Lindblad Master Equation (Open Quantum Systems) L1-324

Quantum MechanicsMarkovian open-system dynamicsδ=5 · challengingL_DAG = 3.5📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

d r h o / d t = - i / hba r \cdot [H, r h o] + k \sum L_{k} r h o L_{k}^{d} a g - (1/2) L_{k}^{d} a g L_{k}, r h o

Lindblad equation for density matrix rho(t): drho/dt = -i/hbar*[H,rho] + sum_k (L_k rho L_k^dag - (1/2){L_k^dag L_k, rho}).

L-DAG

E.hamiltonian -> E.dissipators -> D.time -> O.observables

E.hamiltonianE.dissipatorsD.timeO.observables

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 400

Trace-preserving; completely positive; well-posed for finite-dim Hilbert space.

Solvability C

Solver class:: QuTiP mesolve; Runge-Kutta; super-operator Liouvillian diagonalization
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.