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Explore a 42-minute talk by Lorenzo Piroli from the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) that delves into long-range nonstabilizerness and its implications for quantum physics. Delivered as part of the Thematic Programme on "Entanglement in Many-body Quantum Matter: Dynamics, Dissipation, Equilibration," this presentation examines the concept of nonstabilizerness (colloquially known as magic) which quantifies the number of non-Clifford operations needed to prepare a quantum state. Learn about long-range nonstabilizerness in many-body quantum physics and its potential applications for quantum-state preparation protocols and quantum-error correcting codes. Discover how this property is generic in many-body states and dynamics, with particular focus on ground states of gapped local Hamiltonians in one-dimensional systems. Understand the rigorous results presented for translation-invariant matrix product states (MPSs), including a sufficient condition for long-range nonstabilizerness based on local MPS tensors. The talk also covers how this condition relates to the quantization of mutual information between distant regions in stabilizer fixed points and explores implications for classifying phases of matter and quantum error correction.
