dorsal/arxiv
View SchemaRealistic fast quantum gates with hot trapped ions
| Authors | Marek Sasura, Andrew M. Steane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212005 |
| URL | https://arxiv.org/abs/quant-ph/0212005 |
| DOI | 10.1103/PhysRevA.67.062318 |
| Journal | Phys. Rev. A67, 062318 (2003) |
Abstract
The "pushing gate" proposed by Cirac and Zoller in 2000 for quantum logic in ion traps is discussed, in which a force is used to give a controlled push to a pair of trapped ions and thus realize a phase gate. The original proposal had a weakness in that it involved a hidden extreme sensitivity to the size of the force. Also, the physical origin of this force was not fully addressed. Here, we discuss the sensitivity and present a way to avoid it by choosing the spatial form of the pushing force in an optimal way. We also analyse the effect of imperfections in a pair of pi pulses which are used to implement a "spin-echo" to cancel correlated errors. We present a physical model for the force, namely the dipole force, and discuss the impact of unwanted photon scattering, and of finite temperature of the ions. The main effect of the temperature is to blur the phase of the gate owing to the ions exploring a range of values of the force. When the distance scale of the force profile is smaller than the ion separation, this effect is more important than the high-order terms in the Coulomb repulsion which were originally discussed. Overall, we find that whereas the "pushing gate" is not as resistant to imperfections as was supposed, it remains a significant candidate for ion trap quantum computing since it does not require ground state cooling, and in some cases it does not require the Lamb-Dicke limit, while the gate rate is fast, close to (rather than small compared to) the trap vibrational frequency.
{
"annotation_id": "63f0d7f9-7dc2-4c8e-b5a2-c352d5ac5bba",
"date_created": "2026-03-02T18:01:55.798000Z",
"date_modified": "2026-03-02T18:01:55.798000Z",
"file_hash": "211b99d5eaf619e7df653d760ffdd8973729911e5737a6b332c6e7aad5e26c48",
"private": false,
"record": {
"abstract": "The \"pushing gate\" proposed by Cirac and Zoller in 2000 for quantum logic in\nion traps is discussed, in which a force is used to give a controlled push to a\npair of trapped ions and thus realize a phase gate. The original proposal had a\nweakness in that it involved a hidden extreme sensitivity to the size of the\nforce. Also, the physical origin of this force was not fully addressed. Here,\nwe discuss the sensitivity and present a way to avoid it by choosing the\nspatial form of the pushing force in an optimal way. We also analyse the effect\nof imperfections in a pair of pi pulses which are used to implement a\n\"spin-echo\" to cancel correlated errors. We present a physical model for the\nforce, namely the dipole force, and discuss the impact of unwanted photon\nscattering, and of finite temperature of the ions. The main effect of the\ntemperature is to blur the phase of the gate owing to the ions exploring a\nrange of values of the force. When the distance scale of the force profile is\nsmaller than the ion separation, this effect is more important than the\nhigh-order terms in the Coulomb repulsion which were originally discussed.\nOverall, we find that whereas the \"pushing gate\" is not as resistant to\nimperfections as was supposed, it remains a significant candidate for ion trap\nquantum computing since it does not require ground state cooling, and in some\ncases it does not require the Lamb-Dicke limit, while the gate rate is fast,\nclose to (rather than small compared to) the trap vibrational frequency.",
"arxiv_id": "quant-ph/0212005",
"authors": [
"Marek Sasura",
"Andrew M. Steane"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.062318",
"journal_ref": "Phys. Rev. A67, 062318 (2003)",
"title": "Realistic fast quantum gates with hot trapped ions",
"url": "https://arxiv.org/abs/quant-ph/0212005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "755e64d9-e233-4f99-9f45-3fe818febfdf",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}