+41 votes
in Quantum Information by
edited by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
+37 votes
by

Quantum computers can perform multiple calculations simultaneously due to a phenomenon called superposition. In classical computers, information is stored in bits, which can be in one of two states: 0 or 1. However, in quantum computers, information is stored in qubits, which can exist in a superposition of states, representing both 0 and 1 simultaneously.

Superposition allows a quantum computer to represent and manipulate multiple states simultaneously. For example, if you have two qubits, they can be in a superposition of four states: 00, 01, 10, and 11, all at the same time. As you add more qubits, the number of possible superposition states grows exponentially. With n qubits, you can represent 2^n states simultaneously.

Quantum algorithms exploit this ability to perform calculations in parallel by encoding information across a large number of superposition states. By applying quantum gates and operations to these superposition states, a quantum computer can perform computations on all possible combinations of input values simultaneously.

However, it's important to note that extracting the final result from a quantum computer still requires a measurement, which collapses the superposition into a specific classical state. The result obtained from a measurement is probabilistic, and multiple measurements may be needed to gather statistical information about the quantum system.

Quantum parallelism is a fundamental concept that allows quantum algorithms, such as Shor's algorithm for factoring large numbers and Grover's algorithm for searching unsorted databases, to achieve computational speedups compared to classical algorithms. By harnessing the power of superposition, quantum computers have the potential to solve certain problems more efficiently than classical computers.

Welcome to Physicsgurus Q&A, where you can ask questions and receive answers from other members of the community.
...