menter man

In quantum mechanics, it is fundamental to treat entities as vectors rather than in terms of coordinate space. Consequently, one could naturally consider this a complex space. We have $\cos(\theta, \phi) + i \sin(\theta, \phi) = z$, where $\cos^2(\theta, \phi) + \sin^2(\theta, \phi) = 1$. It is also possible to define discrete functions for vectors based on the multi-valued logic of the expression $M/N - 1$. Various logical formulas are illustrated in the diagram.

import numpy as np class QuantumClassicalInterpreter: def __init__(self, n_levels=2): """n_levels: 2ならqubit、3以上ならqdit。偶数・奇数どちらでも可""" self.n = n_levels self.dim = n_levels self.state = np.zeros(self.dim, dtype=complex) self.state[0] = 1.0 # |0> 初期状態 self.history = [] def normalize(self): norm = np.linalg.norm(self.state) if norm > 0: self.state /= norm def apply_hadamard_like(self): """多値対応の一般化Hadamard（Fourier）""" H = np.fft.fft(np.eye(self.dim)) / np.sqrt(self.dim) self.state = H @ self.state self.normalize() self.history.append("Hadamard-like") def entangle_with_classical(self, classical_value): """古典多値論理値と量子状態をエンタングル（簡易モデル）""" phase = 2 * np.pi * classical_value / self.n self.state *= np.exp(1j * phase * np.arange(self.dim)) self.normalize() self.history.append(f"Entangle classical={classical_value}") def reflected_matrix(self, vector=None): """Reflected Matrix [RM] を生成（Householder風反射）""" if vector is None: vector = self.state.copy() v = vector / np.linalg.norm(vector) I = np.eye(self.dim) RM = I - 2 * np.outer(v, v.conj()) self.history.append("Generated Reflected Matrix") return RM def measure(self): probs = np.abs(self.state)**2 outcome = np.random.choice(self.dim, p=probs) self.state = np.zeros(self.dim, dtype=complex) self.state[outcome] = 1.0 self.history.append(f"Measured: {outcome}") return outcome def run_demo(self): print("=== 量子-古典統合インタプリタ デモ ===") print(f"レベル数 (qubit/qdit): {self.n}") self.apply_hadamard_like() self.entangle_with_classical(classical_value=1) # 古典多値入力 rm = self.reflected_matrix() print("\n生成された Reflected Matrix:") print(np.round(rm, 3)) result = self.measure() print(f"\n測定結果: {result}") print("操作履歴:", self.history) # 使用例（qubitの場合） interp_qubit = QuantumClassicalInterpreter(n_levels=2) interp_qubit.run_demo() print("\n" + "="*50 + "\n") # 使用例（qdit / 多値論理の場合、奇数でも偶数でも可） interp_qdit = QuantumClassicalInterpreter(n_levels=3) interp_qdit.run_demo()

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