Implement homomorphic encryption applications for encrypted proof analytics**

[jobbykings]

Create advanced homomorphic encryption applications for encrypted proof analytics, secure data processing without decryption, and privacy-preserving proof insights.

Requirements:
Homomorphic encryption application implementation
Encrypted proof analytics
Secure processing without decryption
Privacy-preserving insights
HE application security
Analytics efficiency optimization

Acceptance Criteria:
GIVEN HE application, WHEN active, THEN analytics work on encrypted data
GIVEN encrypted analytics, WHEN performed, THEN insights are gained without data exposure
GIVEN secure processing, WHEN enforced, THEN proof data never leaves encrypted state
GIVEN privacy insights, WHEN generated, THEN analytics results are privacy-preserving
GIVEN efficiency optimization, WHEN applied, THEN HE operations are reasonably fast

Files to Work On:

Backend:

backend/src/heapplications/HEApplications.ts (new)
backend/src/heapplications/EncryptedAnalytics.ts (new)
backend/src/heapplications/SecureProcessor.ts (new)
backend/src/heapplications/PrivacyInsights.ts (new)
backend/src/services/HEApplicationService.ts (new)

Frontend:

frontend/src/components/HEApplications/EncryptedAnalytics.tsx (new)
frontend/src/components/HEApplications/PrivacyInsights.tsx (new)