LEF: Quantum Execution for AI

Break complex operations into quantum-like particles. Parallel execution with deterministic outcomes.

|ψ⟩ = Σ_i α_i|particle_i⟩, where Σ|α_i|² = 1

Particle-Based Execution

⚛ Compute

P_c(x) → y

Pure computational units with no side effects. Deterministic transformations.

⚛ IO

P_io ⊗ World

Managed external interactions with rollback capabilities and isolation.

⚛ State

S_t+1 = P_s(S_t)

Immutable state transformations with complete history tracking.

⚛ Control

P_c: Flow → DAG

Orchestration particles managing flow and dependencies.

Quantum-Inspired Mechanics

Superposition

|ψ⟩ = α|0⟩ + β|1⟩

Particles exist in multiple states until observation, enabling parallel exploration of solution spaces.

Entanglement

|ψ⟩_AB ≠ |ψ⟩_A ⊗ |ψ⟩_B

Correlated particles share state, enabling instant coordination across distributed operations.

Collapse

P(outcome) = |⟨outcome|ψ⟩|²

Measurement collapses superposition to definite states, producing deterministic results.

Execution Model

Parallel Processing

LEF automatically identifies independent particles and executes them in parallel across available resources.

Guarantees:

  • Determinism - Same input, same output
  • Isolation - No side-effect interference
  • Atomicity - All or nothing execution
  • Reversibility - Undo any operation

Execution Pipeline

    [Intent]
        ↓
  [Decomposition]
    ↙    ↓    ↘
  P₁    P₂    P₃
    ↘    ↓    ↙
   [Composition]
        ↓
    [Result]
Result = Compose(Execute(Decompose(Intent)))

Performance Characteristics

1M+

Particles/Second

O(log n)

Scheduling Complexity

100%

Deterministic

∞

Scalability

Applications

Distributed AI

Execute AI operations across clusters with guaranteed consistency and fault tolerance.

Real-time Systems

Meet strict timing constraints through parallel particle execution and priority scheduling.

Scientific Computing

Complex simulations broken into particles for massive parallelization.

Execute at Quantum Speed

LEF brings quantum computing principles to AI execution. Parallel, deterministic, and infinitely scalable.

Deploy LEFBack to LATTICE