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quant-ph2000
Decomposition of pure states of a quantum register
Ioannis Raptis, Roman R. Zapatrin
Using the leading vector method, we show that any vector can be decomposed as a sum of at most (and at least in the generic case) product vectors us…
math.CT2000★ 2 cited
Algebraic duality for partially ordered sets
Roman R. Zapatrin
For an arbitrary partially ordered set its {\em dual} is built as the collection of all monotone mappings $P\to\2$ where $\2=\{0,1\}$ with . The set of mappings $P^*…
math.CO2000★ 18 cited
Incidence algebras of simplicial complexes
Roman R. Zapatrin
With any locally finite partially ordered set its incidence algebra is associated. We shall consider algebras over fields with characteristic zero. In this case there is…