Qn | QuosNames | QuosPict1 | QuosPict2 | Wn | WikiNames | WikiPict1 | WikiPict2 | Qubits | MatrixString |
---|---|---|---|---|---|---|---|---|---|
1 | 0 | ![]() | ![]() | ![]() |
|||||
2 | 1 | ![]() | ![]() | ||||||
3 | I | ![]() | 1 | I Identity No-op | ![]() | ![]() |
1 | 1 0 0 1 |
|
4 | T | ![]() | 16 | T Phase gate T Pi/8 gate P pi/4 Fourth root of Z | ![]() | 1 | 1 0 0 e^ip/4 |
||
5 | Ph | ![]() | 2 | Ph Phase (e^id)I Global phase | ![]() | 1 | e^id 1 0 0 1 |
||
6 | Pp | ![]() | 15 | Pphi P phi R phi u1 phi Phase shift | ![]() | 1 | 1 0 0 e^if |
||
7 | H | ![]() | 8 | H Hadamard Walsh-Hadamard | ![]() | 1 | 1/sqrt2 1 1 1 -1 |
||
8 | X | ![]() | 3 | X Pauli X sx NOT Bit flip | ![]() | 1 | 0 1 1 0 |
||
9 | Y | ![]() | 4 | Y Pauli Y sy | ![]() | 1 | 0 -i i 0 |
||
10 | Z | ![]() | 5 | Z Pauli Z sz Phase flip | ![]() | 1 | 1 0 0 -1 |
||
11 | Rx | ![]() | 19 | Rx Rx ? Rotation about x-axis | ![]() | 1 | cos?/2 -isin?/2 -isin?/2 cos?/2 |
||
12 | Ry | ![]() | 20 | Ry Ry ?. Rotation about y-axis | ![]() | 1 | cos?/2 -sin?/2 sin?/2 cos?/2 |
||
13 | Rz | ![]() | 21 | Rz Rz ?. Rotation about z-axis | ![]() | ![]() |
1 | e^-i?/2 0 0 e^i?/2 |
|
14 | V | ![]() | 7 | V sqrt-X sqrt-NOT SX | ![]() | ![]() |
1 | 1/2 1+i 1-i 1-i 1+i |
|
15 | S | ![]() | 6 | S sqrt-Z P Phase S | ![]() | 1 | 1 0 0 i |
||
16 | C Pp | ![]() | ![]() |
17 | Controlled phase C phase f CR f | ![]() | 2 | 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 e^if |
|
17 | C X | ![]() | ![]() |
9 | CX CNOT XOR Controlled NOT Controlled X Reversible exclusive OR Feynman | ![]() | 2 | 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 |
|
18 | C Z | ![]() | ![]() |
11 | CZ CPF CSign Cphase Controlled Z Controlled sign flip Controlled phase flip | ![]() | 2 | 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 -1 |
|
19 | C S | ![]() | ![]() |
18 | CS Cntrolled S Controlled phase S | ![]() | 2 | 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 i |
|
20 | Cd X | ![]() | ![]() |
10 | CdX CdashX XNOR Controlled NOT Anticontrolled X Zero control Control-on-0-NOT Reversible exclusive NOR | ![]() | 2 | 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 |
|
21 | Sw Sw | ![]() | ![]() |
13 | Swap | ![]() | 2 | 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 |
|
22 | iSw iSw | ![]() | ![]() |
14 | iSwap Imaginary swap | 2 | 1 0 0 0 0 0 i 0 0 i 0 0 0 0 0 1 |
||
12 | Double-controlled NOT DCNOT | 2 | 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 |
