dorsal/arxiv
View SchemaNon-adiabatic conditional geometric phase shift with NMR
| Authors | Wang Xiang-Bin, Matsumoto Keiji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101038 |
| URL | https://arxiv.org/abs/quant-ph/0101038 |
| DOI | 10.1103/PhysRevLett.87.097901 |
| Journal | Phys Rev. Lett. 87, 097901(2001) and (E)Phys. Rev. Lett. 88, 179901(2002) |
Abstract
Conditional geometric phase shift gate, which is fault tolerate to certain errors due to its geometric property, is made by NMR technique recently under adiabatic condition. By the adiabatic requirement, the result is inexact unless the Hamiltonian changes extremely slowly in the process. However, in quantum computation, everything has to be completed within the decoherence time. High running speed of every gate in quantum computation is demanded because the power of quantum computer can be exponentially proportional to the maximum number of logic gate operation that can be taken sequentially within the decoherence time. Adiabatic condition makes any fast conditional Berry phase(cyclic adiabatic geometric phase) shift gate impossible. Here we show that by using a new designed sequence of simple operations with an additional vertical magnetic field, the conditional geometric phase shift can be done non-adiabatically. Therefore geometric quantum computation can be done in the same speed level of usual quantum computation.
{
"annotation_id": "f07b662d-18fa-49e3-b32d-ea0f50f31caa",
"date_created": "2026-03-02T18:01:42.013000Z",
"date_modified": "2026-03-02T18:01:42.013000Z",
"file_hash": "6ad38565b6c57fc26e0608ca78872d188b70acc5473149adf089853ecaa15b1f",
"private": false,
"record": {
"abstract": "Conditional geometric phase shift gate, which is fault tolerate to certain\nerrors due to its geometric property, is made by NMR technique recently under\nadiabatic condition. By the adiabatic requirement, the result is inexact unless\nthe Hamiltonian changes extremely slowly in the process. However, in quantum\ncomputation, everything has to be completed within the decoherence time. High\nrunning speed of every gate in quantum computation is demanded because the\npower of quantum computer can be exponentially proportional to the maximum\nnumber of logic gate operation that can be taken sequentially within the\ndecoherence time. Adiabatic condition makes any fast conditional Berry\nphase(cyclic adiabatic geometric phase) shift gate impossible. Here we show\nthat by using a new designed sequence of simple operations with an additional\nvertical magnetic field, the conditional geometric phase shift can be done\nnon-adiabatically. Therefore geometric quantum computation can be done in the\nsame speed level of usual quantum computation.",
"arxiv_id": "quant-ph/0101038",
"authors": [
"Wang Xiang-Bin",
"Matsumoto Keiji"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.87.097901",
"journal_ref": "Phys Rev. Lett. 87, 097901(2001) and (E)Phys. Rev. Lett. 88,\n 179901(2002)",
"title": "Non-adiabatic conditional geometric phase shift with NMR",
"url": "https://arxiv.org/abs/quant-ph/0101038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "fb38b986-d012-42f5-94a7-6b5bf472d550",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}