Foundations · Michael Nielsen

The controlled-NOT gate

Name: The controlled-NOT gate
Uploaded: 2010-11-24
Description: A two-qubit gate makes the circuit story more interesting. Michael Nielsen introduces controlled-NOT within his mathematical learning sequence. It is a useful step from operations on one qubit toward Bell states and communication protocols. Familiarity with the basic state and gate notation will help.

Original upload Nov 24, 2010

Engineers installing an IBM Quantum System One cryogenic assembly at Fraunhofer

Context photo · Holger Muench / IBM · CC BY 2.0

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Engineers install IBM Quantum System One at Fraunhofer. Archival quantum-computing context, not a video frame or the apparatus of another study.

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A two-qubit gate makes the circuit story more interesting. Michael Nielsen introduces controlled-NOT within his mathematical learning sequence. It is a useful step from operations on one qubit toward Bell states and communication protocols. Familiarity with the basic state and gate notation will help.

Video by Michael Nielsen. Added to QubitWire September 29, 2026.

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