Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
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Stabilizer entropies are monotones for magic-state resource theory
10 Pith papers cite this work. Polarity classification is still indexing.
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The stabilizer Rényi entropy at Rényi index 1/2 for the finite-temperature transverse-field Ising chain reduces exactly to a Pfaffian whose universal scaling function is a level-eight eta quotient encoding hidden defect-like conformal boundary data.
Under local amplitude damping the n-qubit GHZ family loses entanglement at damping strength γ_e but regains magic at γ_+ satisfying γ_e + γ_+ = 1 for every n, with the reborn magic residing in a fully separable state.
Pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum via dimension reduction, yielding quadratic perturbation response, Haar-random profiles localized at symmetric cuts, and closed forms for rank-2 states.
No-go theorems prove hierarchy level and state-independent sequences cannot maximize operational magic in early FTQC, requiring state-aware differentiable optimization and nonlinear phases for scalable magic generation.
Proves stabilizer-Shannon Renyi equivalence for Gaussian states, enabling exact results and CFT scalings for stabilizer entropies in critical free-fermion chains.
Introduces permutation-agnostic distance measures to quantify non-stabiliserness consumption and shows structured variational methods use it more efficiently than unstructured ones with greater classical optimisation freedom.
Amplitude damping generates nonstabilizerness in qubit systems unlike depolarizing noise, with local injection washed out collectively after encoding, decoding, and postselection.
Within a restricted low-energy spin-sector ansatz for n-p scattering, direction-averaged magic is locally minimized at the CP-conserving point heta-bar=0 when the effective phase equals heta/4 or lies in specific windows.
Linear Stabilizer Entropy serves as a proper non-stabilizerness monotone with overwhelming probability for non-adaptive Clifford channels on flat mixed stabilizer states, with violation probability decaying exponentially in system size.
citing papers explorer
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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.
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Geometric and Resource-Theoretic Characterisation of Non-Stabiliserness in Quantum Algorithms
Introduces permutation-agnostic distance measures to quantify non-stabiliserness consumption and shows structured variational methods use it more efficiently than unstructured ones with greater classical optimisation freedom.
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Nonstabilizerness and Error Resilience in Noisy Quantum Circuits
Amplitude damping generates nonstabilizerness in qubit systems unlike depolarizing noise, with local injection washed out collectively after encoding, decoding, and postselection.