dorsal/arxiv
View SchemaDecoherence Rates in Large Scale Quantum Computers and Macroscopic Systems
| Authors | B J Dalton |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412142 |
| URL | https://arxiv.org/abs/quant-ph/0412142 |
| DOI | 10.1080/09500340500227695 |
| Journal | J. Mod. Opt. 52, 2563 (2005) |
Abstract
Markovian regime decoherence effects in quantum computers are studied in terms of the fidelity for the situation where the number of qubits N becomes large. A general expression giving the decoherence time scale in terms of Markovian relaxation elements and expectation values of products of system fluctuation operators is obtained, which could also be applied to study decoherence in other macroscopic systems such as Bose condensates and superconductors. A standard circuit model quantum computer involving three-state lambda system ionic qubits is considered, with qubits localised around well-separated positions via trapping potentials. The centre of mass vibrations of the qubits act as a reservoir. Coherent one and two qubit gating processes are controlled by time dependent localised classical electromagnetic fields that address specific qubits, the two qubit gating processes being facilitated by a cavity mode ancilla, which permits state interchange between qubits. With a suitable choice of parameters, it is found that the decoherence time can be made essentially independent of N.
{
"annotation_id": "5bc3a535-2b0c-4646-bb3b-1ca271340c76",
"date_created": "2026-03-02T18:02:12.977000Z",
"date_modified": "2026-03-02T18:02:12.977000Z",
"file_hash": "cb702e0df9f076dceedbe7ae740111badfea1eac1faea101ebf0113e0d9ee6e7",
"private": false,
"record": {
"abstract": "Markovian regime decoherence effects in quantum computers are studied in\nterms of the fidelity for the situation where the number of qubits N becomes\nlarge. A general expression giving the decoherence time scale in terms of\nMarkovian relaxation elements and expectation values of products of system\nfluctuation operators is obtained, which could also be applied to study\ndecoherence in other macroscopic systems such as Bose condensates and\nsuperconductors. A standard circuit model quantum computer involving\nthree-state lambda system ionic qubits is considered, with qubits localised\naround well-separated positions via trapping potentials. The centre of mass\nvibrations of the qubits act as a reservoir. Coherent one and two qubit gating\nprocesses are controlled by time dependent localised classical electromagnetic\nfields that address specific qubits, the two qubit gating processes being\nfacilitated by a cavity mode ancilla, which permits state interchange between\nqubits. With a suitable choice of parameters, it is found that the decoherence\ntime can be made essentially independent of N.",
"arxiv_id": "quant-ph/0412142",
"authors": [
"B J Dalton"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340500227695",
"journal_ref": "J. Mod. Opt. 52, 2563 (2005)",
"title": "Decoherence Rates in Large Scale Quantum Computers and Macroscopic Systems",
"url": "https://arxiv.org/abs/quant-ph/0412142"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3473c54d-3af0-4b2e-abc7-29b59829c9ee",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}