Quantum teleportation of cat states with binary-outcome measurements

TL;DR

This paper introduces a quantum teleportation protocol for cat states using binary-outcome measurements, suitable for various quantum platforms, achieving near-perfect fidelity with optimized parameters.

Contribution

It presents a novel teleportation scheme employing dispersive measurements and beam splitting, expanding applicability to platforms where homodyne detection is less natural.

Findings

Near-perfect fidelity achievable with multiple measurements

Protocol compatible with trapped ions, circuit QED, acoustodynamics

Optimal parameters identified for maximum fidelity

Abstract

We propose a teleportation protocol involving beam splitting operations and binary-outcome measurements, such as parity measurements. These operations have a straightforward implementation using the dispersive regime of the Jaynes-Cummings Hamiltonian, making our protocol suitable for a broad class of platforms, including trapped ions, circuit quantum electrodynamics and acoustodynamics systems. In these platforms homodyne measurements of the bosonic modes are less natural than dispersive measurements, making standard continuous variable teleportation unsuitable. In our protocol, Alice is in possession of two bosonic modes and Bob a single mode. An entangled mode pair between Alice and Bob is created by performing a beam splitter operation on a cat state. An unknown qubit state encoded by cat states is then teleported from Alice to Bob after a beamsplitting operation, measurement sequence, and a conditional correction. In the case of multiple measurements, near-perfect fidelity can be obtained. We discuss the optimal parameters in order to maximize the fidelity under a variety of scenarios.