qtypi

qtypi is a Python library for performing quantum computations using linear algebra. It provides tools to create and manipulate quantum states and apply quantum gates.

Table of Contents

• Installation
• Creating Quantum States
• Applying Quantum Gates
• Available Quantum Gates
• Example Usage
  • Creating and Applying Gates
  • Custom Quantum Gates
  • Creating the |+> State
• License

Installation

You can install qtypi using pip:

pip install qtypi

Creating Quantum States

To create a quantum state, instantiate the QuantumState class by passing a state vector (as a list or numpy array).

from qtypi.quantum_state import QuantumState

# Create the |0> state
state_zero = QuantumState([1, 0])

# Create the |1> state
state_one = QuantumState([0, 1])

Applying Quantum Gates

Quantum gates can be applied to quantum states using the apply_gate method of the QuantumState class. The library includes commonly used gates, such as Hadamard, Pauli-X, Pauli-Y, Pauli-Z, Phase, and CNOT gates.

from qtypi.quantum_gates import QuantumGate

# Create a Hadamard gate
hadamard_gate = QuantumGate.hadamard()

# Apply the Hadamard gate to the |0> state
new_state = state_zero.apply_gate(hadamard_gate)

print(new_state)

Available Quantum Gates

The following gates are available as static methods in the QuantumGate class:

• Hadamard Gate: QuantumGate.hadamard()
• Pauli-X Gate: QuantumGate.pauli_x()
• Pauli-Y Gate: QuantumGate.pauli_y()
• Pauli-Z Gate: QuantumGate.pauli_z()
• Phase Gate: QuantumGate.phase(theta)
• CNOT Gate: QuantumGate.cnot()
• Custom Gate: QuantumGate.custom_gate(matrix)

Example Usage

Creating and Applying Gates

Here’s a complete example of creating a quantum state, applying a Hadamard gate, and printing the result:

from qtypi.quantum_state import QuantumState
from qtypi.quantum_gates import QuantumGate

# Initialize the |0> state
state = QuantumState([1, 0])

# Create a Hadamard gate
hadamard_gate = QuantumGate.hadamard()

# Apply the Hadamard gate to the |0> state
new_state = state.apply_gate(hadamard_gate)

# Print the resulting quantum state
print("New State after applying Hadamard:", new_state)

Custom Quantum Gates

You can create and apply custom quantum gates using a matrix of your choice. For example:

import numpy as np
from qtypi.quantum_state import QuantumState
from qtypi.quantum_gates import QuantumGate

# Define a custom matrix
custom_matrix = np.array([[0, 1], [1, 0]])  # Equivalent to Pauli-X gate

# Create the custom gate
custom_gate = QuantumGate.custom_gate(custom_matrix)

# Apply it to a |0> state
state = QuantumState([1, 0])
new_state = state.apply_gate(custom_gate)

print("New State after applying custom gate:", new_state)

License

This project is licensed under the MIT License. See the LICENSE file for more details.