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Become a space tourist without getting up! Turn your desktop into a beautiful aquarium! A true atmosphere of haunted Halloween! Pay a visit to the beautiful Harvest Time Farms! Enter the characters you see below Sorry, we just need to make sure you’re not a robot. This article needs additional citations for verification. Unlike many classical logic gates, quantum logic gates are reversible.

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However, it is possible to perform classical computing using only reversible gates. For example, the reversible Toffoli gate can implement all Boolean functions, often at the cost of having to use ancillary bits. Quantum logic gates are represented by unitary matrices. The most common quantum gates operate on spaces of one or two qubits, just like the common classical logic gates operate on one or two bits.

The base vectors are the possible outcomes if measured, and a quantum state is a linear combination of these outcomes. Quantum gates are usually represented as matrices. A gate which acts on k qubits is represented by a 2k x 2k unitary matrix. The number of qubits in the input and output of the gate have to be equal.

The action of the gate on a specific quantum state is found by multiplying the vector which represents the state by the matrix representing the gate. The Hadamard gate acts on a single qubit. The Hadamard gate is the one-qubit version of the quantum fourier transform. I is the identity matrix, H is indeed a unitary matrix.