Define a qubit and describe its fundamental properties.

Definition of a Qubit and Its Fundamental Properties: A qubit, short for "quantum bit," is the fundamental unit of information in quantum computing and quantum information theory. Unlike classical bits, which can represent either a 0 or a 1, qubits possess unique properties derived from the principles of quantum mechanics, enabling them to exist in superposition and entanglement states. Here, we will define a qubit and delve into its fundamental properties: 1. Superposition: A qubit can exist in a superposition of states. This means that, unlike classical bits that have a definite value (either 0 or 1), a qubit can simultaneously represent both 0 and 1 or any quantum superposition of these states. Mathematically, a qubit state |ψ⟩ can be expressed as |ψ⟩ = α|0⟩ + β|1⟩, where α and β are complex probability amplitudes, and |0⟩ and |1⟩ represent the basis states. 2. ....