dorsal/arxiv
View SchemaPurification of Single Qubits and reconstruction from Post-Measurement State
| Authors | Chirag Dhara, N. D. Hari Dass |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406170 |
| URL | https://arxiv.org/abs/quant-ph/0406170 |
Abstract
Purification of mixed states in Quantum Mechanics, by which we mean the transformation into pure states, has been viewed as an {\it Operation} in the sense of Kraus et al and explicit {\it Kraus Operators} \cite{kra1,kra2,kra3} have been constructed for two seperate purification protocols. The first one, initially due to Schrodinger \cite{sch} and subsequently elaborated by Sudarshan et al \cite{sudar}, is based on the {\it preservation of probabilities}. We have constructed a second protocol here based on {\it optimization of fidelities}. Both purification protocols have been implemented on a single qubit in an attempt to improve the fidelity of the purified post measurement state of the qubit with the initial pure state. We have considered both {\it complete} and {\it partial} measurements and have established bounds and inequalities for various fidelities. We show that our purification protocol leads to better state reconstruction, most explicitly so, when partial measurements are made.
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"abstract": "Purification of mixed states in Quantum Mechanics, by which we mean the\ntransformation into pure states, has been viewed as an {\\it Operation} in the\nsense of Kraus et al and explicit {\\it Kraus Operators} \\cite{kra1,kra2,kra3}\nhave been constructed for two seperate purification protocols. The first one,\ninitially due to Schrodinger \\cite{sch} and subsequently elaborated by\nSudarshan et al \\cite{sudar}, is based on the {\\it preservation of\nprobabilities}. We have constructed a second protocol here based on {\\it\noptimization of fidelities}. Both purification protocols have been implemented\non a single qubit in an attempt to improve the fidelity of the purified post\nmeasurement state of the qubit with the initial pure state. We have considered\nboth {\\it complete} and {\\it partial} measurements and have established bounds\nand inequalities for various fidelities. We show that our purification protocol\nleads to better state reconstruction, most explicitly so, when partial\nmeasurements are made.",
"arxiv_id": "quant-ph/0406170",
"authors": [
"Chirag Dhara",
"N. D. Hari Dass"
],
"categories": [
"quant-ph"
],
"title": "Purification of Single Qubits and reconstruction from Post-Measurement State",
"url": "https://arxiv.org/abs/quant-ph/0406170"
},
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"variant": "snapshot-2026-03-01",
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