dorsal/arxiv
View SchemaInformation cloning of harmonic oscillator coherent states and its fidelity
| Authors | N. D. Hari Dass, Pradeep Ganesh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202020 |
| URL | https://arxiv.org/abs/quant-ph/0202020 |
Abstract
We show that in the case of unknown {\em harmonic oscillator coherent states} it is possible to achieve what we call {\it perfect information cloning}. By this we mean that it is still possible to make arbitrary number of copies of a state which has {\it exactly} the same information content as the original unknown coherent state. By making use of this {\it perfect information cloning} it would be possible to estimate the original state through measurements and make arbitrary number of copies of the estimator. We define the notion of a {\em Measurement Fidelity}. We show that this information cloning gives rise, in the case of $1\to N$, to a {\em distribution} of {\em measurement fidelities} whose average value is ${1\over 2}$ irrespective of the number of copies originally made. Generalisations of this to the $M\to MN$ case as well as the measurement fidelities for Gaussian cloners are also given.
{
"annotation_id": "3be5aae8-e25f-4ade-91ea-1929edbc8cc7",
"date_created": "2026-03-02T18:01:49.551000Z",
"date_modified": "2026-03-02T18:01:49.551000Z",
"file_hash": "fa5aaf350a5298a91c3088dff7ee33e29edd74ae00fa2193938bb8cfe2a3a523",
"private": false,
"record": {
"abstract": "We show that in the case of unknown {\\em harmonic oscillator coherent states}\nit is possible to achieve what we call {\\it perfect information cloning}. By\nthis we mean that it is still possible to make arbitrary number of copies of a\nstate which has {\\it exactly} the same information content as the original\nunknown coherent state. By making use of this {\\it perfect information cloning}\nit would be possible to estimate the original state through measurements and\nmake arbitrary number of copies of the estimator. We define the notion of a\n{\\em Measurement Fidelity}. We show that this information cloning gives rise,\nin the case of $1\\to N$, to a {\\em distribution} of {\\em measurement\nfidelities} whose average value is ${1\\over 2}$ irrespective of the number of\ncopies originally made. Generalisations of this to the $M\\to MN$ case as well\nas the measurement fidelities for Gaussian cloners are also given.",
"arxiv_id": "quant-ph/0202020",
"authors": [
"N. D. Hari Dass",
"Pradeep Ganesh"
],
"categories": [
"quant-ph"
],
"title": "Information cloning of harmonic oscillator coherent states and its fidelity",
"url": "https://arxiv.org/abs/quant-ph/0202020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a05feb39-9ab9-4b48-a34c-b9fa83e89298",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}