||||||
22 | XX interaction Rxx ? XX ? | 2 | cos?/2 0 0 -isin?/2 0 cos?/2 -isin?/2 0 0 -isin?/2 cos?/2 0 -isin?/2 0 0 cos?/2 |
||||||
23 | YY interaction Ryy ? YY ? | 2 | cos?/2 0 0 isin?/2 0 cos?/2 -isin?/2 0 0 -isin?/2 cos?/2 0 isin?/2 0 0 cos?/2 |
||||||
24 | ZZ interaction Rzz ? ZZ ? | ![]() | 2 | e^-i?/2 0 0 0 0 e^-i?/2 0 0 0 0 e^-i?/2 0 0 0 0 e^-i?/2 |
|||||
25 | XY XX plus YY Rxy ? XY ? | 2 | 1 0 0 0 0 cos?/2 -isin?/2 0 0 -isin?/2 cos?/2 0 0 0 0 1 |
||||||
26 | Square root swap | ![]() | 2 | 1 0 0 0 0 (1+i)/2 (1-i)/2 0 0 (1-i)/2 (1+i)/2 0 0 0 0 1 |
|||||
27 | Square root imaginary swap | ![]() | ![]() |
2 | 1 0 0 0 0 1/sqrt2 i/sqrt2 0 0 i/sqrt2 1/sqrt2 0 0 0 0 1 |
||||
28 | Swap (raised to a power) | 2 | 1 0 0 0 0 (1+e^ipa)/2 (1-e^ipa)/2 0 0 (1-e^ipa)/2 (1+e^ipa)/2 0 0 0 0 1 |
||||||
29 | CSwap Controlled swap Fredkin | 3 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 |
||||||
30 | General single qubit rotation U ? ? ? | 1 | cos?/2 -(e^-i?)sin?/2 (e^-i?)sin?/2 (e^i(?+?))cos?/2 |
||||||
31 | Barenco Barenco a ? ? | 2 | 1 0 0 0 0 1 0 0 0 0 (e^ia)cos? ? -i(e^i(a-?)sin? 0 0 -i(e^i(a+?))sin? ? (e^ia)cos?? |
||||||
32 | B Berkeley B | 2 | cosp/8 0 0 isinp/8 0 cos3p/8 isin3p/8 0 0 isinp/8 cosp/8 0 isinp/8 0 0 cosp/8 |
||||||
33 | CSX controlled square root NOT controlled square root X Controlled V | 2 | 1 0 0 0 0 1 0 0 0 0 e^ip/4 e^-ip/4 0 0 e^-ip/4 e^ip/4 |
||||||
34 | Core entangling Canonical decomposition N a b c Can a b c | 2 | (e^ic)cos? (a-b) 0 0 (e^ic)sina-b) 0 (e^-ic)cos? (a+b) (e^-ic)sin? (a+b) 0 0 (e^-ic)sin? (a+b) (e^-ic)cos? (a+b) 0 (e^ic)sin? (a-b) 0 0 (e^ic)cos? (a-b) |
||||||
35 | Dagwood Bumstead DB | 2 | 1 0 0 0 0 cos3p/8 -isin3p/8 0 0 -isin3p/8 cos3p/8 0 0 0 0 1 |
||||||
36 | Echoed cross resonance ECR | 2 | 1/sqrt2 0 0 1 i 0 0 i 1 1 -i 0 0 -i 1 0 0 |
||||||
37 | Fermionic simulation UfSim ? ? fSim ? ? | 2 | 1 0 0 0 0 cos? -isin? 0 0 -isin? cos? 0 0 0 0 e^i? |
||||||
38 | Givens. G ? Givens ? | 2 | 1 0 0 0 0 cos? -sin? 0 0 sin? cos? 0 0 0 0 1 |
||||||
39 | Magic. Mu | 2 | 1/sqrt2 1 i 0 0 0 0 i 1 0 0 i -1 1 -i 0 0 |
||||||
40 | Sycamore Syc fSim p/2 p/6 | ![]() | 2 | 1 0 0 0 0 0 -i 0 0 -i 0 0 0 0 0 e^-ip/6 |
|||||
41 | Deutsch D ? | ![]() | 3 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 icos? ? sin? 0 0 0 0 0 0 sin? icos? |
|||||
42 | Margolus M RCCX Simplified Toffoli | ![]() | 3 | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 |