# Cloning a qutrit

@article{Cerf2002CloningAQ,
title={Cloning a qutrit},
author={Nicolas J. Cerf and Thomas Durt and Nicolas Gisin},
journal={Journal of Modern Optics},
year={2002},
volume={49},
pages={1355 - 1373}
}
• Published 15 October 2001
• Physics
• Journal of Modern Optics
Several classes of state-dependent quantum cloners for three-level systems are investigated. These cloners optimally duplicate some of the four maximally-conjugate bases with an equal fidelity, thereby extending the phasecovariant qubit cloner to qutrits. Three distinct classes of qutrit cloners can be distinguished, depending on whether two, three, or four maximally-conjugate bases are cloned as well (the latter case simply corresponds to the universal qutrit cloner). These results apply to…
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• Physics
• 2003
The study of quantum cryptography and quantum entanglement has traditionally been based on two-level quantum systems (qubits) and more recently on three-level systems (qutrits). We investigate
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• Economics
• 2006
In a previous paper [Phys. Rev. A69 (2004) 062316], two of us (JD and TD) derived a necessary and sufficient condition for the reducibility of 3 qubit one-to-two cloners to 2 qudit one-to-two
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• Computer Science, Physics
• 2003
This paper considers a generalization of Ekert's entanglement-based quantum cryptographic protocol where qubits are replaced by three-level systems (qutrits), and exhibits the explicit form of this cloner, which is distinct from the previously known cloners.
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• Physics
• 2003
We investigate the class of quantum cloning machines that equally duplicate all real states in a Hilbert space of arbitrary dimension. By using the no-signaling condition, namely, that cloning cannot
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We investigate the problem of cloning a set of states that is invariant under the action of an irreducible group representation. We then characterize the cloners that are extremal in the convex set
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• Physics
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A cloned qutrit and its utility in information processing tasks
• Computer Science
Quantum Inf. Process.
• 2014
This work analyzes the efficacy of an output as a resource from a universal quantum cloning machine in information processing tasks such as teleportation and dense coding and finds the output states are found to be NPT states for a certain range of machine parameters.

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