Do You Struggle With The Quantum Superposition? In this post, we have a closer look at the quantum superposition and how its state determines whether we will measure the qubit as 0 or 1.

This post is part of the book: **Hands-On Quantum Machine Learning With Python****.**

A classical bit can be either `0`

or `1`

. A quantum bit (called a qubit), by contrast, can be in a state of superposition. The quantum superposition is a linear combination of `0`

and `1`

. But the qubit can only be in a superposition as long as you don’t measure it. Once you measure your qubit, it instantly collapses to either `0`

or `1`

. Just like a classical bit.

In this post, we have a closer look at the quantum superposition and how its state determines whether we will measure the qubit as `0`

or `1`

.

There are two possible measurements of a qubit: `0`

and `1`

. Therefore, the qubit is a two-dimensional quantum system. Each dimension is denoted by a standard basis vector. In quantum computing, we use the Dirac notation. It represents a column vector by the ket that looks like “|ψ⟩”:

The state of the qubit is represented by the superposition of both dimensions. This is the qubit state vector |ψ⟩ (“psi”).

α and β are the probability amplitudes of the states |0⟩ and |1⟩. Their squares denote the probabilities of measuring the qubit as `0`

(given by α^2) or `1`

(β^2) respectively.

programming python computer-science mathematics data-science

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