In the present paper, we consider the marginal entropy of the a pure state in the tensor product of two Hilbert spaces. The expectation of the marginal entropy of a random pure state with respect to the Haar measure of unitary transformation on the tensor product Hilbert space depends on group integrals of unitary group. For group integrals of ordinary representation matrix elements of U(n), we...

Some acetophenone derived bis Mannich bases (B1-B5) and piperidinols (C1, C4), which are the structural isomers of B1 and B4, and also quaternary piperidine derivative C6 were synthesized and studied for anticonvulsant activity. Of the compounds, C6 was reported for the first time. Chemical structures of the compounds were confirmed by UV, IR, 1H-NMR, 13C-NMR, mass spectra and elemental analysi...

In this study, we aimed to develop new biologically active compounds with antibacterial properties. 4-amino-5-methyl-2H-1,2,4-triazol-3(4H)-one (1) was converted the corresponding Schiff bases (2) reaction a 4-anis aldehyde. Acetic acid ethyl esters containing [1,2,4] triazole ring (3) were synthesized by condensation of bromoacetate in basic media. The hydrazine hydrate led formation hydrazide...

The most general type of measurement in a quantum system is a Positive Operator Valued Measure (POVM). In order for the POVM to completely determine the quantum state being measured it must be Informationally Complete. Maximal independence of outcomes is critical in Cryptographic applications [7], thus the pairwise inner products of the POVM elements need to be uniform. Thus we are interested i...

RATIONALE Benzimidazoles and its derivatives represent one of the mainly biological active classes of literature. AIM In this present study aimed to synthesize N-mannich bases derivatives compounds bearing of 2-substituted benzimidazole moiety, in order to investigate their possible biological activity. METHOD Benzimidazole compounds were prepared from the condensation reaction between orth...