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Alioscia Hamma (University of Naples Federico II, Italy) Abstract:
We all know that entanglement is important in quantum mechanics. However, every form of complex behavior, including that which is responsible for quantum advantage, needs a second ingredient, colloquiually known as magic. In this talk we will show that quantum advantage and quantum complexity arise from the conspiration and interplay of two entropic resources, Entanglement Entropy (EE) and Stabilizer Entropy (SE). In particular, quantum complex behavior arises when stabilizer entropy gets scrambled around. We will provide an introduction to the resource theory of SE and applications in quantum many-body systems, quantum metrology, black-hole physics, and foundations of quantum mechanics.
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Joint ICTP/SISSA Condensed Matter Seminar: Complexity, Entanglement, and Stabilizer entropy
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