dorsal/arxiv
View SchemaMinimum Decision Cost for Quantum Ensembles
| Authors | Dorje Brody, Bernhard Meister |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9507008 |
| URL | https://arxiv.org/abs/quant-ph/9507008 |
| DOI | 10.1103/PhysRevLett.76.1 |
| Journal | Phys.Rev.Lett. 76 (1996) 1-5 |
Abstract
For a given ensemble of $N$ independent and identically prepared particles, we calculate the binary decision costs of different strategies for measurement of polarised spin 1/2 particles. The result proves that, for any given values of the prior probabilities and any number of constituent particles, the cost for a combined measurement is always less than or equal to that for any combination of separate measurements upon sub-ensembles. The Bayes cost, which is that associated with the optimal strategy (i.e., a combined measurement) is obtained in a simple closed form.
{
"annotation_id": "bb39c267-334d-4943-a4f9-54721683b674",
"date_created": "2026-03-02T18:02:38.021000Z",
"date_modified": "2026-03-02T18:02:38.021000Z",
"file_hash": "4d6ae9dc3d0b902c0242c36cee2b8a9c5b9c9bbd9d7139d319bd0b64ca2376e5",
"private": false,
"record": {
"abstract": "For a given ensemble of $N$ independent and identically prepared particles,\nwe calculate the binary decision costs of different strategies for measurement\nof polarised spin 1/2 particles. The result proves that, for any given values\nof the prior probabilities and any number of constituent particles, the cost\nfor a combined measurement is always less than or equal to that for any\ncombination of separate measurements upon sub-ensembles. The Bayes cost, which\nis that associated with the optimal strategy (i.e., a combined measurement) is\nobtained in a simple closed form.",
"arxiv_id": "quant-ph/9507008",
"authors": [
"Dorje Brody",
"Bernhard Meister"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.76.1",
"journal_ref": "Phys.Rev.Lett. 76 (1996) 1-5",
"title": "Minimum Decision Cost for Quantum Ensembles",
"url": "https://arxiv.org/abs/quant-ph/9507008"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5d770d83-c581-43c9-9d30-5d6a8973ee31",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}