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Introduce FSIM gates and 2Q Pauli Rotations #326

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Oct 16, 2025
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Introduce FSIM gates and 2Q Pauli Rotations #326

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69 changes: 69 additions & 0 deletions quil/stdgates.quil
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Original file line number Diff line number Diff line change
Expand Up @@ -130,8 +130,77 @@ DEFGATE ISWAP:
0, i, 0, 0
0, 0, 0, 1

DEFGATE SQISWAP:
1, 0, 0, 0
0, 1/sqrt(2), i/sqrt(2), 0
0, i/sqrt(2), 1/sqrt(2), 0
0, 0, 0, 1


DEFGATE PSWAP(%theta):
1, 0, 0, 0
0, 0, cis(%theta), 0
0, cis(%theta), 0, 0
0, 0, 0, 1

## 2-Qubit Pauli rotation gates

DEFGATE RZZ(%phi):
cis(-%phi/2), 0, 0, 0
0, cis(%phi/2), 0, 0
0, 0, cis(%phi/2), 0
0, 0, 0, cis(-%phi/2)

DEFGATE RXX(%phi):
cos(%phi/2), 0, 0, -i*sin(%phi/2)
0, cos(%phi/2), -i*sin(%phi/2), 0
0, -i*sin(%phi/2), cos(%phi/2), 0
-i*sin(%phi/2), 0, 0, cos(%phi/2)

DEFGATE RYY(%phi):
cos(%phi/2), 0, 0, i*sin(%phi/2)
0, cos(%phi/2), -i*sin(%phi/2), 0
0, -i*sin(%phi/2), cos(%phi/2), 0
i*sin(%phi/2), 0, 0, cos(%phi/2)

## Fermionic Simulation gates

DEFGATE FSIM(%theta, %phi):
1, 0, 0, 0
0, cos(%theta/2), i*sin(%theta/2), 0
0, i*sin(%theta/2), cos(%theta/2), 0
0, 0, 0, cis(%phi)

DEFGATE PHASEDFSIM(%theta, %zeta, %chi, %gamma, %phi):
1, 0, 0, 0
0, cis(-%gamma - %zeta)*cos(%theta/2), i*cis(%chi - %gamma)*sin(%theta/2), 0
0, i*cis(-%gamma - %chi)*sin(%theta/2), cis(%zeta - %gamma)*cos(%theta/2), 0
0, 0, 0, cis(%phi - 2*%gamma)

## Lesser-known standard gates

DEFGATE PISWAP(%theta):
1, 0, 0, 0
0, cos(%theta/2), i*sin(%theta/2), 0
0, i*sin(%theta/2), cos(%theta/2), 0
0, 0, 0, 1

# there has been some internal debate about whether this gate should be parameterized
# by -1.0*%theta instead. we seem to have picked this one for good, but it's still
# not 100% clear to me that this is the "right" move.
DEFGATE XY(%theta):
1, 0, 0, 0
0, cos(%theta/2), i*sin(%theta/2), 0
0, i*sin(%theta/2), cos(%theta/2), 0
0, 0, 0, 1

DEFGATE CAN(%alpha, %beta, %gamma):
(cis((%alpha+%beta-%gamma)/2)+cis((%alpha-%beta+%gamma)/2))/2, 0, 0, (cis((%alpha-%beta+%gamma)/2)-cis((%alpha+%beta-%gamma)/2))/2
0, (cis((%alpha+%beta+%gamma)/(-2))+cis((%beta+%gamma-%alpha)/2))/2, (cis((%alpha+%beta+%gamma)/(-2))-cis((%beta+%gamma-%alpha)/2))/2, 0
0, (cis((%alpha+%beta+%gamma)/(-2))-cis((%beta+%gamma-%alpha)/2))/2, (cis((%alpha+%beta+%gamma)/(-2))+cis((%beta+%gamma-%alpha)/2))/2, 0
(cis((%alpha-%beta+%gamma)/2)-cis((%alpha+%beta-%gamma)/2))/2, 0, 0, (cis((%alpha+%beta-%gamma)/2)+cis((%alpha-%beta+%gamma)/2))/2

DEFGATE BLOCH(%alpha, %beta, %gamma) q AS PAULI-SUM:
X(%alpha) q
Y(%beta) q
Z(%gamma) q
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