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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Stabilizer entropies are monotones for magic-state resource theory
10 Pith papers cite this work, alongside 78 external citations. Polarity classification is still indexing.
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Under local amplitude damping, GHZ-type states lose magic, regain it after entanglement death, and the rebirth threshold exactly mirrors the entanglement-death threshold: γ₊ = 1 − γₑ for every n.
Linear stabilizer entropy (purity minus stabilizer purity) is an exponentially reliable non-stabilizerness monotone, a 'resource proxy', over Haar-random, Clifford-orbit and random-MPS ensembles, with a positive averaged gap across the XY-model phase diagram.
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.
citing papers explorer
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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, GHZ-type states lose magic, regain it after entanglement death, and the rebirth threshold exactly mirrors the entanglement-death threshold: γ₊ = 1 − γₑ for every n.
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Stabilizer entropy is trustworthy for mixed states
Linear stabilizer entropy (purity minus stabilizer purity) is an exponentially reliable non-stabilizerness monotone, a 'resource proxy', over Haar-random, Clifford-orbit and random-MPS ensembles, with a positive averaged gap across the XY-model phase diagram.
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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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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.
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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.
- Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits