dorsal/arxiv
View SchemaModeling an adiabatic quantum computer
| Authors | A. M. Zagoskin, S. Savel'ev, Franco Nori |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701161 |
| URL | https://arxiv.org/abs/quant-ph/0701161 |
| Journal | Phys. Rev. Lett. 98, 120503 (2007) |
Abstract
We map adiabatic quantum evolution on the classical Hamiltonian dynamics of a 1D gas (Pechukas gas) and simulate the latter numerically. This approach turns out to be both insightful and numerically efficient, as seen from our example of a CNOT gate simulation. For a general class of Hamiltonians we show that the escape probability from the initial state scales no faster than |\dot{\lambda}|^{\gamma}, where |\dot{\lambda}| is the adiabaticity parameter. The scaling exponent for the escape probability is \gamma = 1/2 for all levels, except the edge (bottom and top) ones, where \gamma <~1/3. In principle, our method can solve arbitrarily large adiabatic quantum Hamiltonians.
{
"annotation_id": "062a9d01-804a-4863-8456-0c44a1d36043",
"date_created": "2026-03-02T18:02:34.650000Z",
"date_modified": "2026-03-02T18:02:34.650000Z",
"file_hash": "cccd4472d8b1f527efda5e40733c71cc5adef1826c04ab80cc83bfc2a201801f",
"private": false,
"record": {
"abstract": "We map adiabatic quantum evolution on the classical Hamiltonian dynamics of a\n1D gas (Pechukas gas) and simulate the latter numerically. This approach turns\nout to be both insightful and numerically efficient, as seen from our example\nof a CNOT gate simulation. For a general class of Hamiltonians we show that the\nescape probability from the initial state scales no faster than\n|\\dot{\\lambda}|^{\\gamma}, where |\\dot{\\lambda}| is the adiabaticity parameter.\nThe scaling exponent for the escape probability is \\gamma = 1/2 for all levels,\nexcept the edge (bottom and top) ones, where \\gamma \u003c~1/3. In principle, our\nmethod can solve arbitrarily large adiabatic quantum Hamiltonians.",
"arxiv_id": "quant-ph/0701161",
"authors": [
"A. M. Zagoskin",
"S. Savel\u0027ev",
"Franco Nori"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"journal_ref": "Phys. Rev. Lett. 98, 120503 (2007)",
"title": "Modeling an adiabatic quantum computer",
"url": "https://arxiv.org/abs/quant-ph/0701161"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c8c659aa-91be-4dc6-8dc7-9e34a5da2fa8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}