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.
Non-stabilizerness of sachdev-ye-kitaev model (2025)
6 Pith papers cite this work. Polarity classification is still indexing.
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In U(1)-symmetric 1D random circuits the stabilizer Rényi entropy gap closes diffusively as 1/t, with the same scaling seen in an energy-conserving Ising chain.
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.
Non-Hermitian and dissipative dynamics engineer magic steady states in qubits that attract every initial state to high-magic targets.
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
Bond formation in H2 and other dimers increases non-stabilizerness (magic) of the ground state, peaking with binding energy and suggesting stretched molecules as quantum resources.
citing papers explorer
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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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Diffusive Dynamics of Nonstabilizerness
In U(1)-symmetric 1D random circuits the stabilizer Rényi entropy gap closes diffusively as 1/t, with the same scaling seen in an energy-conserving Ising chain.
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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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Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways
Non-Hermitian and dissipative dynamics engineer magic steady states in qubits that attract every initial state to high-magic targets.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
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Are Molecules Magical? Non-Stabilizerness in Molecular Bonding
Bond formation in H2 and other dimers increases non-stabilizerness (magic) of the ground state, peaking with binding energy and suggesting stretched molecules as quantum resources.