Nondeterministic Amplifier for Two Photon Superpositions
John Jeffers

TL;DR
This paper proposes a nondeterministic noiseless amplifier based on quantum scissors capable of perfect amplification of two-photon superpositions, outperforming multiple one-photon amplifiers in efficiency and fidelity.
Contribution
It introduces a novel amplifier design that achieves perfect amplification of two-photon states, improving efficiency over existing one-photon based methods.
Findings
The device can amplify two-photon superpositions with high fidelity.
It is more efficient than multiple one-photon amplifiers.
Performance is demonstrated using fidelity and success probability metrics.
Abstract
We examine heralded nondeterministic noiseless amplification based on the quantum scissors device, which has been shown to increase the one-photon amplitude of a state at the expense of the vacuum-state amplitude. Here we propose using the same basic design to perform perfect amplification in a basis set of up to two photons. The device is much more efficient than several one-photon amplifiers working in tandem. When used to amplify coherent states this advantage is shown using either fidelity or in terms of probability of sucessful action, or more strikingly in a combination of the two.
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