Controlled bidirectional remote state preparation in noisy environment: A generalized view

TL;DR

This paper extends controlled bidirectional remote state preparation protocols to a broad class of entangled states and analyzes their robustness under amplitude-damping and phase-damping noise affecting travel qubits.

Contribution

It generalizes existing remote state preparation protocols to controlled bidirectional scenarios and models the impact of common noise channels on these protocols.

Findings

Protocols are adaptable to a large class of entangled states.

Noise effects on probabilistic, deterministic, and joint protocols are systematically analyzed.

Insights into maintaining protocol fidelity under realistic noisy conditions.

Abstract

It is shown that a realistic, controlled bidirectional remote state preparation is possible using a large class of entangled quantum states having a particular structure. Existing protocols of probabilistic, deterministic and joint remote state preparation are generalized to obtain the corresponding protocols of controlled bidirectional remote state preparation (CBRSP). A general way of incorporating the effects of two well known noise processes, the amplitude-damping and phase-damping noise, on the probabilistic CBRSP process is studied in detail by considering that noise only affects the travel qubits of the quantum channel used for the probabilistic CBRSP process. Also indicated is how to account for the effect of these noise channels on deterministic and joint remote state CBRSP protocols.