Julia-type iterations defined via geometric product in Clifford algebra exhibit vector invariance through grade reduction, making the operator closed on the vector subspace in any dimension.
Mathematics of pub- lic key cryptography
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In neutrino oscillations treated as open quantum systems, coherence outlasts steering and negativity under amplitude damping, phase flip, and phase damping, showing memory-induced revivals in non-Markovian regimes.
Simulations across four organic qubit platforms show Petz recovery yields maximum fidelity gain at the entanglement-breaking threshold gamma_c, with Delta F max of 0.303 at dimension 64 and log2 d scaling.
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Vector Invariance and Structural Closure of Julia-Type Iterations in Clifford Algebra
Julia-type iterations defined via geometric product in Clifford algebra exhibit vector invariance through grade reduction, making the operator closed on the vector subspace in any dimension.
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Dephasing Effects on the Dynamical Evolution of Quantum Correlations and Coherence in Neutrino Oscillations
In neutrino oscillations treated as open quantum systems, coherence outlasts steering and negativity under amplitude damping, phase flip, and phase damping, showing memory-induced revivals in non-Markovian regimes.
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The $\gamma_c$-Peak: Covariant Recovery on Four Organic Qubit Platforms
Simulations across four organic qubit platforms show Petz recovery yields maximum fidelity gain at the entanglement-breaking threshold gamma_c, with Delta F max of 0.303 at dimension 64 and log2 d scaling.