dorsal/arxiv
View SchemaQuantum Computers, Discrete Space, and Entanglement
| Authors | Mladen Pavicic |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207003 |
| URL | https://arxiv.org/abs/quant-ph/0207003 |
Abstract
We consider algebras underlying Hilbert spaces used by quantum information algorithms. We show how one can arrive at equations on such algebras which define n-dimensional Hilbert space subspaces which in turn can simulate quantum systems on a quantum system. In doing so we use MMP diagrams and linear algorithms. MMP diagrams are tractable since an n-block of an MMP diagram has n elements while an n-block of a standard lattice diagram has 2^n elements. An immediate test for such an approach is a generation of minimal and arbitrary Kochen-Specker vectors and we present a minimal state-independent Kochen-Specker set of seven vectors from a Hilbert space with more than four dimensions.
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"abstract": "We consider algebras underlying Hilbert spaces used by quantum information\nalgorithms. We show how one can arrive at equations on such algebras which\ndefine n-dimensional Hilbert space subspaces which in turn can simulate quantum\nsystems on a quantum system. In doing so we use MMP diagrams and linear\nalgorithms. MMP diagrams are tractable since an n-block of an MMP diagram has n\nelements while an n-block of a standard lattice diagram has 2^n elements. An\nimmediate test for such an approach is a generation of minimal and arbitrary\nKochen-Specker vectors and we present a minimal state-independent\nKochen-Specker set of seven vectors from a Hilbert space with more than four\ndimensions.",
"arxiv_id": "quant-ph/0207003",
"authors": [
"Mladen Pavicic"
],
"categories": [
"quant-ph"
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"title": "Quantum Computers, Discrete Space, and Entanglement",
"url": "https://arxiv.org/abs/quant-ph/0207003"
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