ResearchPod Summary
In quantum information, magic (or non-stabilizerness) is a resource that distinguishes states that are hard to simulate classically from those that are not. However, magic is typically defined relative to a fixed computational basis. In physical processes like gluon scattering, the helicity data only define the basis up to local phase conventions. This paper asks: how can we define a robust, phase-independent measure of magic, and what does this reveal about the resource content of gluon scattering?
The authors generalize the stabilizer Rényi entropy (SRE) by averaging the measure over the U(1) phase orbit of each qubit. This construction effectively 'quotients out' the phase ambiguity inherent in the helicity basis. They then apply this framework to tree-level gluon scattering processes, treating outgoing helicities as qubits. By calculating the amplitudes for 2→2, 3→2, and 2→3 scattering, they analyze how the phase-independent magic evolves with kinematics and particle multiplicity.
The study reveals three key insights:
This work bridges the gap between high-energy particle physics and quantum information theory. By refining the definition of magic to be phase-independent, the authors provide a more physically robust way to quantify the 'quantumness' of scattering amplitudes. This approach allows researchers to treat the S-matrix as a source of quantum resources, potentially offering new ways to probe the complexity of gauge theories through the lens of quantum computation.
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