dorsal/arxiv
View SchemaOn twin observables in entangled mixed states
| Authors | F. Herbut |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106038 |
| URL | https://arxiv.org/abs/quant-ph/0106038 |
Abstract
It is pointed out that every mixed state statistical operator is, up to a normalization constant, a super state vector in the Hilbert space of linear Hilbert-Schmidt operators acting in the state space of the quantum system. Hence, the well understood Schmidt canonical expansion of ordinary state vectors can be carried over to mixed states. In particular, it can be utilized for evaluating all the twins, i. e., the opposite-subsystem observables the measurement of one of which is, on account of entanglement, ipso facto also a measurement of the other. This is illustrated in full detail in the case of the Horodecki two spin-one-half-particle states with maximally disordered subsystems.
{
"annotation_id": "05fa149d-8db2-449c-8360-f9daa717744d",
"date_created": "2026-03-02T18:01:45.529000Z",
"date_modified": "2026-03-02T18:01:45.529000Z",
"file_hash": "d70e763eebe5f752ab3d5e6fced69bfbd43e606208cd7f1c75270b267b2eed93",
"private": false,
"record": {
"abstract": "It is pointed out that every mixed state statistical operator is, up to a\nnormalization constant, a super state vector in the Hilbert space of linear\nHilbert-Schmidt operators acting in the state space of the quantum system.\nHence, the well understood Schmidt canonical expansion of ordinary state\nvectors can be carried over to mixed states. In particular, it can be utilized\nfor evaluating all the twins, i. e., the opposite-subsystem observables the\nmeasurement of one of which is, on account of entanglement, ipso facto also a\nmeasurement of the other. This is illustrated in full detail in the case of the\nHorodecki two spin-one-half-particle states with maximally disordered\nsubsystems.",
"arxiv_id": "quant-ph/0106038",
"authors": [
"F. Herbut"
],
"categories": [
"quant-ph"
],
"title": "On twin observables in entangled mixed states",
"url": "https://arxiv.org/abs/quant-ph/0106038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "908fb4b4-0e07-4684-b9c3-6119d626a3be",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}