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use num_complex::Complex;
use std::collections::HashMap;
use std::fmt;
/// Represents a resolved, definite state after a Stabilization Protocol.
/// This reflects the emergence of stable patterns, the result of
/// integration, leading to distinguished states and the
/// formation of stable reality structures.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum StableState {
/// Represents a specific, distinct qualitative outcome.
/// The interpretation of the `u64` value depends on the basis defined
/// by the context and the stabilization process. It might represent
/// an index into a set of possible qualities or a direct value.
ResolvedQuality(u64),
// Future: Could have variants like `Undetermined` if stabilization fails coherently,
// or `Dissolved` if it leads to framework errors (though errors might be better).
}
impl StableState {
/// Helper to extract the numerical value from a ResolvedQuality state.
pub fn get_resolved_value(&self) -> Option<u64> {
match self {
StableState::ResolvedQuality(val) => Some(*val),
}
}
}
impl fmt::Display for StableState {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
match self {
StableState::ResolvedQuality(val) => write!(f, "Stable({})", val),
}
}
}
use crate::topology::IvmTopology;
/// A localized state tensor for a single QDU
#[derive(Clone, Debug)]
pub struct LocalTensor {
/// The minimal binary basis {Quality0, Quality1}
pub core_state: [Complex<f64>; 2],
/// Entanglement bonds to physical neighbors in the IVM.
pub bonds: HashMap<u64, Vec<Complex<f64>>>,
}
impl LocalTensor {
/// Initializes a QDU in the absolute baseline state (|Q0>) with no entanglements.
pub fn new_baseline() -> Self {
LocalTensor {
core_state: [
Complex::new(1.0, 0.0), // 100% Probability of Quality0
Complex::new(0.0, 0.0), // 0% Probability of Quality1
],
bonds: HashMap::new(),
}
}
}
/// The geometrically bound quantum state engine
#[derive(Clone, Debug)]
pub struct GeometricPotentialityState {
/// The distributed state network, mapping QDU IDs to their local tensors
pub network: HashMap<u64, LocalTensor>,
/// The immutable structural rules governing the network
pub topology: IvmTopology,
}
impl Default for GeometricPotentialityState {
fn default() -> GeometricPotentialityState {
GeometricPotentialityState::new()
}
}
impl GeometricPotentialityState {
/// Initializes the flat baseline state across all 64 nodes
pub fn new() -> Self {
let topology = IvmTopology::new();
let mut network = HashMap::new();
for &qdu_id in topology.nodes.keys() {
network.insert(qdu_id, LocalTensor::new_baseline());
}
GeometricPotentialityState { network, topology }
}
/// Initializes the Vector Equilibrium (The Zero-Point Vacuum)
/// Finds the innermost nodes of the IVM and prepares them in a highly coherent state.
pub fn new_equilibrium() -> Self {
let mut state = Self::new();
// In our {-3, -1, 1, 3} grid, the innermost core nodes are the ones
// constructed solely from {-1, 1}. There are exactly 8 of these
// coordinate combinations representing the central Star Tetrahedron!
let inner_bound = 1;
for (&qdu_id, coord) in &state.topology.nodes {
if coord.x.abs() == inner_bound
&& coord.y.abs() == inner_bound
&& coord.z.abs() == inner_bound
{
// Fetch the local tensor and push it into a coherent superposition (|+> analog)
if let Some(tensor) = state.network.get_mut(&qdu_id) {
let inv_sqrt2 = 1.0 / 2.0_f64.sqrt();
tensor.core_state =
[Complex::new(inv_sqrt2, 0.0), Complex::new(inv_sqrt2, 0.0)];
// Later, we will establish the initial entanglement bonds here to
// lock this core into the true Vector Equilibrium geometry!
}
}
}
state
}
/// Deterministically resolves the potentiality of specific QDUs.
/// Replaces probabilistic measurement with a Golden Ratio (1/phi) coherence filter.
pub fn stabilize(&mut self, targets: &[u64]) -> Result<HashMap<u64, u8>, String> {
use std::collections::hash_map::DefaultHasher;
use std::hash::{Hash, Hasher};
let mut outcomes = HashMap::new();
let inverse_phi = 0.61803398875; // The Golden Ratio Coherence Threshold
for &target in targets {
let tensor = self
.network
.get(&target)
.ok_or_else(|| format!("QDU {} does not exist in the network.", target))?;
// 1. Calculate local amplitudes (interpreted as Phase Coherence base)
let prob_0 = tensor.core_state[0].norm_sqr();
let prob_1 = tensor.core_state[1].norm_sqr();
// 2. The Deterministic Seed
// We hash the exact floating-point memory of the core state to generate
// a strictly deterministic pseudo-random number.
let mut hasher = DefaultHasher::new();
prob_0.to_bits().hash(&mut hasher);
prob_1.to_bits().hash(&mut hasher);
let seed = hasher.finish();
// Generate a deterministic float between 0.0 and 1.0
let prng_val = (seed % 1000000) as f64 / 1000000.0;
// 3. The Coherence Filter & Selection
// If a state breaches the Golden Ratio threshold, it forces structural reality.
