dorsal/arxiv
View SchemaAnalysis of 1 and 2 Particle Quantum Systems using Geometric Algebra
| Authors | Rachel Parker, Chris Doran |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106055 |
| URL | https://arxiv.org/abs/quant-ph/0106055 |
Abstract
When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this entanglement can be described using the Schmidt decomposition. This selects a preferred orthonormal basis for expressing the wavefunction and gives a measure of the degree of entanglement present in the system. The extension of this to the more general case of n subsystems is not yet known. We present a review of this process using the standard representation and apply this method to the geometric algebra representation. This latter form has the advantage of suggesting a generalisation to n subsystems.
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"abstract": "When two or more subsystems of a quantum system interact with each other they\ncan become entangled. In this case the individual subsystems can no longer be\ndescribed as pure quantum states. For systems with only 2 subsystems this\nentanglement can be described using the Schmidt decomposition. This selects a\npreferred orthonormal basis for expressing the wavefunction and gives a measure\nof the degree of entanglement present in the system. The extension of this to\nthe more general case of n subsystems is not yet known. We present a review of\nthis process using the standard representation and apply this method to the\ngeometric algebra representation. This latter form has the advantage of\nsuggesting a generalisation to n subsystems.",
"arxiv_id": "quant-ph/0106055",
"authors": [
"Rachel Parker",
"Chris Doran"
],
"categories": [
"quant-ph"
],
"title": "Analysis of 1 and 2 Particle Quantum Systems using Geometric Algebra",
"url": "https://arxiv.org/abs/quant-ph/0106055"
},
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