[SOLVED] Quantum-Computing Lab 1

Section 1
Working with Python in Colab Open your Google Account here https://colab.research.google.com
(Refer the video for additional functionalities of Colab https://www.youtube.com/watch?v=rNgswRZ2C1Y) Students can refer to https://www.pythonpool.com/python-vector/ or any other website to learn how to use vectors in Python. • Import NumPy and math package.
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• Create variables by considering a = 1/ 2 and b = 1/ 2
• Create a vector or One-dimensional array using variables a and b.
• Check whether the vector is normalized or not. Vector is normalized if a2 + b2 = 1 in this particular case.
• Find the length of a vector.
Section 2
Vector in Python Create a new notebook and add the following functionalities in the Colab notebook:
• Create a vector and read the elements of the vector from the keyboard.
• Write a function that will check whether the function is normalized or not.
• Write a function to find the dot and cross product of two vectors (A and B) using NumPy.
• Write a function to find a unit vector corresponding to vector A.
Section 3
Matrices in Python Create a new notebook and add the following functionalities in the Colab notebook using NumPy:
• Read a matrix from the Keyboard.
• Find the transpose of a matrix.
• Find the Determinant of a matrix ( Using linalg.det in NumPy).
• Find Rank of a matrix ( Using linalg.matrixrank in numpy).
• Find Trace of the matrix
• Find Eigenvalue and Eigenvectors of a square matrix (Use linalg.eig).
• Find the Inverse of a matrix.
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Section 4
Complex Number in Python Refer to https://realpython.com/python-complex-numbers/using-pythoncomplex-numbers-as-2d-vectors or any other site to read how to use complex numbers in python. for Create a new notebook and add the following functionalities in the Colab notebook:
• Read a complex number from the keyboard.
• Find the complex conjugate of the complex number.
• Addition, subtraction, multiplication, and divisions of complex numbers.
• understands the concept of a complex number as a 2D vector.
• Find the length or magnitude of a complex number.
Section 5
Account Creation on IBM Q Experience Create your login id https://quantum-computing.ibm.com/
• After Login, go through the interface with the following two options:
– Launch Composer: working with IBM composer (Drag and drop Options).
– Working with IBM Qiskit (refer to https://qiskit.org/textbook/content/ch-ex/)
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