why do we compute statistics? — In this article, we explore the different aspects of inferential statistics. Setup: why do we compute statistics? to describe the sample to estimate population parameters. to test hypotheses We have used the descriptive statistics to describe the sample, which is a subset of the population and also we discussed different…

How randomness works in the system? — In this article, we explore the different aspects of probability theory. Setup: A sampling strategy is said to be truly random(unbiased) if every element in the population has an equal chance of becoming a part of the sample. The branch of Mathematics that deals with the chances and probability is…

What is the need of descriptive statistics? — In this article, we explore the different aspects of descriptive statistics. Setup: Statistics is the science of collecting, describing and drawing inferences from data. A population is the total collection of all objects that we are interested in studying. A sample is the total collection of all objects that we…

How to find the optimal portfolio for the given stocks? — In this article, we discuss about portfolio optimization to select the optimal solution using classical approach and IBM Qiskit library with Variational approach. Setup: Financial analysis is a critical tool to optimize investments in securities. It directly affects the quality of investment decisions made by an entity. One such area…

How to find the optimized path for the TSP using Quantum computing? — In this article, we discuss about travelling salesman problem and we solve the problem to find the optimized route using variational method. Setup: To solve this problem we convert the problem similar to graph coloring problem. The traveling salesman problem (TSP) is to find a routing of a salesman who…

How to solve graph coloring using Quantum computation — In this article, we discuss about the application of the variational method we discussed in the previous article. we study the Graph coloring problem by using classical computation technique and also we explore quantum solution with a 5 step process and we walk through the QUBO Matrix generation. We achieve…

Equality, Inequality and constant P — In this article, we discuss about the quadratic Loss and it’s corresponding constraints to apply penalty over the QUBO problem. Also we discuss about the importance of the constant P. convert any constraint in to the form (expression) ≤ 0 f(x) -> 𝑥 ≤ 5 becomes: 𝑥–5 ≤ 0 If…

The journey from ising model to quantum variational methods — In this article, we discuss about Ising Model, Quadratic Unconstrained Binary Optimization (QUBO) model, similarities between ising and QUBO model, Adiabatic theorem, QUBO model to Quantum Variational Methods. Ising Model: Ising Model is used to study phase transition in Magnetic systems. phase transition means interaction of near by spins.

How to perform decomposition of a matrix exponential? — In the previous article, we have discussed about the Schrodinger Wave Equation and mathematical framework. In this article, we discuss about how to decompose a Matrix exponential in the case of commutative and non-commutative. Also we have a look at the simple Quantum Approximation Algorithm. Setup: Decompose the Hamiltonian operator…