dorsal/arxiv
View SchemaFidelity of quantum operations
| Authors | Line Hjortshoj Pedersen, Klaus Molmer, Niels Martin Moller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701138 |
| URL | https://arxiv.org/abs/quant-ph/0701138 |
| DOI | 10.1016/j.physleta.2007.02.069 |
| Journal | Phys. Lett. A 367 (2007), no. 1-2, 47--51. |
Abstract
We present a derivation and numerous applications of a compact explicit formula for the average fidelity of a quantum operation on a finite dimensional quantum system. The formula can be applied to averages over particularly relevant subspaces; it is easily generalized to multi-component systems, and as a special result, we show that when the same completely positive trace-preserving map is applied to a large number of qubits with one-bit fidelity F close to unity, the average fidelity of the operation on the full K-bit register scales as $F^{3K/2}$.
{
"annotation_id": "bf2fe73c-e25c-4f35-ad55-1529f86f5ed4",
"date_created": "2026-03-02T18:02:34.529000Z",
"date_modified": "2026-03-02T18:02:34.529000Z",
"file_hash": "43ab47328afd655cf467053db45a5c686e0ac5fb6daf6628dd6f4b797d27bdf8",
"private": false,
"record": {
"abstract": "We present a derivation and numerous applications of a compact explicit\nformula for the average fidelity of a quantum operation on a finite dimensional\nquantum system. The formula can be applied to averages over particularly\nrelevant subspaces; it is easily generalized to multi-component systems, and as\na special result, we show that when the same completely positive\ntrace-preserving map is applied to a large number of qubits with one-bit\nfidelity F close to unity, the average fidelity of the operation on the full\nK-bit register scales as $F^{3K/2}$.",
"arxiv_id": "quant-ph/0701138",
"authors": [
"Line Hjortshoj Pedersen",
"Klaus Molmer",
"Niels Martin Moller"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2007.02.069",
"journal_ref": "Phys. Lett. A 367 (2007), no. 1-2, 47--51.",
"title": "Fidelity of quantum operations",
"url": "https://arxiv.org/abs/quant-ph/0701138"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "82eef230-8a56-45f8-8329-efc3cb46eae3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}