64 citations · 169 across the 5 of their papers we have counts for
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The algebra of local unitary invariants of identical particles
Peter Vrana
We investigate the properties of the inverse limit of the algebras of local unitary invariant polynomials of quantum systems containing various types of fermionic and/or bosonic pa…
An algebraically independent generating set of the algebra of local unitary invariants
Peter Vrana
We show that the inverse limit of the graded algebras of local unitary invariant polynomials of finite dimensional k-partite quantum systems is free, and give an algebraically inde…
Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes
Peter Levay, Metod Saniga, Peter Vrana
The set of 63 real generalized Pauli matrices of three-qubits can be factored into two subsets of 35 symmetric and 28 antisymmetric elements. This splitting is shown to be complete…
Three fermions with six single particle states can be entangled in two inequivalent ways
Péter Lévay, Péter Vrana
Using a generalization of Cayley's hyperdeterminant as a new measure of tripartite fermionic entanglement we obtain the SLOCC classification of three-fermion systems with six singl…