dorsal/arxiv
View SchemaDecoherence of an $n$-qubit quantum memory
| Authors | Thomas Gorin, Carlos Pineda, Thomas H. Seligman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703190 |
| URL | https://arxiv.org/abs/quant-ph/0703190 |
| DOI | 10.1103/PhysRevLett.99.240405 |
| Journal | Phys. Rev. Lett. 99, 240405 (2007) |
Abstract
We analyze decoherence of a quantum register in the absence of non-local operations i.e. of $n$ non-interacting qubits coupled to an environment. The problem is solved in terms of a sum rule which implies linear scaling in the number of qubits. Each term involves a single qubit and its entanglement with the remaining ones. Two conditions are essential: first decoherence must be small and second the coupling of different qubits must be uncorrelated in the interaction picture. We apply the result to a random matrix model, and illustrate its reach considering a GHZ state coupled to a spin bath.
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"abstract": "We analyze decoherence of a quantum register in the absence of non-local\noperations i.e. of $n$ non-interacting qubits coupled to an environment. The\nproblem is solved in terms of a sum rule which implies linear scaling in the\nnumber of qubits. Each term involves a single qubit and its entanglement with\nthe remaining ones. Two conditions are essential: first decoherence must be\nsmall and second the coupling of different qubits must be uncorrelated in the\ninteraction picture. We apply the result to a random matrix model, and\nillustrate its reach considering a GHZ state coupled to a spin bath.",
"arxiv_id": "quant-ph/0703190",
"authors": [
"Thomas Gorin",
"Carlos Pineda",
"Thomas H. Seligman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.99.240405",
"journal_ref": "Phys. Rev. Lett. 99, 240405 (2007)",
"title": "Decoherence of an $n$-qubit quantum memory",
"url": "https://arxiv.org/abs/quant-ph/0703190"
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