Fidelity of remote state preparation can be enhanced by local operation

TL;DR

This paper investigates how local operations affect the fidelity of remote state preparation, showing that nonunital operations can enhance fidelity while unital ones cannot, with implications for quantum communication.

Contribution

It demonstrates that nonunital local operations can improve RSP-fidelity and identifies optimal parameters for amplitude damping channels to enhance Bell-diagonal states.

Findings

Unital local operations do not increase RSP-fidelity.

Nonunital local operations can enhance RSP-fidelity.

RSP-fidelity can abruptly change or vanish under local decoherence.

Abstract

Remote state preparation (RSP) is a quantum information protocol which allows preparing a quantum state at a distant location with the help of a preshared nonclassical resource state and a classical channel. The efficiency of successfully doing this task can be represented by the RSP-fidelity of the resource state. In this paper, we study the influence on the RSP-fidelity by applying certain local operations on the resource state. We prove that RSP-fidelity does not increase for any unital local operation. However, for nonunital local operation, such as local amplitude damping channel, we find that some resource states can be enhanced to increase the RSP-fidelity. We give the optimal parameter of symmetric local amplitude damping channel for enhancing Bell-diagonal resource states. In addition, we show RSP-fidelity can suddenly change or even vanish at instant under local decoherence.