dorsal/arxiv
View SchemaInterference and entanglement: an intrinsic approach
| Authors | Vladimir I Man'ko, Giuseppe Marmo, E C George Sudarshan, Francesco Zaccaria |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207033 |
| URL | https://arxiv.org/abs/quant-ph/0207033 |
| DOI | 10.1088/0305-4470/35/33/311 |
Abstract
An addition rule of impure density operators, which provides a pure state density operator, is formulated. Quantum interference including visibility property is discussed in the context of the density operator formalism. A measure of entanglement is then introduced as the norm of the matrix equal to the difference between a bipartite density matrix and the tensor product of partial traces. Entanglement for arbitrary quantum observables for multipartite systems is discussed. Star-product kernels are used to map the formulation of the addition rule of density operators onto the addition rule of symbols of the operators. Entanglement and nonlocalization of the pure state projector and allied operators are discussed. Tomographic and Weyl symbols (tomograms and Wigner functions) are considered as examples. The squeezed-states and some spin-states (two qubits) are studied to illustrate the formalism.
{
"annotation_id": "0599b95f-58cb-489a-9755-228b28bb891d",
"date_created": "2026-03-02T18:01:52.680000Z",
"date_modified": "2026-03-02T18:01:52.680000Z",
"file_hash": "7e64ccad69af11d5d45596a173169cd0d3f6225d4698247a83699b9a41d6d498",
"private": false,
"record": {
"abstract": "An addition rule of impure density operators, which provides a pure state\ndensity operator, is formulated. Quantum interference including visibility\nproperty is discussed in the context of the density operator formalism. A\nmeasure of entanglement is then introduced as the norm of the matrix equal to\nthe difference between a bipartite density matrix and the tensor product of\npartial traces. Entanglement for arbitrary quantum observables for multipartite\nsystems is discussed. Star-product kernels are used to map the formulation of\nthe addition rule of density operators onto the addition rule of symbols of the\noperators. Entanglement and nonlocalization of the pure state projector and\nallied operators are discussed. Tomographic and Weyl symbols (tomograms and\nWigner functions) are considered as examples. The squeezed-states and some\nspin-states (two qubits) are studied to illustrate the formalism.",
"arxiv_id": "quant-ph/0207033",
"authors": [
"Vladimir I Man\u0027ko",
"Giuseppe Marmo",
"E C George Sudarshan",
"Francesco Zaccaria"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/33/311",
"title": "Interference and entanglement: an intrinsic approach",
"url": "https://arxiv.org/abs/quant-ph/0207033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "315bc352-8982-420b-9f23-fe2b804c7406",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}