Refactor quantum state representation and introduce wave function man…

…agement

- Removed the old State struct from `qvalue.go` and created a new `State` struct in `state.go` to better encapsulate quantum state properties, including evidence for verification.
- Introduced `WaveFunction` in `wavefunction.go` to manage multiple quantum states, allowing for probabilistic collapse based on evidence and uncertainty levels.
- Enhanced probability normalization and evidence handling in the wave function collapse mechanism, improving the accuracy of state transitions.
- Added methods for adjusting probabilities based on evidence and method diversity, facilitating a more robust quantum state management system.

These changes significantly improve the representation and management of quantum states, aligning with the project's goals of enhancing quantum-inspired operations.

qvalue.go

@@ -12,13 +12,6 @@ import (
 // Probability represents a quantum state probability
 type Probability float64
 
-// State represents a possible quantum state
-type State struct {
-	Value       interface{}
-	Amplitude   complex128
-	Probability Probability
-}
-
 // UncertaintyLevel defines how uncertain we are about a value
 type UncertaintyLevel float64
 
@@ -193,10 +186,10 @@ func mergeSates(a, b []State) []State {
 	// Normalize probabilities
 	totalProb := Probability(0)
 	for _, s := range merged {
-		totalProb += s.Probability
+		totalProb += Probability(s.Probability)
 	}
 	for i := range merged {
-		merged[i].Probability /= totalProb
+		merged[i].Probability /= float64(totalProb)
 	}
 
 	return merged

state.go

@@ -0,0 +1,12 @@
+package qpool
+
+/*
+State represents a possible quantum state with its probability amplitude
+and associated verification information.
+*/
+type State struct {
+	Value       interface{}
+	Probability float64
+	Amplitude   complex128 // For future quantum computing features
+	Evidence    []Evidence // Supporting evidence for this state
+}

wavefunction.go

@@ -0,0 +1,174 @@
+// wavefunction.go
+package qpool
+
+import (
+    "math"
+    "math/rand"
+)
+
+/*
+WaveFunction represents a quantum state that can exist in multiple possible
+states simultaneously until observation or verification forces a collapse
+into a definite state.
+*/
+type WaveFunction struct {
+    States      []State
+    Uncertainty UncertaintyLevel
+    isCollapsed bool
+
+    // New fields for verification-aware collapse
+    methodDiversity float64
+    evidenceQuality float64
+}
+
+/*
+Evidence represents verification data supporting a particular state.
+*/
+type Evidence struct {
+    Method      string      // Verification method used
+    Confidence  float64     // Confidence in this evidence
+    Data        interface{} // The actual evidence data
+}
+
+func NewWaveFunction(
+    states []State,
+    uncertainty UncertaintyLevel,
+    methodDiversity float64,
+) *WaveFunction {
+    return &WaveFunction{
+        States:          states,
+        Uncertainty:     uncertainty,
+        isCollapsed:     false,
+        methodDiversity: methodDiversity,
+    }
+}
+
+/*
+Collapse forces the wave function to choose a definite state based on both
+probabilities and verification evidence. The collapse mechanism considers:
+1. State probabilities
+2. Method diversity
+3. Evidence quality
+4. Uncertainty level
+*/
+func (wf *WaveFunction) Collapse() interface{} {
+    if wf.isCollapsed {
+        if len(wf.States) > 0 {
+            return wf.States[0].Value
+        }
+        return nil
+    }
+
+    if len(wf.States) == 0 {
+        return nil
+    }
+
+    // Calculate adjusted probabilities based on evidence
+    adjustedStates := wf.calculateAdjustedProbabilities()
+
+    // Generate a random number between 0 and 1
+    r := rand.Float64()
+
+    // Collapse based on adjusted probabilities
+    var cumulativeProb float64
+    for _, state := range adjustedStates {
+        cumulativeProb += state.Probability
+        if r <= cumulativeProb {
+            // Collapse to this state
+            wf.States = []State{state}
+            wf.isCollapsed = true
+
+            // Uncertainty reduces after collapse
+            wf.Uncertainty = UncertaintyLevel(
+                math.Max(0.1, float64(wf.Uncertainty) * (1.0 - wf.methodDiversity)),
+            )
+
+            return state.Value
+        }
+    }
+
+    // Fallback collapse
+    lastState := adjustedStates[len(adjustedStates)-1]
+    wf.States = []State{lastState}
+    wf.isCollapsed = true
+    return lastState.Value
+}
+
+/*
+calculateAdjustedProbabilities modifies state probabilities based on
+verification evidence and method diversity.
+*/
+func (wf *WaveFunction) calculateAdjustedProbabilities() []State {
+    adjustedStates := make([]State, len(wf.States))
+    copy(adjustedStates, wf.States)
+
+    // Calculate evidence-based adjustments
+    for i := range adjustedStates {
+        evidenceWeight := wf.calculateEvidenceWeight(adjustedStates[i].Evidence)
+
+        // Adjust probability based on evidence and method diversity
+        adjustedStates[i].Probability *= (1 + evidenceWeight*wf.methodDiversity)
+    }
+
+    // Normalize probabilities
+    wf.normalizeStateProbabilities(adjustedStates)
+
+    return adjustedStates
+}
+
+/*
+calculateEvidenceWeight determines how much evidence should influence
+the collapse probability.
+*/
+func (wf *WaveFunction) calculateEvidenceWeight(evidence []Evidence) float64 {
+    if len(evidence) == 0 {
+        return 0
+    }
+
+    var totalWeight float64
+    for _, e := range evidence {
+        totalWeight += e.Confidence
+    }
+
+    return totalWeight / float64(len(evidence))
+}
+
+/*
+normalizeStateProbabilities ensures probabilities sum to 1.0
+*/
+func (wf *WaveFunction) normalizeStateProbabilities(states []State) {
+    var total float64
+    for _, s := range states {
+        total += s.Probability
+    }
+
+    if total > 0 {
+        for i := range states {
+            states[i].Probability /= total
+        }
+    }
+}
+
+/*
+AddEvidence allows adding new evidence to a state after creation.
+*/
+func (wf *WaveFunction) AddEvidence(stateValue interface{}, evidence Evidence) {
+    for i, state := range wf.States {
+        if state.Value == stateValue {
+            wf.States[i].Evidence = append(wf.States[i].Evidence, evidence)
+            return
+        }
+    }
+}
+
+/*
+UpdateMethodDiversity allows updating the method diversity score as new
+verification methods are added.
+*/
+func (wf *WaveFunction) UpdateMethodDiversity(diversity float64) {
+    wf.methodDiversity = diversity
+    // Higher diversity reduces uncertainty
+    wf.Uncertainty = UncertaintyLevel(
+        math.Max(0.1, float64(wf.Uncertainty) * (1.0 - diversity)),
+    )
+}