Introduces antiflatness of entanglement spectra, antiflat majorization based on Rényi entropy spread, and unifies measures via escort distributions while connecting capacity of entanglement to quantum Fisher information.
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The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
Proves stabilizer-Shannon Renyi equivalence for Gaussian states, enabling exact results and CFT scalings for stabilizer entropies in critical free-fermion chains.
citing papers explorer
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A journey through Flatland: What does the antiflatness of a spectrum teach us?
Introduces antiflatness of entanglement spectra, antiflat majorization based on Rényi entropy spread, and unifies measures via escort distributions while connecting capacity of entanglement to quantum Fisher information.
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Operational interpretation of the Stabilizer Entropy
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states
Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
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Stabilizer-Shannon Renyi Equivalence: Exact Results for Quantum Critical Chains
Proves stabilizer-Shannon Renyi equivalence for Gaussian states, enabling exact results and CFT scalings for stabilizer entropies in critical free-fermion chains.