#!/usr/bin/env python3 """ TESSERACT-NODE v1.0 — 4D Offline Quantum Server A high-performance quantum computing server implementing 4D spacetime coordinates, quantum entanglement operations, GHZ states, and Grover's search algorithm. Copyright Daniel Harding - RomanAILabs Fixed for Qiskit 1.0+ | Offline | Linux Modified: Added Grover's search in 4D memory Features: - 4D Spacetime coordinate system with relativistic calculations - Quantum entanglement and Bell pair generation - GHZ state creation for multi-qubit systems - Grover's quantum search algorithm - HyperMemory 4D data storage system - RESTful API with comprehensive error handling - Background spacetime drift simulation """ import logging import threading import time from dataclasses import dataclass from datetime import datetime from typing import Dict, Optional, Tuple, Any import numpy as np from flask import Flask, jsonify, request, Response from qiskit import QuantumCircuit, transpile from qiskit_aer import AerSimulator from qiskit_aer.backends import AerSimulator as AerSimulatorType # ============================================================================ # CONFIGURATION # ============================================================================ @dataclass class Config: """Application configuration settings.""" host: str = '127.0.0.1' port: int = 8888 debug: bool = False log_level: str = 'INFO' drift_interval: float = 10.0 # seconds default_shots: int = 1024 max_qubits: int = 16 speed_of_light: float = 299792458.0 # m/s # ============================================================================ # LOGGING SETUP # ============================================================================ def setup_logging(level: str = 'INFO') -> None: """Configure application logging. Args: level: Logging level (DEBUG, INFO, WARNING, ERROR, CRITICAL) """ logging.basicConfig( level=getattr(logging, level.upper()), format='%(asctime)s - %(name)s - %(levelname)s - %(message)s', datefmt='%Y-%m-%d %H:%M:%S' ) logger = logging.getLogger(__name__) config = Config() # ============================================================================ # 4D SPACETIME COORDINATES # ============================================================================ class Spacetime4D: """ Represents a 4D spacetime coordinate system with relativistic calculations. Coordinates are stored as (t, x, y, z) where t is time and (x, y, z) are spatial coordinates. The time coordinate is converted to spatial units using the speed of light for relativistic calculations. Attributes: c: Speed of light in m/s (default: 299792458.0) t: Time coordinate x: X spatial coordinate y: Y spatial coordinate z: Z spatial coordinate """ def __init__(self, c: float = config.speed_of_light) -> None: """Initialize 4D spacetime coordinates. Args: c: Speed of light constant (default: 299792458.0 m/s) """ self.c: float = c self.t: float = 0.0 self.x: float = 0.0 self.y: float = 0.0 self.z: float = 0.0 logger.debug(f"Initialized Spacetime4D at origin with c={c}") def move(self, dt: float, dx: float, dy: float, dz: float) -> Tuple[float, float, float, float]: """ Move through 4D spacetime by specified increments. Args: dt: Time increment dx: X spatial increment dy: Y spatial increment dz: Z spatial increment Returns: Tuple of (c*t, x, y, z) representing the new position in spacetime """ self.t += dt self.x += dx self.y += dy self.z += dz position = (self.c * self.t, self.x, self.y, self.z) logger.debug(f"Moved to position: {position}") return position def get_position(self) -> Tuple[float, float, float, float]: """ Get current 4D spacetime position. Returns: Tuple of (c*t, x, y, z) representing current position """ return (self.c * self.t, self.x, self.y, self.z) def reset(self) -> None: """Reset all coordinates to origin.""" self.t = self.x = self.y = self.z = 0.0 logger.debug("Reset Spacetime4D to origin") # ============================================================================ # QUANTUM ENGINE # ============================================================================ class QuantumCore: """ Quantum computing core using Qiskit AerSimulator. Provides methods for creating entangled pairs, GHZ states, and performing Grover's search algorithm. Attributes: backend: Qiskit AerSimulator backend instance """ def __init__(self, backend: Optional[AerSimulatorType] = None) -> None: """Initialize quantum computing backend. Args: backend: Optional custom backend (default: AerSimulator) """ try: self.backend: AerSimulatorType = backend or AerSimulator() logger.info("QuantumCore initialized successfully") except Exception as e: logger.error(f"Failed to initialize QuantumCore: {e}") raise def create_entangled_pair(self, shots: int = config.default_shots) -> str: """ Create a Bell pair (maximally entangled qubit pair). Creates a Bell state |Φ+⟩ = (|00⟩ + |11⟩) / √2 using Hadamard and CNOT gates. Args: shots: Number of measurement shots (default: 1024) Returns: Binary string representing the measurement result Raises: RuntimeError: If quantum circuit execution fails """ try: qc = QuantumCircuit(2, 2) qc.h(0) # Create superposition qc.cx(0, 1) # Entangle qubits qc.measure([0, 1], [0, 1]) job = self.backend.run(transpile(qc, self.backend), shots=shots) result = job.result() counts = result.get_counts() # Return most probable result result_str = max(counts, key=counts.get) if counts else "00" logger.debug(f"Created entangled pair: {result_str}") return result_str except Exception as e: logger.error(f"Failed to create entangled pair: {e}") raise RuntimeError(f"Quantum entanglement failed: {e}") from e def ghz_state(self, n: int = 4, shots: int = config.default_shots) -> Dict[str, int]: """ Create a Greenberger-Horne-Zeilinger (GHZ) state. GHZ states are maximally entangled states of n qubits: |GHZ⟩ = (|0...0⟩ + |1...1⟩) / √2 Args: n: Number of qubits (default: 4) shots: Number of measurement shots (default: 1024) Returns: Dictionary mapping measurement outcomes to counts Raises: ValueError: If n is less than 2 or exceeds max_qubits RuntimeError: If quantum circuit execution fails """ if n < 2: raise ValueError(f"Number of qubits must be at least 2, got {n}") if n > config.max_qubits: raise ValueError(f"Number of qubits exceeds maximum of {config.max_qubits}") try: qc = QuantumCircuit(n, n) qc.h(0) # Create superposition on first qubit for i in range(n - 1): qc.cx(i, i + 1) # Entangle with next qubit qc.measure_all() job = self.backend.run(transpile(qc, self.backend), shots=shots) result = job.result() counts = result.get_counts() logger.debug(f"Created GHZ state with {n} qubits: {counts}") return counts except Exception as e: logger.error(f"Failed to create GHZ state: {e}") raise RuntimeError(f"GHZ state creation failed: {e}") from e def grover_search( self, n_qubits: int = 2, target: str = '11', iterations: Optional[int] = None, shots: int = config.default_shots ) -> str: """ Perform Grover's quantum search algorithm. Grover's algorithm provides a quadratic speedup for unstructured search. This implementation performs the optimal number of iterations based on the search space size. Args: n_qubits: Number of qubits (search space size = 2^n_qubits) target: Target binary string to search for (default: '11') iterations: Optional number of Grover iterations (auto-calculated if None) shots: Number of measurement shots (default: 1024) Returns: Binary string representing the measurement result Raises: ValueError: If target length doesn't match n_qubits or invalid target RuntimeError: If quantum circuit execution fails """ if len(target) != n_qubits: raise ValueError(f"Target length {len(target)} must match n_qubits {n_qubits}") if not all(bit in '01' for bit in target): raise ValueError(f"Target must be a binary string, got {target}") if n_qubits > config.max_qubits: raise ValueError(f"Number of qubits exceeds maximum of {config.max_qubits}") try: # Calculate optimal number of iterations if iterations is None: N = 2 ** n_qubits optimal_iterations = int(np.pi / 4 * np.sqrt(N)) iterations = max(1, optimal_iterations) qc = QuantumCircuit(n_qubits, n_qubits) # Initialize superposition for i in range(n_qubits): qc.h(i) # Grover iterations for _ in range(iterations): # Oracle: mark the target state self._apply_grover_oracle(qc, n_qubits, target) # Diffusion operator: amplify the marked state