dorsal/arxiv
View SchemaQuantum computation of the Anderson transition in presence of imperfections
| Authors | Andrei A. Pomeransky, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306203 |
| URL | https://arxiv.org/abs/quant-ph/0306203 |
| DOI | 10.1103/PhysRevA.69.014302 |
| Journal | Phys. Rev. A 69, 014302 (2004) |
Abstract
We propose a quantum algorithm for simulation of the Anderson transition in disordered lattices and study numerically its sensitivity to static imperfections in a quantum computer. In the vicinity of the critical point the algorithm gives a quadratic speedup in computation of diffusion rate and localization length, comparing to the known classical algorithms. We show that the Anderson transition can be detected on quantum computers with $7 - 10$ qubits.
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"abstract": "We propose a quantum algorithm for simulation of the Anderson transition in\ndisordered lattices and study numerically its sensitivity to static\nimperfections in a quantum computer. In the vicinity of the critical point the\nalgorithm gives a quadratic speedup in computation of diffusion rate and\nlocalization length, comparing to the known classical algorithms. We show that\nthe Anderson transition can be detected on quantum computers with $7 - 10$\nqubits.",
"arxiv_id": "quant-ph/0306203",
"authors": [
"Andrei A. Pomeransky",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.69.014302",
"journal_ref": "Phys. Rev. A 69, 014302 (2004)",
"title": "Quantum computation of the Anderson transition in presence of imperfections",
"url": "https://arxiv.org/abs/quant-ph/0306203"
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