dorsal/arxiv
View SchemaInvariants of multiple-qubit systems under stochastic local operations
| Authors | Gregg Jaeger, Mihail Teodorescu-Frumosu, Alexander Sergienko, Bahaa E. A. Saleh, Malvin C. Teich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301174 |
| URL | https://arxiv.org/abs/quant-ph/0301174 |
| Journal | Foundations of Probability and Physics-2, Series on Mathematical Modelling in Physics, Engineering and Cognitive Science, vol. 5, edited by A. Khrennikov (V\"axj\"o University Press, V\"axj\"o, Sweden, 2003), pp. 273-284 |
Abstract
We investigate the behavior of quantum states under stochastic local quantum operations and classical communication (SLOCC) for fixed numbers of qubits. We explicitly exhibit the homomorphism between complex and real groups for two-qubits, and use the latter to describe the effect of SLOCC operations on two-qubit states. We find an expression for the polarization Lorentz group invariant length, which is the Minkowskian analog of the quantum state purity, the corresponding Euclidean length. The construction presented is immediately generalizable to any finite number of qubits.
{
"annotation_id": "20a19770-ffa6-4c34-b81f-d7a539488f1e",
"date_created": "2026-03-02T18:01:56.560000Z",
"date_modified": "2026-03-02T18:01:56.560000Z",
"file_hash": "3508b28d4c1c6739d5947be0c494ea2a08f357bb15f7bd0e9616b7cae3819ed9",
"private": false,
"record": {
"abstract": "We investigate the behavior of quantum states under stochastic local quantum\noperations and classical communication (SLOCC) for fixed numbers of qubits. We\nexplicitly exhibit the homomorphism between complex and real groups for\ntwo-qubits, and use the latter to describe the effect of SLOCC operations on\ntwo-qubit states. We find an expression for the polarization Lorentz group\ninvariant length, which is the Minkowskian analog of the quantum state purity,\nthe corresponding Euclidean length. The construction presented is immediately\ngeneralizable to any finite number of qubits.",
"arxiv_id": "quant-ph/0301174",
"authors": [
"Gregg Jaeger",
"Mihail Teodorescu-Frumosu",
"Alexander Sergienko",
"Bahaa E. A. Saleh",
"Malvin C. Teich"
],
"categories": [
"quant-ph"
],
"journal_ref": "Foundations of Probability and Physics-2, Series on Mathematical\n Modelling in Physics, Engineering and Cognitive Science, vol. 5, edited by A.\n Khrennikov (V\\\"axj\\\"o University Press, V\\\"axj\\\"o, Sweden, 2003), pp. 273-284",
"title": "Invariants of multiple-qubit systems under stochastic local operations",
"url": "https://arxiv.org/abs/quant-ph/0301174"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8a3e18ca-8e61-43c8-9565-e863d8b55efd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}