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| import numpy as np | |
| from typing import List, Dict | |
| from qiskit import QuantumCircuit | |
| from quantum_perceptron.utils.data_utils import ( | |
| get_possible_state_strings, | |
| get_ones_counts_to_states | |
| ) | |
| def append_hypergraph_state( | |
| circuit: QuantumCircuit, | |
| data_vector: np.ndarray, | |
| states: np.ndarray, | |
| ones_count: Dict[int, List[int]], | |
| num_qubits: int) -> QuantumCircuit: | |
| """ | |
| Append the computed hypergraph state to the circuit. | |
| Args: | |
| circuit: `QuantumCircuit` object corresponding to the perceptron. | |
| data_vector: `np.ndarray` containing the data vector containing -1s & 1s. | |
| states: `list` of `str` containing the bit strings for states. | |
| ones_count: `dict` containing mapping of the count of ones with | |
| index of states | |
| num_qubits: `int` denoting total number of qubits in the circuit. | |
| Returns: `QuantumCircuit` object denoting the circuit containing | |
| hypergraph states. | |
| """ | |
| is_sign_inverted = [1] * len(data_vector) | |
| # Flipping all signs if all zero state has coef -1. | |
| if data_vector[0] == -1: | |
| for i in range(len(data_vector)): | |
| data_vector[i] *= -1 | |
| for ct in range(1, num_qubits + 1): | |
| for i in ones_count.get(ct, []): | |
| if data_vector[i] == is_sign_inverted[i]: | |
| state = states[i] | |
| ones_idx = [j for j, x in enumerate(state) if x == '1'] | |
| if ct == 1: | |
| circuit.z(ones_idx[0]) | |
| elif ct == 2: | |
| circuit.cz(ones_idx[0], ones_idx[1]) | |
| else: | |
| circuit.mcrz( | |
| -np.pi, | |
| [circuit.qubits[j] for j in ones_idx[1:]], | |
| circuit.qubits[ones_idx[0]] | |
| ) | |
| for j, state in enumerate(states): | |
| is_one = np.array([bit == '1' for bit in state]) | |
| if np.all(is_one[ones_idx]): | |
| is_sign_inverted[j] *= -1 | |
| return circuit | |
| def create_hypergraph_state(circuit: QuantumCircuit, | |
| data_vector: np.ndarray, | |
| num_qubits: int) -> QuantumCircuit: | |
| """ | |
| Creating hypergraph state for specific data vector corresponding to | |
| the provided data (input or weight value). | |
| It is as per https://arxiv.org/abs/1811.02266. | |
| Args: | |
| circuit: `QuantumCircuit` object corresponding to the perceptron. | |
| data_vector: `np.ndarray` containing the data vector containing -1s & 1s. | |
| num_qubits: `int` denoting total number of qubits in the circuit. | |
| Returns: `QuantumCircuit` object denoting the circuit containing | |
| hypergraph states. | |
| """ | |
| states = get_possible_state_strings(num_qubits) | |
| ones_count = get_ones_counts_to_states(states) | |
| return append_hypergraph_state( | |
| circuit, | |
| data_vector, | |
| states, | |
| ones_count, | |
| num_qubits | |
| ) | |