, we assume that such a chain is constructed by an experimentally feasible superconducting qubit system, meanwhile, our proposal can also be applied to other systems.