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Geometric Aspects of Entanglement
Lucio De Simone, Lorenzo Capra, Arthur Vesperini +3
Quantum entanglement is a fundamental resource in quantum information theory, yet its general characterization and quantification remain challenging, especially in multipartite sys…
A Practical Approach To Verifying Structural Invariants In Colored Petri Nets
Lorenzo Capra
Structural analysis is a core method in Petri Net (PN) research, offering a perspective complementary to state-space techniques while avoiding many of their limitations. It is well…
Semi-automated Verification of Symbolic Invariants In Extended Symmetric Nets
Lorenzo Capra
Structural analysis is central to Petri Net (PN) research, complementing state-space methods while avoiding their combinatorial issues. It is well studied for classical PNs but muc…
Entanglement Dynamics in Katz-Weighted Graph States
Lucio De Simone, Lorenzo Capra, Roberto Franzosi
We investigate the entanglement dynamics of quantum states defined on graphs with non-local Ising interactions governed by the Katz kernel of the underlying network. The interactio…
A Geometric Theory of Quantum Entanglement
Lorenzo Capra, Lucio de Simone, Roberto Franzosi
Entanglement Distance (ED) was originally proposed as a geometric measure of entanglement derived from the Fubini-Study metric on the projective Hilbert space. Independently, the M…