dorsal/arxiv
View SchemaEntangling power of baker's map: Role of symmetries
| Authors | Romulo F. Abreu, Raul O. Vallejos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603261 |
| URL | https://arxiv.org/abs/quant-ph/0603261 |
| DOI | 10.1103/PhysRevA.73.052327 |
Abstract
The quantum baker map possesses two symmetries: a canonical "spatial" symmetry, and a time-reversal symmetry. We show that, even when these features are taken into account, the asymptotic entangling power of the baker's map does not always agree with the predictions of random matrix theory. We have verified that the dimension of the Hilbert space is the crucial parameter which determines whether the entangling properties of the baker are universal or not. For power-of-two dimensions, i.e., qubit systems, an anomalous entangling power is observed; otherwise the behavior of the baker is consistent with random matrix theories. We also derive a general formula that relates the asymptotic entangling power of an arbitrary unitary with properties of its reduced eigenvectors.
{
"annotation_id": "477959ff-39b3-4ea2-b05e-713fe124141c",
"date_created": "2026-03-02T18:02:26.465000Z",
"date_modified": "2026-03-02T18:02:26.465000Z",
"file_hash": "3ee9b808dc4074f9fc18630c3fb95eca70e96bb11d47811a8082a4f876bbaf81",
"private": false,
"record": {
"abstract": "The quantum baker map possesses two symmetries: a canonical \"spatial\"\nsymmetry, and a time-reversal symmetry. We show that, even when these features\nare taken into account, the asymptotic entangling power of the baker\u0027s map does\nnot always agree with the predictions of random matrix theory. We have verified\nthat the dimension of the Hilbert space is the crucial parameter which\ndetermines whether the entangling properties of the baker are universal or not.\nFor power-of-two dimensions, i.e., qubit systems, an anomalous entangling power\nis observed; otherwise the behavior of the baker is consistent with random\nmatrix theories. We also derive a general formula that relates the asymptotic\nentangling power of an arbitrary unitary with properties of its reduced\neigenvectors.",
"arxiv_id": "quant-ph/0603261",
"authors": [
"Romulo F. Abreu",
"Raul O. Vallejos"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.052327",
"title": "Entangling power of baker\u0027s map: Role of symmetries",
"url": "https://arxiv.org/abs/quant-ph/0603261"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c0535e12-3c96-484a-be9f-2efd2701bfe9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}