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Optimally cloned binary coherent states

MPS-Authors
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Mueller,  C. R.
Quantum Information Processing, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;
University of Ottawa;

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Marquardt,  Ch.
Quantum Information Processing, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Andersen,  U. L.
Quantum Information Processing, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;
Technical University of Denmark, Dept Phys;

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Citation

Mueller, C. R., Leuchs, G., Marquardt, C., & Andersen, U. L. (2017). Optimally cloned binary coherent states. PHYSICAL REVIEW A, 96(4): 042311. doi:10.1103/PhysRevA.96.042311.


Cite as: http://hdl.handle.net/21.11116/0000-0000-8357-A
Abstract
Binary coherent state alphabets can be represented in a two-dimensional Hilbert space. We capitalize this formal connection between the otherwise distinct domains of qubits and continuous variable states to map binary phase-shift keyed coherent states onto the Bloch sphere and to derive their quantum-optimal clones. We analyze the Wigner function and the cumulants of the clones, and we conclude that optimal cloning of binary coherent states requires a nonlinearity above second order. We propose several practical and near-optimal cloning schemes and compare their cloning fidelity to the optimal cloner.