dorsal/arxiv
View SchemaA classification of classical representations for quantum-like systems
| Authors | Bob Coecke |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008062 |
| URL | https://arxiv.org/abs/quant-ph/0008062 |
| Journal | Helvetica Physica Acta 70, 462-477 (1997) |
Abstract
For general non-classical systems, we study the different classical representations that fulfill the specific context dependence imposed by the hidden measurement system formalism introduced in quant-ph/0008061. We show that the collection of non-equivalent representations has a poset structure. We also show that in general, there exists no 'smallest' representation, since this poset is not a semi-lattice. Then we study the possible representations of quantum-like measurement systems. For example, we show that there exists a classical representation of finite dimensional quantum mechanics with ${\Bbb N}$ as a set of states for the measurement context, and we build an explicit example of such a representation.
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"abstract": "For general non-classical systems, we study the different classical\nrepresentations that fulfill the specific context dependence imposed by the\nhidden measurement system formalism introduced in quant-ph/0008061. We show\nthat the collection of non-equivalent representations has a poset structure. We\nalso show that in general, there exists no \u0027smallest\u0027 representation, since\nthis poset is not a semi-lattice. Then we study the possible representations of\nquantum-like measurement systems. For example, we show that there exists a\nclassical representation of finite dimensional quantum mechanics with ${\\Bbb\nN}$ as a set of states for the measurement context, and we build an explicit\nexample of such a representation.",
"arxiv_id": "quant-ph/0008062",
"authors": [
"Bob Coecke"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Helvetica Physica Acta 70, 462-477 (1997)",
"title": "A classification of classical representations for quantum-like systems",
"url": "https://arxiv.org/abs/quant-ph/0008062"
},
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