Non-stabilizerness in kinetically-constrained Rydberg atom arrays

Abstract

Non-stabilizer states are a fundamental resource for universal quantum computation. However,despite broad significance in quantum computing, the emergence of "many-body" non-stabilizerness in interacting quantum systems remains poorly understood due to its analytical intractability. Here we show that Rydberg atom arrays provide a natural reservoir of non-stabilizerness that extends beyond single qubits and arises from quantum correlations engendered by the Rydberg blockade. We demonstrate that this non-stabilizerness can be experimentally accessed in two complementary ways, either by performing quench dynamics or via adiabatic ground state preparation. Using the analytical framework based on matrix product states, we explain the origin of Rydberg nonstabilizerness via a quantum circuit decomposition of the wave function.

12 pages, 5 figures

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• Nonstabilizerness dynamics in many-body localized systems
• Stabilizer Rényi Entropy and Conformal Field Theory
• Interplay of entanglement structures and stabilizer entropy in spin models
• Stabilizer Scars
• Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries
• Computing quantum magic of state vectors
• Non-stabilizerness in quantum-enhanced metrological protocols
• Non-stabilizerness of Neural Quantum States
• Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit
• Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
• Stabilizer Rényi Entropy for Translation-Invariant Matrix Product States
• Spectral signatures of nonstabilizerness and criticality in infinite matrix product states
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos