quantum gate directory
Quantum gates are the fundamental building block of quantum computation. This website aims to provide information regarding quantum gates seen in literature, and in practice in building quantum computers.
Periodic Table of Gates
Each cell shows the gate symbol with its
arity and quDit dimension in the top right (e.g. 2q2d for a
two-qubit gate).
2q2d
$\mathrm{C}X$
Controlled Not
3q2d
$\mathrm{CSWAP}$
Fredkin
2q2d
$ECR$
Echoed Cross-Resonance
1q2d
$H$
Hadamard
nq2d
$I$
Identity
2q2d
$i\mathrm{SWAP}$
iSWAP
nq2d
$MS$
Mølmer-Sørensen
nqpd
$O_f$
Oracle
1q2d
$X$
Pauli-X
1q2d
$Y$
Pauli-Y
1q2d
$Z$
Pauli-Z
nqpd
$O_f^\pm$
Phase Oracle
1q2d
$P(\phi)$
Phase Shift
1q2d
$R_x$
$x$ Rotation
2q2d
$R_{xx}$
$xx$ Rotation
1q2d
$R_y$
$y$ Rotation
2q2d
$R_{yy}$
$yy$ Rotation
1q2d
$R_z$
$z$ Rotation
2q2d
$R_{zz}$
$zz$ Rotation
1q2d
$S$
Phase
2q2d
$\mathrm{SWAP}$
SWAP
1q2d
$T$
$\pi / 8$ or $T$
1q2d
$G$
unnamed
3q2d
$\mathrm{CCX}$
Toffoli
2q2d
$B^{(2)}_i$
Virtual Distillation
Groups
Subgroups of the unitary group $\mathsf{U}(n)$ that are of particular importance.
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