Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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quant-ph 7years
2026 7representative citing papers
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
A sampling method combining fast Walsh-Hadamard transform and Clifford-preconditioned Monte Carlo reduces Pauli-string sampling cost from O(2^N) to O(N) with sample count independent of N for stabilizer Rényi entropies and nullity.
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
Ergotropy in the battery corresponds one-to-one with total nonstabilizerness under U(1)-symmetric charger-battery interactions, while maximum average charging power in Clifford evolution is achievable even with zero initial magic.
For weakly- and moderately-correlated molecular Hamiltonians, 2-stabilizer Renyi entropy of ground states scales linearly with both Hartree-Fock overlap and recovered correlation energy, with the link holding under contextual subspace approximations until the Coulson-Fischer point.
citing papers explorer
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Noise-induced Simulability Transition from Operator Scrambling
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Nonlocal nonstabilizerness in free fermion models
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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Exponentially Accelerated Sampling of Pauli Strings for Nonstabilizerness
A sampling method combining fast Walsh-Hadamard transform and Clifford-preconditioned Monte Carlo reduces Pauli-string sampling cost from O(2^N) to O(N) with sample count independent of N for stabilizer Rényi entropies and nullity.
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Long-range nonstabilizerness of topologically encoded states from mutual information
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
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Interplay of Nonstabilizerness and Ergotropy in Quantum Batteries
Ergotropy in the battery corresponds one-to-one with total nonstabilizerness under U(1)-symmetric charger-battery interactions, while maximum average charging power in Clifford evolution is achievable even with zero initial magic.
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Correlation is magic in electronic structure Hamiltonians
For weakly- and moderately-correlated molecular Hamiltonians, 2-stabilizer Renyi entropy of ground states scales linearly with both Hartree-Fock overlap and recovered correlation energy, with the link holding under contextual subspace approximations until the Coulson-Fischer point.
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