dorsal/arxiv
View SchemaOptimal probabilistic cloning and purification of quantum states
| Authors | Jaromir Fiurasek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403165 |
| URL | https://arxiv.org/abs/quant-ph/0403165 |
| DOI | 10.1103/PhysRevA.70.032308 |
| Journal | Phys. Rev. A 70, 032308 (2004). |
Abstract
We investigate the probabilistic cloning and purification of quantum states. The performance of these probabilistic operations is quantified by the average fidelity between the ideal and actual output states. We provide a simple formula for the maximal achievable average fidelity and we explictly show how to construct a probabilistic operation that achieves this fidelity. We illustrate our method on several examples such as the phase covariant cloning of qubits, cloning of coherent states, and purification of qubits transmitted via depolarizing channel and amplitude damping channel. Our examples reveal that the probabilistic cloner may yield higher fidelity than the best deterministic cloner even when the states that should be cloned are linearly dependent and are drawn from a continuous set.
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"abstract": "We investigate the probabilistic cloning and purification of quantum states.\nThe performance of these probabilistic operations is quantified by the average\nfidelity between the ideal and actual output states. We provide a simple\nformula for the maximal achievable average fidelity and we explictly show how\nto construct a probabilistic operation that achieves this fidelity. We\nillustrate our method on several examples such as the phase covariant cloning\nof qubits, cloning of coherent states, and purification of qubits transmitted\nvia depolarizing channel and amplitude damping channel. Our examples reveal\nthat the probabilistic cloner may yield higher fidelity than the best\ndeterministic cloner even when the states that should be cloned are linearly\ndependent and are drawn from a continuous set.",
"arxiv_id": "quant-ph/0403165",
"authors": [
"Jaromir Fiurasek"
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"quant-ph"
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"doi": "10.1103/PhysRevA.70.032308",
"journal_ref": "Phys. Rev. A 70, 032308 (2004).",
"title": "Optimal probabilistic cloning and purification of quantum states",
"url": "https://arxiv.org/abs/quant-ph/0403165"
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