Perfect state transfer via quantum probability theory

TL;DR

This paper presents a method for perfect quantum state transfer in spin networks by designing Hamiltonians with mirror symmetry, enabling high-fidelity transfer without external control using quantum probability theory.

Contribution

It introduces a novel approach to achieve perfect quantum state transfer by stratifying spin networks and designing Hamiltonians with mirror symmetry without external control.

Findings

Achieves unit fidelity quantum state transfer between antipodal vertices.

Designs Hamiltonians with mirror symmetry based on quantum probability theory.

No external control needed for the transfer process.

Abstract

The transfer of quantum states has played an important role in quantum information processing. In fact, transfer of quantum states from point $A$ to $B$ with unit fidelity is very important for us and we focus on this case. In recent years, in represented works, they designed Hamiltonian in a way that a mirror symmetry creates with with respect to network center. In this paper, we stratify the spin network with respect to an arbitrary vertex of the spin network o then we design coupling coefficient in a way to create a mirror symmetry in Hamiltonian with respect to center. By using this Hamiltonian and represented approach, initial state that have been encoded on the first vertex in suitable time and with unit fidelity from it's antipodes vertex can be received. In his work, there is no need to external control.