Yu. G. Palii

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Entangling properties of a mixed 2-qubit system can be described by the local homogeneous unitary invariant polynomials in elements of the density matrix. The structure of the corresponding invariant polynomial ring for the special subclass of states, the so-called mixed X−states, is established. It is shown that for the X−states there is an injective ring(More)
101 INTRODUCTION Completion of a system of polynomial and differential equations to involution [1, 2] is a necessary and extremely complicated stage in studying dynamical systems with nontrivial geometry of the configuration, or phase, space. Well-known examples of this kind are so-called degenerate Hamiltonian mechanical models [3–6]. When solving(More)
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