// Otherwise, the deterministic PRNG collapses the wave based on weight.
let outcome = if prob_0 > inverse_phi {
0 // Quality0 has achieved dominant structural coherence
} else if prob_1 > inverse_phi {
1 // Quality1 has achieved dominant structural coherence
} else {
// Neither breached the threshold natively; use the deterministic PRNG
if prng_val <= (prob_0 / (prob_0 + prob_1)) {
0
} else {
1
}
};
outcomes.insert(target, outcome);
}
// 4. Collapse the Geometry
// Once the outcome is determined, we sever the potentiality and lock it into reality.
for (&target, &outcome) in &outcomes {
let tensor = self.network.get_mut(&target).unwrap();
if outcome == 0 {
tensor.core_state = [Complex::new(1.0, 0.0), Complex::new(0.0, 0.0)];
} else {
tensor.core_state = [Complex::new(0.0, 0.0), Complex::new(1.0, 0.0)];
}
// Sever the entanglement bonds! The potentiality has collapsed,
// freeing the adjacent geometry to form new connections.
tensor.bonds.clear();
}
Ok(outcomes)
}
/// Applies a single-QDU operation natively (O(1) complexity!)
pub fn apply_local_operation(
&mut self,
target: u64,
matrix: &[[Complex<f64>; 2]; 2],
) -> Result<(), String> {
let tensor = self
.network
.get_mut(&target)
.ok_or_else(|| format!("QDU {} does not exist in the network.", target))?;
let current_state = tensor.core_state;
// Standard matrix * vector multiplication, but completely localized to one node
tensor.core_state[0] = matrix[0][0] * current_state[0] + matrix[0][1] * current_state[1];
tensor.core_state[1] = matrix[1][0] * current_state[0] + matrix[1][1] * current_state[1];
Ok(())
}
/// Enforces the Locality Rule for two-QDU operations
/// Enforces the Locality Rule and establishes a shared Bond Tensor between two adjacent QDUs
pub fn apply_entanglement(&mut self, control: u64, target: u64) -> Result<(), String> {
// 1. The Locality Rule
if !self.topology.are_adjacent(control, target) {
return Err(format!(
"Topological Error: QDU {} and QDU {} are not physically adjacent in the IVM. Route through intermediate nodes.",
control, target
));
}
// 2. To avoid Rust's borrow checker issues when mutating two items in the same HashMap,
// we temporarily extract their core states.
let control_state = self.network.get(&control).unwrap().core_state;
let target_state = self.network.get(&target).unwrap().core_state;
// 3. Create the initial Bond Tensor (a 2x2 matrix flattened into a Vec of length 4).
// This represents the joint probability space of just these two adjacent nodes.
// T_{ij} = Control_{i} * Target_{j}
let mut bond_tensor = vec![Complex::new(0.0, 0.0); 4];
bond_tensor[0] = control_state[0] * target_state[0]; // |00>
bond_tensor[1] = control_state[0] * target_state[1]; // |01>
bond_tensor[2] = control_state[1] * target_state[0]; // |10>
bond_tensor[3] = control_state[1] * target_state[1]; // |11>
// 4. Update both LocalTensors to hold a reference to this shared bond
if let Some(c_tensor) = self.network.get_mut(&control) {
c_tensor.bonds.insert(target, bond_tensor.clone());
}
if let Some(t_tensor) = self.network.get_mut(&target) {
// Depending on the tensor network definition, the target might store the transposed bond,
// but for simplicity in this baseline, they share the identical state map.
t_tensor.bonds.insert(control, bond_tensor);
}
Ok(())
}
/// Approximates the global norm of the tensor network.
/// For locally unitary states, this ensures the system hasn't leaked probability.
pub fn global_norm_sq(&self) -> f64 {
let mut total_norm = 1.0;
for tensor in self.network.values() {
let local_norm_sq = tensor.core_state[0].norm_sqr() + tensor.core_state[1].norm_sqr();
total_norm *= local_norm_sq;
}
total_norm
}
}
/// Patch for state migration
pub type PotentialityState = GeometricPotentialityState;