Data in quantum computers are represented by qubits - elementary units of quantum information.
Data in quantum computers are represented by qubits - elementary units of quantum information.
Unlike classical bits, each qubit can be in a superposition of base states 0 and 1, meaning that only by measuring it will a specific binary value be determined. Another property of quantum systems is the ability to create entanglement between multiple qubits, making it possible to increase the computational space exponentially.
![](https://quantum.psnc.pl/wp-content/uploads/2023/11/Kubit.png)
The base states |0〉and |1〉can be represented as two-dimensional vectors in a two-dimensional space. They are customarily denoted as:
![](https://quantum.psnc.pl/wp-content/uploads/2023/11/Frame-5845.png)
and are the orthonormal basis vectors of the Hilbert space.
A single cubit |ψ〉 can be a composite of base states |0〉and |1〉:
![](https://quantum.psnc.pl/wp-content/uploads/2023/11/Group-5881.png)
Where α and β are the complex amplitudes of the individual states. The normalization condition applies to them:
![](https://quantum.psnc.pl/wp-content/uploads/2023/11/Group-5882.png)