Fig. 1 displays the increasing prevalence of quantum computing qubits throughout the tech era. It's projected to only increase further, which proves the desirability of its technology in contemporary logic, with more and more complexities that qubits can simplify, compared to classical bits. This increases the efficiency of quantum computing, an already extremely efficient method given that they can perform certain functions exponentially and more experimentally. Since the qubits before collapse can exist in superposition, they can explore more paths before collapse leading to increased speed and efficiency. An example I'm not very knowledgeable in, is cybersecurity; there are instances of this being useful as we can try out more unique keys to break encryption.

In binary representation, 0s and 1s are typically used to represent data and information instead of human-accessible words and numbers. The use of voltage and charge in electronic computers and gadgets, which increases efficiency and simplicity, enables quicker processing. Superposition is a notion used in quantum computing to construct quantum bits that can simultaneously represent 0s and 1s. These qubits live in a superposition where they are both states at once. This characteristic makes some calculations that classical computers can't handle exponentially faster than quantum computers. Adding qubits makes this exponential process even better and more efficient, but that leads to more and more error and decoherence which we will get into later.

Mathematically, a qubit can be represented as:

|ψ⟩ = α|0⟩ + β|1⟩,

where the probabilities of the qubit being in the states |0⟩ (ket-0) and |1⟩ (ket-1), respectively, are represented by the complex numbers α and β. When the qubit is detected, the odds of measuring 0 or 1 collapse to |α|^2 and |β|^2, respectively. To clarify, a ket is just the symbol used to signify a quantum mechanical symbol that encodes the state of a system. That symbol is the  ψ of the equation displayed above. This is not a very nuanced equation, and can be understood simply as the quantum state being the sum of the probabilities of each state.