How deeply does Quantum Programming in Depth cover CNOT gate?

Defines control-dependent behavior and extends it to superpositions through linearity, without discussing circuit implementation.

CNOT gate

As explained in Quantum Programming in Depth

A CNOT gate is a two-qubit controlled-NOT gate that flips a target qubit when its control qubit is one.

A CNOT gate is a two-qubit controlled-X operation. With the left qubit as control, it flips the right target only when the control is |1⟩; otherwise, it leaves the state unchanged. section 2.3.1

Basis and superposition states

The transformations are CNOT|10⟩ = |11⟩, CNOT|11⟩ = |10⟩, CNOT|00⟩ = |00⟩, and CNOT|01⟩ = |01⟩. By linearity, CNOT(α|10⟩ + β|01⟩) = α|11⟩ + β|01⟩. section 2.3.1

How Quantum Programming in Depth covers it

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Related concepts

logical XORimplements · Logical XOR is a binary operation that produces true when exactly one operand is true and false when both operands have the same truth value.
parity measurementused by · A parity measurement is a quantum measurement that determines whether the combined bit values of a computational-basis state have even or odd parity.
controlled quantum operationkind of · A controlled quantum operation is a quantum operation applied to target systems only when specified control qubits have required states.
unitary gate synthesisused by · Unitary gate synthesis is the construction of a quantum-gate sequence that implements a specified unitary transformation, possibly approximately.

This explainer was generated by Manning's knowledge graph from the text of Quantum Programming in Depth. The section links point to the parts of the book it draws on.