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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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.
A linear Stabilizer Entropy acts as a non-stabilizerness monotone with overwhelming probability for mixed states under non-adaptive Clifford channels on flat stabilizer states, with violation probabilities decaying exponentially with system size.
citing papers explorer
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Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits
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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Hidden Conformal Boundary Data in Finite-Temperature Stabilizer Entropy
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.
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Sudden death of entanglement, rebirth of magic
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.
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Intrinsic spectral structure of bipartite nonlocal magic resource
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.
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Quantum Magic in early FTQC: From Diagonal Clifford Hierarchy No-Go Theorems to Architecture Design Blueprints
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.
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Local Minimum of Spin-Sector Magic at the CP-Conserving Point in Low-Energy Neutron-Proton Scattering
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.
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Stabilizer entropy is trustworthy for mixed states
A linear Stabilizer Entropy acts as a non-stabilizerness monotone with overwhelming probability for mixed states under non-adaptive Clifford channels on flat stabilizer states, with violation probabilities decaying exponentially with system size.