Intermediate Topic 25 of 51 Emerging & Frontier Topics
Quantum Gates
Reversible operations acting on qubits.
How it works
Quantum gates are unitary operations on qubits, represented by matrices that preserve total probability and are always reversible. Single-qubit gates include X, which flips 0 and 1, Z, which flips the sign of the 1 amplitude, H, which creates superposition, and rotation gates by arbitrary angles. The two-qubit CNOT flips a target qubit when a control qubit is 1 and creates entanglement together with H. Toffoli and Fredkin gates act on three qubits. A circuit applies gates in sequence to qubits and ends with measurement, and small sets such as H, T and CNOT are universal, approximating any operation.
Where it is used
Gates are the building blocks of every quantum algorithm and of circuit design in toolkits such as Qiskit and Cirq.
Common pitfall
Real gates have errors, so deep circuits accumulate noise, and compiling to hardware connectivity adds extra operations. Keep circuits shallow and use error mitigation.
Where it fits in the course
Quantum Gates is topic 25 of 51 in Emerging & Frontier Topics, rated Intermediate. It follows Qubits and Superposition. The next topic is Entanglement.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Emerging & Frontier Topics quiz.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Emerging & Frontier Topics quiz, and revisit the topic if you miss a question.
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Related topics
- Qubits and Superposition (Emerging & Frontier Topics)
- Entanglement (Emerging & Frontier Topics)
- Quantum Computing Basics (Emerging & Frontier Topics)
- Shor's Algorithm (Emerging & Frontier Topics)
- Logic Gates (Computer Architecture & Logic)
- Post-Quantum Cryptography (Security & Cryptography)