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7 results for “gate”

Formulae (7)

Y = A \cdot B

Output is 1 only when both inputs are 1.

Y = A + B

Output is 1 if either input is 1.

Y = A \oplus B

Output is 1 when inputs differ.

\text{Attn}(Q,K,V)=\text{softmax}\!\left(\dfrac{QK^\top}{\sqrt{d_k}}\right)V

Lets each token weigh and aggregate information from all others — the heart of Transformers.

H = \frac{1}{\sqrt{2}}\begin{pmatrix} 1 & 1 \\ 1 & -1 \end{pmatrix}

Puts a qubit into an equal superposition — the most common single-qubit gate.

X = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}

Flips |0⟩ to |1⟩ and vice versa — the quantum equivalent of a classical NOT gate.

CNOT = \begin{pmatrix} 1&0&0&0 \\ 0&1&0&0 \\ 0&0&0&1 \\ 0&0&1&0 \end{pmatrix}

Two-qubit gate that flips the target qubit only when the control qubit is |1⟩.