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Quantum Circuits, Algorithms, and Industry · Módulo 3/8: Quantum Gates and Circuit Design

Objetivos de aprendizaje
  • Explain the core ideas in quantum gates and circuit design.
  • Apply the concepts to a small circuit or business/technical evaluation.
  • Identify limitations and appropriate benchmarks.
Toca Siguiente (o usa las teclas de flecha) para avanzar idea por idea. Al final te espera una verificación fija de tres preguntas: el punto de control del curso, con las mismas preguntas en cada intento. La ← en la parte superior te permite salir cuando quieras; el progreso se guarda.

Single-qubit gates

X flips |0⟩ and |1⟩. Z changes the phase of |1⟩. H creates or recombines equal superpositions. S and T apply phase rotations. Rx, Ry, and Rz provide continuous rotations.

Gates transform amplitudes and phase through unitary matrices.

Controlled gates

CNOT flips a target when the control is |1⟩. Combined with H, it creates a Bell state. Controlled operations are central to entanglement, arithmetic, phase kickback, and error correction.

Two-qubit gates create conditional structure and are usually noisier than single-qubit gates.

Circuit depth and compilation

A logical circuit must be mapped to the device's native gate set and connectivity. Compilation inserts swaps, decomposes gates, and optimizes depth. Hardware-aware compilation can determine whether a circuit is practical.

The same abstract algorithm can perform very differently after hardware mapping.

Applied activity

Complete a simulator or analysis exercise: reproduce the lesson's central example, record assumptions and outputs, and explain one source of error or limitation.

Verificación del módulo: Quantum Gates and Circuit Design

3 preguntas: generadas de nuevo desde el banco en cada intento. Nota mínima 60%. Intentos ilimitados.

Leer el texto completo de la lección

1. Single-qubit gates

X flips |0⟩ and |1⟩. Z changes the phase of |1⟩. H creates or recombines equal superpositions. S and T apply phase rotations. Rx, Ry, and Rz provide continuous rotations.

Gates transform amplitudes and phase through unitary matrices.

2. Controlled gates

CNOT flips a target when the control is |1⟩. Combined with H, it creates a Bell state. Controlled operations are central to entanglement, arithmetic, phase kickback, and error correction.

Two-qubit gates create conditional structure and are usually noisier than single-qubit gates.

3. Circuit depth and compilation

A logical circuit must be mapped to the device's native gate set and connectivity. Compilation inserts swaps, decomposes gates, and optimizes depth. Hardware-aware compilation can determine whether a circuit is practical.

The same abstract algorithm can perform very differently after hardware mapping.

4. Applied activity

Complete a simulator or analysis exercise: reproduce the lesson's central example, record assumptions and outputs, and explain one source of error or limitation.

Quantum, But Friendly

How Small Is Small?The Spinning CoinBit vs QubitSpooky Friends Prueba final

Inside a Quantum Computer

The Golden ChandelierHow It ThinksGood At, Bad At Prueba final

Quantum in the Real World

Quantum You Already OwnThe Great Quantum RaceFollowing the Quantum Money Prueba final

La Academia

Quantum Computing FoundationsQuantum Circuits, Algorithms, and IndustryFault-Tolerant Quantum Computing and Technical Strategy El currículo completo

Respuestas rápidas

GlosarioFAQ Recursos adicionalesPregunta a Quantum Noticias cuánticas