dorsal/arxiv
View SchemaOptimized quantum nondemolition measurement of a field quadrature
| Authors | Matteo G. A. Paris |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203097 |
| URL | https://arxiv.org/abs/quant-ph/0203097 |
| DOI | 10.1103/PhysRevA.65.012110 |
| Journal | Physical Review A, Volume 65, 012110 (2002) |
Abstract
We suggest an interferometric scheme assisted by squeezing and linear feedback to realize the whole class of field-quadrature quantum nondemolition measurements, from Von Neumann projective measurement to fully non-destructive non-informative one. In our setup, the signal under investigation is mixed with a squeezed probe in an interferometer and, at the output, one of the two modes is revealed through homodyne detection. The second beam is then amplitude-modulated according to the outcome of the measurement, and finally squeezed according to the transmittivity of the interferometer. Using strongly squeezed or anti-squeezed probes respectively, one achieves either a projective measurement, i.e. homodyne statistics arbitrarily close to the intrinsic quadrature distribution of the signal, and conditional outputs approaching the corresponding eigenstates, or fully non-destructive one, characterized by an almost uniform homodyne statistics, and by an output state arbitrarily close to the input signal. By varying the squeezing between these two extremes, or simply by tuning the internal phase-shift of the interferometer, the whole set of intermediate cases can also be obtained. In particular, an optimal quantum nondemolition measurement of quadrature can be achieved, which minimizes the information gain versus state disturbance trade-off.
{
"annotation_id": "60fbf596-9453-4a56-b721-35794649d8fa",
"date_created": "2026-03-02T18:01:49.152000Z",
"date_modified": "2026-03-02T18:01:49.152000Z",
"file_hash": "7eba06c15e42249726be690ab75fbd0230ecaa06fb19e3b3952bad52e2a23bcc",
"private": false,
"record": {
"abstract": "We suggest an interferometric scheme assisted by squeezing and linear\nfeedback to realize the whole class of field-quadrature quantum nondemolition\nmeasurements, from Von Neumann projective measurement to fully non-destructive\nnon-informative one. In our setup, the signal under investigation is mixed with\na squeezed probe in an interferometer and, at the output, one of the two modes\nis revealed through homodyne detection. The second beam is then\namplitude-modulated according to the outcome of the measurement, and finally\nsqueezed according to the transmittivity of the interferometer. Using strongly\nsqueezed or anti-squeezed probes respectively, one achieves either a projective\nmeasurement, i.e. homodyne statistics arbitrarily close to the intrinsic\nquadrature distribution of the signal, and conditional outputs approaching the\ncorresponding eigenstates, or fully non-destructive one, characterized by an\nalmost uniform homodyne statistics, and by an output state arbitrarily close to\nthe input signal. By varying the squeezing between these two extremes, or\nsimply by tuning the internal phase-shift of the interferometer, the whole set\nof intermediate cases can also be obtained. In particular, an optimal quantum\nnondemolition measurement of quadrature can be achieved, which minimizes the\ninformation gain versus state disturbance trade-off.",
"arxiv_id": "quant-ph/0203097",
"authors": [
"Matteo G. A. Paris"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.012110",
"journal_ref": "Physical Review A, Volume 65, 012110 (2002)",
"title": "Optimized quantum nondemolition measurement of a field quadrature",
"url": "https://arxiv.org/abs/quant-ph/0203097"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3433aca2-1192-490d-a89b-ffafb4f792f4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}