Ideal Quantum Tele-amplification up to a Selected Energy Cut-off using Linear Optics

Abstract

We introduce a linear optical technique that can implement ideal quantum tele-amplification up to the $n^{\mathrm{th}}$ Fock state, where $n$ can be any positive integer. Here tele-amplification consists of both quantum teleportation and noiseless linear amplification (NLA). This simple protocol consists of a beam-splitter and an $(n+1)$-splitter, with $n$ ancillary photons and detection of $n$ photons. For a given target fidelity, our technique improves success probability and physical resource costs by orders of magnitude over current alternative teleportation and NLA schemes. We show how this protocol can also be used as a loss-tolerant quantum relay for entanglement distribution and distillation.

6 pages (main) + 16 pages (supplementary), 5 figures (main) + 11 figures (supplementary). Main change is the addition of a new section describing how our scheme still works well given experimental imperfections + additional success probability paragraph

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• Quantum error cancellation in photonic systems -- undoing photon losses
• Performance optimization of continuous variable quantum teleportation with generalized photon-varying non-Gaussian operations
• Quantum communications in continuous variable systems
• Entanglement distribution via satellite: an evaluation of competing protocols assuming realistic free-space optical channels
• Teleamplification on the Borealis boson-sampling device
• Multipartite entanglement classes of a multiport beam-splitter
• Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions