Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Quantum Fourier Transform Circuit

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A quantum circuit (sometimes called a quantum network or a quantum gate array) consists of wires and logic gates. It can be represented by a × unitary matrix, where is the number of qubits. We want to factor this matrix, representing it as scalar and tensor (Kronecker) products of simpler one-qubit and two-qubit matrices.

[more]

The input register of the quantum Fourier transform (QFT) circuit contains -qubit basis states that can be written as the Kronecker product of the binary states. The Hadamard gate operates on the single qubit. The controlled gate is represented by the unitary matrix . The output qubits are expressed in the general form , where is a binary fraction. The final result of QFT is obtained after swapping the output qubits (not shown here) and taking the Kronecker product. For the three-qubit case the final answer is

[less]

Contributed by: Rudolf Muradian (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send