dorsal/arxiv
View SchemaEntanglement as Internal Constraint
| Authors | Diederik Aerts, Ellie D'Hondt, Bart D'Hooghe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210035 |
| URL | https://arxiv.org/abs/quant-ph/0210035 |
Abstract
Our investigation aims to study the specific role played by entanglement in the quantum computation process, by elaborating an entangled spin model developed within the 'hidden measurement approach' to quantum mechanics. We show that an arbitrary tensor product state for the entity consisting of two entangled qubits can be described in a complete way by a specific internal constraint between the ray and density states of the two qubits. For the individual qubits we use a sphere model representation, which is a generalization of the Bloch or Pauli representation, where also the collapse and noncollapse measurements are represented. We identify a parameter r in [0,1], arising from the Schmidt diagonal decomposition, that is a measure of the amount of entanglement, such that for r = 0 the system is in the singlet state with 'maximal' entanglement, and for r = 1 the system is in a pure product state.
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"date_created": "2026-03-02T18:01:53.167000Z",
"date_modified": "2026-03-02T18:01:53.167000Z",
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"abstract": "Our investigation aims to study the specific role played by entanglement in\nthe quantum computation process, by elaborating an entangled spin model\ndeveloped within the \u0027hidden measurement approach\u0027 to quantum mechanics. We\nshow that an arbitrary tensor product state for the entity consisting of two\nentangled qubits can be described in a complete way by a specific internal\nconstraint between the ray and density states of the two qubits. For the\nindividual qubits we use a sphere model representation, which is a\ngeneralization of the Bloch or Pauli representation, where also the collapse\nand noncollapse measurements are represented. We identify a parameter r in\n[0,1], arising from the Schmidt diagonal decomposition, that is a measure of\nthe amount of entanglement, such that for r = 0 the system is in the singlet\nstate with \u0027maximal\u0027 entanglement, and for r = 1 the system is in a pure\nproduct state.",
"arxiv_id": "quant-ph/0210035",
"authors": [
"Diederik Aerts",
"Ellie D\u0027Hondt",
"Bart D\u0027Hooghe"
],
"categories": [
"quant-ph"
],
"title": "Entanglement as Internal Constraint",
"url": "https://arxiv.org/abs/quant-ph/0210035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "46dd7043-f76d-461e-a1db-0413f70c295d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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