dorsal/arxiv
View SchemaInfluence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction
| Authors | D. I. Kamenev, G. P. Berman, V. I. Tsifrinovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609104 |
| URL | https://arxiv.org/abs/quant-ph/0609104 |
| DOI | 10.1103/PhysRevA.74.042337 |
Abstract
The errors caused by qubit displacements from their prescribed locations in an ensemble of spin chains are estimated analytically and calculated numerically for a quantum computer based on phosphorus donors in silicon. We show that it is possible to polarize (initialize) the nuclear spins even with displaced qubits by using Controlled NOT gates between the electron and nuclear spins of the same phosphorus atom. However, a Controlled NOT gate between the displaced electron spins is implemented with large error because of the exponential dependence of exchange interaction constant on the distance between the qubits. If quantum computation is implemented on an ensemble of many spin chains, the errors can be small if the number of chains with displaced qubits is small.
{
"annotation_id": "4caef8b4-672d-4751-b3e5-9e59ad56c104",
"date_created": "2026-03-02T18:02:30.144000Z",
"date_modified": "2026-03-02T18:02:30.144000Z",
"file_hash": "87e4da3d7d490cb005abb1e7d3c90124e94051bcb3ad1ec78d1e35a345647ddb",
"private": false,
"record": {
"abstract": "The errors caused by qubit displacements from their prescribed locations in\nan ensemble of spin chains are estimated analytically and calculated\nnumerically for a quantum computer based on phosphorus donors in silicon. We\nshow that it is possible to polarize (initialize) the nuclear spins even with\ndisplaced qubits by using Controlled NOT gates between the electron and nuclear\nspins of the same phosphorus atom. However, a Controlled NOT gate between the\ndisplaced electron spins is implemented with large error because of the\nexponential dependence of exchange interaction constant on the distance between\nthe qubits. If quantum computation is implemented on an ensemble of many spin\nchains, the errors can be small if the number of chains with displaced qubits\nis small.",
"arxiv_id": "quant-ph/0609104",
"authors": [
"D. I. Kamenev",
"G. P. Berman",
"V. I. Tsifrinovich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.042337",
"title": "Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction",
"url": "https://arxiv.org/abs/quant-ph/0609104"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "32d9e4dc-6a36-4679-9849-ba42a10784d1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}