Continuous-Time Quantum Error Correction via Lindblad Feedback Control — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Continuous-time quantum error correction (CTQEC) unifies noise and correction as a single Markovian open-system dynamics governed by the Lindblad master equation, enabling feedback control without discrete syndrome measurement. | MATH: dρ/dt = -i[H,ρ] + Σ_k (L_k ρ L_k† - ½{L_k†L_k, ρ}); steady-state condition: Σ_k (L_k ρ_ss L_k† - ½{L_k†L_k, ρ_ss}) = 0; code-space projection P_c with feedback Hamiltonian H_fb = Σ_a λ_a M_a (M_a = measurement operators); recovery fidelity F = Tr[P_c ρ(t)] → 1 as t→∞ under Knill-Laflamme condition P_c L_k† L_j P_c = α_kj P_c | CONNECTION: Knill-Laflamme condition defines a code subspace invariant under error operators — structurally identical to a stabilizer lattice / root-system invariant subspace; continuous weak measurement rates and feedback gains form a control manifold whose fixed points correspond to decoherence-free subspaces (DFS), which are the quantum analogue of crystallographic symmetry-protected subspaces. No direct appearance of φ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224994416