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Python library with miscellaneous tools to be used in conjunction with the qonic framework

Project description

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qonic-misc Python Library:

Python library with miscellaneous tools to be used in conjunction with the qonic framework

To install: pip3 install qonic_misc

Includes:

  • qonic_misc.RotationConversions:

    • operator_to_updated_state(operator, theta_init, phi_init)

      Description:

      • this function takes a quantum operator (corresponding to a qbit gate), and the initial qbit state defined by the angles theta and phi
      • theta and phi define the state based on some point on the bloch sphere in spherical coordinates
      • the statevector of the qbit is defined as [cos(theta/2), sin(theta/2) e^(i phi)]
      • the function returns the state after being acted on by the gate (in terms of the new theta and phi values)

      Parameters:

      • operator <type 'list'>: linear, hermitian matrix representing the quantum operator
      • theta_init <type 'float'>: initial value for the theta component of the quantum state (must be between 0.0 and pi/2)
      • phi_init <type 'float'>: initial value for the phi component of the quantum state (must be between 0.0 and pi/2)

      Returns:

      • [theta_updated, phi_updated] <type 'list'>: list storing the updated values for theta and phi after being operated on by 'operator'

      Example:

        >>> rc = qonic_misc.RotationConversions()
        >>> pauli_z = [[1, 0], [0, -1]] # pauli z gate
        >>> print(rc.operator_to_updated_state(pauli_z, 1, 1)) # operate on the initial state of ['theta': 1, 'phi': 1]
        [-1.0, 1.0]
      
    • operator_to_rotation(operator, print_optimization_loss=False, epochs=300, num_of_vectors=3) Description:

      • this function takes a quantum operator (corresponding to a qbit gate)
      • the function uses tensorflow to find the spacial rotations along the x, y, and z axes of the bloch sphere that corresponds to the operator acting on a qbit state state

      Parameters:

      • operator <type 'list'>: linear, hermitian matrix representing the quantum operator
      • print_optimization_loss=False <type 'bool'>: boolean value that determines if the function will print out the loss of the tf model as it optimizes to find the spacial rotations
      • epochs=300 <type: 'int'>: number of epochs that the tf model will optimize for
      • num_of_vectors=3 <type 'int'>: number of quantum statevectors that the tf model will optimize for (higher means more accurate but slower, lower means less accurate but faster)

      Returns:

      • [RotX, RotY, RotZ] <type 'list'>: list storing the spacial rotations along each axis corresponding to the passed operator

      Example:

        >>> rc = qonic_misc.RotationConversions()
        >>> pauli_z = [[1, 0], [0, -1]] # pauli z gate
        >>> print(rc.operator_to_rotation(pauli_z)) # solve for the spacial rotation of the pauli z gate
        [0.0, 0.0, 3.14159]
      
  • qonic_misc.OperatorChecker: tool for evaluating operators

    • check_hermitian(operator)

      Description:

      • this function takes a 2 by 2 operator matrix and checks to see if it is hermitian (equal to its transposed conjugate)
      • this is useful because all qbit operators corresponding to quantum logic gates must be hermitian

      Parameters:

      • operator <type 'list'>: matrix representing the quantum operator

      Returns:

      • hermitian <type 'bool'>: boolean value storing if the passed matrix is hermitian

      Example:

        >>> oc = qonic_misc.OperatorChecker
        >>> pauli_z = [[1, 0], [0, -1]] # pauli z gate
        >>> print(oc.check_hermitian(pauli_z)) # check to see if the pauli z gate is hermitian
        True
      
    • check_unitary(operator)

      Description:

      • this function takes a 2 by 2 operator matrix and checks to see if it is unitary (produces the identity matrix when multiplied by its transposed conjugate)
      • this is useful because all qbit operators corresponding to quantum logic gates must be unitary

      Parameters:

      • operator <type 'list'>: matrix representing the quantum operator

      Returns:

      • unitary <type 'bool'>: boolean value storing if the passed matrix is unitary

      Example:

        >>> oc = qonic_misc.OperatorChecker
        >>> pauli_z = [[1, 0], [0, -1]] # pauli z gate
        >>> print(oc.check_unitary(pauli_z) # check to see if the pauli z gate is unitary
        True
      

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