General Quantum State Swap: an XY model analysis

TL;DR

This paper introduces a method to evaluate the feasibility of exact quantum state swaps in arbitrary Hamiltonian systems, demonstrated through the XY model, aiding the design of quantum information transfer protocols.

Contribution

It presents a straightforward approach to calculate the probability of exact state swaps using an exchange operator, applicable to various quantum dynamics and setups.

Findings

Method applied to XY model reveals unnoticed features.

Framework enables evaluation of quantum state transfer feasibility.

Supports design of quantum amplification and transfer devices.

Abstract

We consider an exact state swap, defined as the swap between two quantum states |A> and |B> in the Hilbert space of a quantum system. We show that, given an arbitrary Hamiltonian dynamics, there is a straightforward approach to calculating the probability of the occurrence of an exact state swap, by employing an exchange operator P_{AB}. For a given dynamics, the feasibilities of proposed quantum setups, such as quantum state amplifications and transfers can be evaluated. These setups are only distinguished by different forms of P_{AB}, which easily lead to innovative designs of quantum setups or devices. We illustrate the method with the isotropic XY model, whose unnoticed features are revealed.