self._apply_grover_diffusion(qc, n_qubits) # Measure qc.measure(range(n_qubits), range(n_qubits)) job = self.backend.run(transpile(qc, self.backend), shots=shots) result = job.result() counts = result.get_counts() # Return most probable result result_str = max(counts, key=counts.get) if counts else target logger.debug(f"Grover search completed: {result_str} (target: {target})") return result_str except Exception as e: logger.error(f"Grover search failed: {e}") raise RuntimeError(f"Grover search failed: {e}") from e def _apply_grover_oracle(self, qc: QuantumCircuit, n_qubits: int, target: str) -> None: """ Apply Grover oracle to mark the target state. Args: qc: Quantum circuit to modify n_qubits: Number of qubits target: Target binary string to mark """ # Flip qubits that should be |1⟩ in target for i, bit in enumerate(target): if bit == '0': qc.x(i) # Apply multi-controlled Z gate (marks target state) if n_qubits == 1: qc.z(0) elif n_qubits == 2: qc.cz(0, 1) else: qc.h(n_qubits - 1) qc.mcx(list(range(n_qubits - 1)), n_qubits - 1) qc.h(n_qubits - 1) # Flip back for i, bit in enumerate(target): if bit == '0': qc.x(i) def _apply_grover_diffusion(self, qc: QuantumCircuit, n_qubits: int) -> None: """ Apply Grover diffusion operator to amplify marked state. Args: qc: Quantum circuit to modify n_qubits: Number of qubits """ # Apply H, X to all qubits for i in range(n_qubits): qc.h(i) qc.x(i) # Multi-controlled Z if n_qubits == 1: qc.z(0) else: qc.h(n_qubits - 1) qc.mcx(list(range(n_qubits - 1)), n_qubits - 1) qc.h(n_qubits - 1) # Apply X, H to all qubits for i in range(n_qubits): qc.x(i) qc.h(i) # ============================================================================ # 4D DATA STORAGE # ============================================================================ class HyperMemory: """ HyperMemory: 4D coordinate-based data storage system. Stores data at specific 4D spacetime coordinates, enabling quantum-enhanced search operations. Attributes: data: Dictionary mapping 4D coordinates to stored values """ def __init__(self) -> None: """Initialize empty HyperMemory storage.""" self.data: Dict[Tuple[float, ...], Any] = {} logger.debug("HyperMemory initialized") def store(self, coord: Tuple[float, ...], value: Any) -> None: """ Store a value at a specific 4D coordinate. Args: coord: 4D spacetime coordinate tuple (c*t, x, y, z) value: Value to store (any type) """ if not isinstance(coord, tuple) or len(coord) != 4: raise ValueError(f"Coordinate must be a 4-tuple, got {coord}") self.data[coord] = value logger.debug(f"Stored value at coordinate {coord}") def retrieve(self, coord: Tuple[float, ...]) -> Optional[Any]: """ Retrieve a value from a specific 4D coordinate. Args: coord: 4D spacetime coordinate tuple (c*t, x, y, z) Returns: Stored value if found, None otherwise """ if not isinstance(coord, tuple) or len(coord) != 4: raise ValueError(f"Coordinate must be a 4-tuple, got {coord}") value = self.data.get(coord, None) logger.debug(f"Retrieved value from coordinate {coord}: {value}") return value def search_nearby( self, center: Tuple[float, ...], radius: float = 1.0 ) -> Dict[Tuple[float, ...], Any]: """ Search for all stored values within a radius of a center coordinate. Args: center: Center 4D coordinate radius: Search radius Returns: Dictionary of coordinates and values within radius """ if not isinstance(center, tuple) or len(center) != 4: raise ValueError(f"Center must be a 4-tuple, got {center}") results = {} for coord, value in self.data.items(): distance = np.sqrt(sum((c - center[i]) ** 2 for i, c in enumerate(coord))) if distance <= radius: results[coord] = value logger.debug(f"Found {len(results)} items within radius {radius} of {center}") return results def clear(self) -> None: """Clear all stored data.""" self.data.clear() logger.debug("HyperMemory cleared") def size(self) -> int: """ Get the number of stored items. Returns: Number of items in storage """ return len(self.data) # ============================================================================ # FLASK APPLICATION # ============================================================================ app = Flask(__name__) # Global instances spacetime = Spacetime4D() quantum = QuantumCore() memory = HyperMemory() # Pre-populate memory with sample data for demonstration def initialize_memory() -> None: """Initialize HyperMemory with sample data.""" try: for i in range(4): pos = spacetime.move(0, float(i), 0.0, 0.0) memory.store(pos, np.random.randint(0, 100)) logger.info(f"Initialized HyperMemory with {memory.size()} items") except Exception as e: logger.warning(f"Failed to initialize memory: {e}") # ============================================================================ # API ENDPOINTS # ============================================================================ @app.route('/') def home() -> str: """ Home endpoint providing API documentation. Returns: HTML page with API documentation """ return """ TESSERACT-NODE v1.0

TESSERACT-NODE v1.0

4D Offline Quantum ServerONLINE

API Endpoints:

""" @app.route('/status') def status() -> Response: """ Get server status and current state. Returns: JSON response with server status information """ try: return jsonify({ "node": "Tesseract-Node Ω", "status": "4D OPERATIONAL", "timestamp": datetime.now().isoformat(), "position": spacetime.get_position(), "qubits": config.max_qubits, "offline": True, "memory_items": memory.size() }), 200 except Exception as e: logger.error(f"Status endpoint error: {e}") return jsonify({"error": "Failed to get status"}), 500 @app.route('/entangle') def entangle() -> Response: """ Create an entangled Bell pair. Query Parameters: shots (optional): Number of measurement shots (default: 1024) Returns: JSON response with entanglement result """ try: shots = int(request.args.get('shots', config.default_shots)) if shots < 1 or shots > 100000: return jsonify({"error": "Shots must be between 1 and 100000"}), 400 result = quantum.create_entangled_pair(shots=shots) return jsonify({ "bell_pair": result, "entanglement": "ACHIEVED", "shots": shots }), 200 except ValueError as e: logger.warning(f"Invalid parameter in entangle: {e}") return jsonify({"error": str(e)}), 400 except Exception as e: logger.error(f"Entangle endpoint error: {e}") return jsonify({"error": "Failed to create entangled pair"}), 500 @app.route('/ghz') def ghz() -> Response: """ Create a GHZ state. Query Parameters: n (optional): Number of qubits (default: 4, max: 16) shots (optional): Number of measurement shots (default: 1024) Returns: JSON response with GHZ state result """ try: n = int(request.args.get('n', 4)) shots = int(request.args.get('shots', config.default_shots)) if n < 2 or n > config.max_qubits: return jsonify({ "error": f"Number of qubits must be between 2 and {config.max_qubits}" }), 400 result = quantum.ghz_state(n=n, shots=shots) most_probable = max(result, key=result.get) if result else "0" * n return jsonify({ "ghz_state": most_probable, "qubits": n, "all_results": result, "shots": shots }), 200 except ValueError as e: logger.warning(f"Invalid parameter in ghz: {e}") return jsonify({"error": str(e)}), 400 except Exception as e: logger.error(f"GHZ endpoint error: {e}") return jsonify({"error": "Failed to create GHZ state"}), 500 @app.route('/move') def move() -> Response: """ Move through 4D spacetime. Query Parameters: dt: Time increment (required) dx: X spatial increment (default: 0) dy: Y spatial increment (default: 0) dz: Z spatial increment (default: 0) Returns: JSON response with new position """ try: dt = float(request.args.get('dt', 0)) dx = float(request.args.get('dx', 0)) dy = float(request.args.get('dy', 0)) dz = float(request.args.get('dz', 0)) pos = spacetime.move(dt, dx, dy, dz) return jsonify({ "new_position": pos, "coordinates": { "t": spacetime.t, "x": spacetime.x, "y": spacetime.y, "z": spacetime.z } }), 200 except ValueError as e: logger.warning(f"Invalid parameter in move: {e}") return jsonify({"error": "Invalid coordinate values"}), 400 except Exception as e: logger.error(f"Move endpoint error: {e}") return jsonify({"error": "Failed to move"}), 500 @app.route('/grover') def grover() -> Response: """ Perform Grover's quantum search algorithm. Query Parameters: n_qubits (optional): Number of qubits (default: 2, max: 16) target (optional): Target binary string (default: '11') shots (optional): Number of measurement shots (default: 1024) Returns: JSON response with search result """ try: n_qubits = int(request.args.get('n_qubits', 2)) target = request.args.get('target', '11') shots = int(request.args.get('shots', config.default_shots)) if n_qubits < 1 or n_qubits > config.max_qubits: return jsonify({ "error": f"Number of qubits must be between 1 and {config.max_qubits}" }), 400 result = quantum.grover_search(n_qubits=n_qubits, target=target, shots=shots) # Map result to memory coordinate (simplified mapping) index = int(result, 2) if result else 0 search_results = memory.search_nearby( center=(0.0, float(index), 0.0, 0.0), radius=10.0 ) return jsonify({ "search_result": result, "target": target, "n_qubits": n_qubits, "quantum_speedup": "ACHIEVED", "memory_results": search_results, "shots": shots }), 200 except ValueError as e: logger.warning(f"Invalid parameter in grover: {e}") return jsonify({"error": str(e)}), 400 except Exception as e: logger.error(f"Grover endpoint error: {e}") return jsonify({"error": "Failed to perform Grover search"}), 500 @app.route('/memory/search') def memory_search() -> Response: """ Search HyperMemory for items near a coordinate. Query Parameters: x: X coordinate (default: 0) y: Y coordinate (default: 0) z: Z coordinate (default: 0) t: Time coordinate (default: 0) radius: Search radius (default: 10.0) Returns: JSON response with search results """ try: x = float(request.args.get('x', 0)) y = float(request.args.get('y', 0)) z = float(request.args.get('z', 0)) t = float(request.args.get('t', 0)) radius = float(request.args.get('radius', 10.0)) center = (config.speed_of_light * t, x, y, z) results = memory.search_nearby(center, radius) return jsonify({ "center": center, "radius": radius, "results": {str(k): v for k, v in results.items()}, "count": len(results) }), 200 except ValueError as e: logger.warning(f"Invalid parameter in memory_search: {e}") return jsonify({"error": "Invalid coordinate values"}), 400 except Exception as e: logger.error(f"Memory search endpoint error: {e}") return jsonify({"error": "Failed to search memory"}), 500 @app.errorhandler(404) def not_found(error: Any) -> Response: """Handle 404 errors.""" return jsonify({"error": "Endpoint not found"}), 404 @app.errorhandler(500) def internal_error(error: Any) -> Response: """Handle 500 errors.""" logger.error(f"Internal server error: {error}") return jsonify({"error": "Internal server error"}), 500 # ============================================================================ # BACKGROUND DRIFT # ============================================================================ def drift() -> None: """ Background thread that simulates continuous spacetime drift. Periodically moves the spacetime coordinates by small random amounts to simulate natural drift in 4D space. """ while True: try: time.sleep(config.drift_interval) dt = 1.0 dx = float(np.random.randn() * 0.1) dy = float(np.random.randn() * 0.1) dz = float(np.random.randn() * 0.1) spacetime.move(dt, dx, dy, dz) logger.debug(f"[4D DRIFT] Position: {spacetime.get_position()}") except Exception as e: logger.error(f"Drift thread error: {e}") time.sleep(config.drift_interval) # ============================================================================ # MAIN ENTRY POINT # ============================================================================ def main() -> None: """Main entry point for the Tesseract Node server.""" setup_logging(config.log_level) logger.info("=" * 60) logger.info("TESSERACT-NODE v1.0 — 4D CORE INITIALIZING") logger.info("=" * 60) # Initialize memory initialize_memory() # Start background drift thread drift_thread = threading.Thread(target=drift, daemon=True, name="DriftThread") drift_thread.start() logger.info("Background drift thread started") # Start Flask server logger.info(f"Starting server on http://{config.host}:{config.port}") logger.info("=" * 60) try: app.run( host=config.host, port=config.port, debug=config.debug, threaded=True ) except KeyboardInterrupt: logger.info("\nShutting down TESSERACT-NODE...") except Exception as e: logger.error(f"Server error: {e}") raise if __name__ == '__main__': main()