dorsal/arxiv
View SchemaQuantum Correlations in Two-Fermion Systems
| Authors | John Schliemann, J. Ignacio Cirac, Marek Kus, Maciej Lewenstein, Daniel Loss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012094 |
| URL | https://arxiv.org/abs/quant-ph/0012094 |
| DOI | 10.1103/PhysRevA.64.022303 |
| Journal | Phys. Rev. A, 64, 022303 (2001) |
Abstract
We characterize and classify quantum correlations in two-fermion systems having 2K single-particle states. For pure states we introduce the Slater decomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we decompose the state into a combination of elementary Slater determinants formed by mutually orthogonal single-particle states. Mixed states can be characterized by their Slater number which is the minimal Slater rank required to generate them. For K=2 we give a necessary and sufficient condition for a state to have a Slater number of 1. We introduce a correlation measure for mixed states which can be evaluated analytically for K=2. For higher K, we provide a method of constructing and optimizing Slater number witnesses, i.e. operators that detect Slater number for some states.
{
"annotation_id": "0611f13f-fdfd-495d-8184-2ff196470b87",
"date_created": "2026-03-02T18:01:42.247000Z",
"date_modified": "2026-03-02T18:01:42.247000Z",
"file_hash": "1f69a3c29429d7b9ee5ea89a8aa981922aef400f87d07bbe5e9dd31b7a186c5a",
"private": false,
"record": {
"abstract": "We characterize and classify quantum correlations in two-fermion systems\nhaving 2K single-particle states. For pure states we introduce the Slater\ndecomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we\ndecompose the state into a combination of elementary Slater determinants formed\nby mutually orthogonal single-particle states. Mixed states can be\ncharacterized by their Slater number which is the minimal Slater rank required\nto generate them. For K=2 we give a necessary and sufficient condition for a\nstate to have a Slater number of 1. We introduce a correlation measure for\nmixed states which can be evaluated analytically for K=2. For higher K, we\nprovide a method of constructing and optimizing Slater number witnesses, i.e.\noperators that detect Slater number for some states.",
"arxiv_id": "quant-ph/0012094",
"authors": [
"John Schliemann",
"J. Ignacio Cirac",
"Marek Kus",
"Maciej Lewenstein",
"Daniel Loss"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevA.64.022303",
"journal_ref": "Phys. Rev. A, 64, 022303 (2001)",
"title": "Quantum Correlations in Two-Fermion Systems",
"url": "https://arxiv.org/abs/quant-ph/0012094"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "442cf102-4c4f-4554-94ac-951e82dbad85",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}