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S. M. Giampaolo

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Preprint Sep 2026

A Universal Budget for Entanglement and Nonlocal Non-Stabilizerness

Entanglement and nonlocal non-stabilizerness are distinct quantum resources encoded in the Schmidt spectrum of a bipartite pure state. For qubit systems, we establish a universal quadratic constraint on their simultaneous allocation, governed by the minimum number of logical qubits required on each side to encode the o...

S. M. Giampaolo · 0 citations
Preprint Aug 2026

Schmidt-Gauge Non-Local Magic: Representation, Optimality, and Mathematical Properties

While the full non-stabilizerness (magic) of a quantum state contains local, basis-dependent contributions, a non-local formulation based on a minimization over local unitaries isolates the component associated with genuinely non-local correlations. Within such a framework, the Schmidt-gauge formulation of non-local ma...

F. Franchini, S. M. Giampaolo · 10 citations · ⚡2
Preprint Jul 2026

Non-Local Magic from the Entanglement Spectrum

Non-local magic has recently emerged as a fundamental resource for characterizing genuinely non-local non-stabilizer correlations. However, its direct calculation is an intractable numerical problem, except for small systems, and its understanding remains limited. We derive a representation of non-local magic in terms...

G. Torre, F. Franchini, S. M. Giampaolo · 16 citations · ⚡2

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