dorsal/arxiv
View SchemaExperimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR
| Authors | Arindam Ghosh, Anil Kumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509139 |
| URL | https://arxiv.org/abs/quant-ph/0509139 |
| DOI | 10.1016/j.physleta.2005.08.092 |
Abstract
Geometric phase has been proposed as one of the promising methodologies to perform fault tolerant quantum computations. However, since decoherence plays a crucial role in such studies, understanding of mixed state geometric phase has become important. While mixed state geometric phase was first introduced mathematically by Uhlmann, recently Sjoqvist et al. [Phys. Rev. Lett. 85(14), 2845 (2000)] have described the mixed state geometric phase in the context of quantum interference and shown theoretically that the visibility as well as the shift of the interference pattern are functions of geometric phase and the purity of the mixed state. Here we report the first experimental study of the dependence of interference visibility and shift of the interference pattern on the mixed state geometric phase by Nuclear Magnetic Resonance.
{
"annotation_id": "205e4b7a-825c-46ae-85be-9703d01d5de0",
"date_created": "2026-03-02T18:02:20.737000Z",
"date_modified": "2026-03-02T18:02:20.737000Z",
"file_hash": "045bdb42a6e2c6bd00b0855f13be4126ee8a90133701df5b9d838de879d3ccb5",
"private": false,
"record": {
"abstract": "Geometric phase has been proposed as one of the promising methodologies to\nperform fault tolerant quantum computations. However, since decoherence plays a\ncrucial role in such studies, understanding of mixed state geometric phase has\nbecome important. While mixed state geometric phase was first introduced\nmathematically by Uhlmann, recently Sjoqvist et al. [Phys. Rev. Lett. 85(14),\n2845 (2000)] have described the mixed state geometric phase in the context of\nquantum interference and shown theoretically that the visibility as well as the\nshift of the interference pattern are functions of geometric phase and the\npurity of the mixed state. Here we report the first experimental study of the\ndependence of interference visibility and shift of the interference pattern on\nthe mixed state geometric phase by Nuclear Magnetic Resonance.",
"arxiv_id": "quant-ph/0509139",
"authors": [
"Arindam Ghosh",
"Anil Kumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.08.092",
"title": "Experimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR",
"url": "https://arxiv.org/abs/quant-ph/0509139"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f99cf648-7bb7-458d-9765-dce46e17c39a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}