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arxiv: 1002.5025 · v1 · pith:O5HDTLGFnew · submitted 2010-02-26 · 🪐 quant-ph

Quantum computational logic with mixed states

classification 🪐 quant-ph
keywords logicalgebraiccomputationalquantumaxiomatizabilitycalculuscompletenessdeveloped
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Using an algebraic framework we solve a problem posed in [5] and [7] about the axiomatizability of a quantum computational type logic related to fuzzy logic. A Hilbert-style calculus is developed obtaining an algebraic strong completeness theorem.

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