dorsal/arxiv
View SchemaDissipation and Decoherence in a Quantum Register
| Authors | Paolo Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705045 |
| URL | https://arxiv.org/abs/quant-ph/9705045 |
| DOI | 10.1103/PhysRevA.57.3276 |
| Journal | Phys.Rev.A57:3276,1998 |
Abstract
A model for a quantum register $\cal R$ made of $N$ replicas of a $d$-dimensional quantum system (cell) coupled with the environment, is studied by means of a Born-Markov Master Equation (ME). Dissipation and decoherence are discussed in various cases in which a sub-decoherent enconding can be rigorously found. For the qubit case ($d=2$) we have solved, for small $N,$ the ME by numerical direct integration and studied, as a function of the coherence length $\xi_c$ of the bath, fidelity and decoherence rates of states of the register. For large enough $\xi_c$ the singlet states of the global $su(2)$ pseudo-spin algebra of the register (noiseless at $\xi_c=\infty$) are shown to have a much smaller decoherence rates than the rest of the Hilbert space.
{
"annotation_id": "470b8f0c-29c7-4323-b281-a92b5e3f18fb",
"date_created": "2026-03-02T18:02:41.170000Z",
"date_modified": "2026-03-02T18:02:41.170000Z",
"file_hash": "854f4bbd6213e2e0e3cf26b2fbc6a256401c5cd34fd022a3aa2963d39f4df04a",
"private": false,
"record": {
"abstract": "A model for a quantum register $\\cal R$ made of $N$ replicas of a\n$d$-dimensional quantum system (cell) coupled with the environment, is studied\nby means of a Born-Markov Master Equation (ME). Dissipation and decoherence are\ndiscussed in various cases in which a sub-decoherent enconding can be\nrigorously found. For the qubit case ($d=2$) we have solved, for small $N,$ the\nME by numerical direct integration and studied, as a function of the coherence\nlength $\\xi_c$ of the bath, fidelity and decoherence rates of states of the\nregister. For large enough $\\xi_c$ the singlet states of the global $su(2)$\npseudo-spin algebra of the register (noiseless at $\\xi_c=\\infty$) are shown to\nhave a much smaller decoherence rates than the rest of the Hilbert space.",
"arxiv_id": "quant-ph/9705045",
"authors": [
"Paolo Zanardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.57.3276",
"journal_ref": "Phys.Rev.A57:3276,1998",
"title": "Dissipation and Decoherence in a Quantum Register",
"url": "https://arxiv.org/abs/quant-ph/9705045"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0f1955c2-ebd2-4709-b000-af8af286b436",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}