ruqu-exotic

Experimental quantum-classical hybrid algorithms — quantum memory decay, interference-based search, reasoning error correction, swarm interference, syndrome diagnosis, and reversible memory for AI systems.

Algorithms

Module	Description	Application
Quantum Decay	Temporal coherence loss modeling	Memory systems, caching
Interference Search	Quantum-inspired amplitude interference	Vector similarity
Reasoning QEC	Error correction for AI reasoning chains	LLM reliability
Swarm Interference	Multi-agent quantum coordination	Distributed AI
Syndrome Diagnosis	Error pattern detection	System health
Reversible Memory	Quantum-reversible state management	Undo/redo systems

Installation

cargo add ruqu-exotic

Quantum Memory Decay

Model temporal coherence loss in memory systems:

use ruqu_exotic::quantum_decay::{DecayModel, MemoryState};

let model = DecayModel::new()
    .t1(100.0)      // Amplitude decay time (μs)
    .t2(50.0)       // Phase decay time (μs)
    .temperature(0.02);  // Thermal noise

let state = MemoryState::from_embedding(embedding);
let decayed = model.evolve(state, time: 10.0)?;

println!("Fidelity after 10μs: {:.2}%", decayed.fidelity() * 100.0);

Interference Search

Quantum-inspired amplitude interference for similarity search:

use ruqu_exotic::interference_search::{InterferenceIndex, Query};

let mut index = InterferenceIndex::new(dimension: 384);
index.add_vectors(&embeddings)?;

// Constructive interference amplifies similar vectors
let query = Query::new(query_embedding)
    .interference_rounds(3)
    .phase_kickback(true);

let results = index.search(query, k: 10)?;

Reasoning Error Correction

Detect and correct errors in AI reasoning chains:

use ruqu_exotic::reasoning_qec::{ReasoningCode, LogicalChain};

let code = ReasoningCode::new()
    .redundancy(3)           // Triple modular redundancy
    .syndrome_bits(2);       // Error detection bits

let chain = LogicalChain::from_steps(&[
    "Premise: All A are B",
    "Premise: X is A",
    "Conclusion: X is B"
]);

let protected = code.encode(chain)?;
let (decoded, errors) = code.decode_and_correct(protected)?;
println!("Detected {} logical errors", errors.len());

Swarm Interference

Coordinate multi-agent systems with quantum interference:

use ruqu_exotic::swarm_interference::{SwarmState, Agent};

let mut swarm = SwarmState::new(n_agents: 8);

// Agents interfere constructively on consensus
for round in 0..10 {
    swarm.apply_interference()?;
    swarm.measure_partial()?;  // Partial collapse
}

let consensus = swarm.final_state()?;

Syndrome Diagnosis

Detect error patterns in distributed systems:

use ruqu_exotic::syndrome_diagnosis::{Diagnostics, Pattern};

let diag = Diagnostics::new()
    .stabilizers(&["XXXX", "ZZZZ"])
    .measurement_noise(0.01);

let syndromes = diag.measure(&system_state)?;
let errors = diag.decode_syndromes(syndromes)?;

for error in errors {
    println!("Error at {:?}: {:?}", error.location, error.type_);
}

Reversible Memory

Quantum-reversible operations for undo/redo:

use ruqu_exotic::reversible_memory::{ReversibleStore, Operation};

let mut store = ReversibleStore::new();

store.apply(Operation::Insert { key: "a", value: vec![1,2,3] })?;
store.apply(Operation::Update { key: "a", value: vec![4,5,6] })?;

// Perfect reversal via uncompute
store.reverse_last()?;  // Back to [1,2,3]
store.reverse_last()?;  // Back to empty

Integration with RuVector

These algorithms integrate with the RuVector vector database for quantum-enhanced AI:

use ruvector_core::Index;
use ruqu_exotic::interference_search::InterferenceIndex;

// Wrap RuVector index with interference search
let base_index = Index::new(config)?;
let quantum_index = InterferenceIndex::wrap(base_index)?;

ruqu-exotic 2.0.4