Quantum Computers, Discrete Space, and Entanglement

Details Quantum Computers, Discrete Space, and Entanglement Quantum Computers, Discrete Space, and Entanglement

2002-06-30

arxiv.org/abs/quant-ph/0207003v1

Physics

Quantum Physics

6 pages, RevTeX, Author's http://m3k.grad.hr/pavicic

Scientific paper

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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