dorsal/arxiv
View SchemaInteraction cost of non-local gates
| Authors | G. Vidal, K. Hammerer, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112168 |
| URL | https://arxiv.org/abs/quant-ph/0112168 |
| DOI | 10.1103/PhysRevLett.88.237902 |
| Journal | Phys. Rev. Lett. 88 (2002) 237902 |
Abstract
We introduce the interaction cost of a non-local gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows to compare in an operationally meaningful manner any two non-local gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be more time-consuming than another for any possible interaction. This defines a partial order structure in the set of non-local gates, that compares their degree of non-locality. We analytically characterize this partial order in a region of the set of two-qubit gates.
{
"annotation_id": "56da41ed-b372-46cc-b0b1-eebc2484e055",
"date_created": "2026-03-02T18:01:49.454000Z",
"date_modified": "2026-03-02T18:01:49.454000Z",
"file_hash": "115b7356375a8372210186a7e78c9950e8eeb0fd53821011c584986593963dd7",
"private": false,
"record": {
"abstract": "We introduce the interaction cost of a non-local gate as the minimal time of\ninteraction required to perform the gate when assisting the process with fast\nlocal unitaries. This cost, of interest both in the areas of quantum control\nand quantum information, depends on the specific interaction, and allows to\ncompare in an operationally meaningful manner any two non-local gates. In the\ncase of a two-qubit system, an analytical expression for the interaction cost\nof any unitary operation given any coupling Hamiltonian is obtained. One gate\nmay be more time-consuming than another for any possible interaction. This\ndefines a partial order structure in the set of non-local gates, that compares\ntheir degree of non-locality. We analytically characterize this partial order\nin a region of the set of two-qubit gates.",
"arxiv_id": "quant-ph/0112168",
"authors": [
"G. Vidal",
"K. Hammerer",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.88.237902",
"journal_ref": "Phys. Rev. Lett. 88 (2002) 237902",
"title": "Interaction cost of non-local gates",
"url": "https://arxiv.org/abs/quant-ph/0112168"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "28d5ea78-448d-43fb-bbce-7ae5971a730b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}