dorsal/arxiv
View SchemaDissipative dynamics in a quantum register
| Authors | P. Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708042 |
| URL | https://arxiv.org/abs/quant-ph/9708042 |
| DOI | 10.1103/PhysRevA.56.4445 |
| Journal | Phys.Rev.A56:4445,1997 |
Abstract
A model for a quantum register dissipatively coupled with a bosonic thermal bath is studied. The register consists of $N$ qubits (i.e. spin ${1/2}$ degrees of freedom), the bath is described by $N_b$ bosonic modes. The register-bath coupling is chosen in such a way that the total number of excitations is conserved. The Hilbert space splits allowing the study of the dynamics separately in each sector. Assuming that the coupling with the bath is the same for all qubits, the excitation sectors have a further decomposition according the irreducible representations of the $su(2)$ spin algebra. The stability against environment-generated noise of the information encoded in a quantum state of the register depends on its $su(2)$ symmetry content. At zero temperature we find that states belonging to the vacuum symmetry sector have for long time vanishing fidelity, whereas each lowest spin vector is decoupled from the bath and therefore is decoherence free. Numerical results are shown in the one-excitation space in the case qubit-dependent bath-system coupling.
{
"annotation_id": "f7ff26a0-6959-4ad5-94b2-a63e4c70f78f",
"date_created": "2026-03-02T18:02:41.701000Z",
"date_modified": "2026-03-02T18:02:41.701000Z",
"file_hash": "87a5292974147dea24fac09e76325b0d7eea4723cbe0f077d4150f8e02dc09c0",
"private": false,
"record": {
"abstract": "A model for a quantum register dissipatively coupled with a bosonic thermal\nbath is studied. The register consists of $N$ qubits (i.e. spin ${1/2}$ degrees\nof freedom), the bath is described by $N_b$ bosonic modes. The register-bath\ncoupling is chosen in such a way that the total number of excitations is\nconserved. The Hilbert space splits allowing the study of the dynamics\nseparately in each sector. Assuming that the coupling with the bath is the same\nfor all qubits, the excitation sectors have a further decomposition according\nthe irreducible representations of the $su(2)$ spin algebra. The stability\nagainst environment-generated noise of the information encoded in a quantum\nstate of the register depends on its $su(2)$ symmetry content. At zero\ntemperature we find that states belonging to the vacuum symmetry sector have\nfor long time vanishing fidelity, whereas each lowest spin vector is decoupled\nfrom the bath and therefore is decoherence free. Numerical results are shown in\nthe one-excitation space in the case qubit-dependent bath-system coupling.",
"arxiv_id": "quant-ph/9708042",
"authors": [
"P. Zanardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.4445",
"journal_ref": "Phys.Rev.A56:4445,1997",
"title": "Dissipative dynamics in a quantum register",
"url": "https://arxiv.org/abs/quant-ph/9708042"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "db83ba62-cec0-4a1c-b8d9-84f0a7f83d70",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}