Mainz 2017 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 16: Quantum Information: Concepts and Methods III
Q 16.2: Talk
Tuesday, March 7, 2017, 11:15–11:30, P 2
Quantum Cloning of Binary Coherent States - Optimal Transformations and Practical Limits — •Christian R. Müller1,2, 3, Gerd Leuchs1,2, 4, Christoph Marquardt1,2, and Ulrik L. Andersen1,2,3 — 1Max Planck Institute for the Science of Light, Erlangen, Germany. — 2Department of Physics, University of Erlangen-Nuremberg (FAU), Germany. — 3Department of Physics, Technical University of Denmark, Lyngby, Denmark — 4Department of Physics and Max Planck - University of Ottawa Centre for Extreme and Quantum Photonics, University of Ottawa, Canada
The notions of qubits and coherent states correspond to different physical systems and are described by specific formalisms. Qubits are associated with a twodimensional Hilbert space and can be illustrated on the Bloch sphere. In contrast, the underlying Hilbert space of coherent states is infinite-dimensional and the states are typically represented in phase space. For the particular case of binary coherent state alphabets these otherwise distinct formalisms can equally be applied. We capitalize this formal connection to analyse the properties of optimally cloned binary coherent states. Several practical and near-optimal cloning schemes are discussed and the associated fidelities are compared to the performance of the optimal cloner.
[1] C. R. Müller et al., arXiv:1609.02136v1 [quant-ph]