In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
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Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
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.
Entanglement entropy bounds the variance of Trotter error downward, and magic drives the error kurtosis downward (Kur = α + βM, β<0 for large systems).
Stabilizer Rényi entropy of 3-uniform hypergraph states equals a matrix-rank expression, cutting computation from exponential in 3N to polynomial in N times exponential in N.
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.
Characterizes qubit magic states via relative entropy of entanglement results and proves nonadditivity of relative entropy of magic for multi-qubit tensor products.
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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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Tuning quantum magic of pure quantum chaotic states with a gravity dual
In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
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Clifford Ergotropy
Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
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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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Taming Trotter Errors with Quantum Resources
Entanglement entropy bounds the variance of Trotter error downward, and magic drives the error kurtosis downward (Kur = α + βM, β<0 for large systems).
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Stabilizer R\'enyi entropy of 3-uniform hypergraph states
Stabilizer Rényi entropy of 3-uniform hypergraph states equals a matrix-rank expression, cutting computation from exponential in 3N to polynomial in N times exponential in N.
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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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The relative entropy of magic and its nonadditivity
Characterizes qubit magic states via relative entropy of entanglement results and proves nonadditivity of relative entropy of magic for multi-qubit tensor products.
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Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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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.
- Quantum Computational Resources and Conformal Field Theory: Unifying Spins, Bosons, and Fermions