dorsal/arxiv
View SchemaOptimal probabilistic estimation of quantum states
| Authors | Jaromir Fiurasek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606156 |
| URL | https://arxiv.org/abs/quant-ph/0606156 |
| DOI | 10.1088/1367-2630/8/9/192 |
| Journal | New J. Phys. 8, 192 (2006). |
Abstract
We extend the concept of probabilistic unambiguous discrimination of quantum states to quantum state estimation. We consider a scenario where the measurement device can output either an estimate of the unknown input state or an inconclusive result. We present a general method how to evaluate the maximum fidelity achievable by the probabilistic estimation strategy. We illustrate our method on two explicit examples: estimation of a qudit from a pair of conjugate qudits and phase covariant estimation of a qubit from N copies. We show that by allowing for inconclusive results it is possible to reach estimation fidelity higher than that achievable by the best deterministic estimation strategy.
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"abstract": "We extend the concept of probabilistic unambiguous discrimination of quantum\nstates to quantum state estimation. We consider a scenario where the\nmeasurement device can output either an estimate of the unknown input state or\nan inconclusive result. We present a general method how to evaluate the maximum\nfidelity achievable by the probabilistic estimation strategy. We illustrate our\nmethod on two explicit examples: estimation of a qudit from a pair of conjugate\nqudits and phase covariant estimation of a qubit from N copies. We show that by\nallowing for inconclusive results it is possible to reach estimation fidelity\nhigher than that achievable by the best deterministic estimation strategy.",
"arxiv_id": "quant-ph/0606156",
"authors": [
"Jaromir Fiurasek"
],
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"quant-ph"
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"doi": "10.1088/1367-2630/8/9/192",
"journal_ref": "New J. Phys. 8, 192 (2006).",
"title": "Optimal probabilistic estimation of quantum states",
"url": "https://arxiv.org/abs/quant-ph/0606156"
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