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Rewrite stdgates in more natural representations #810

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Rewrite stdgates in more natural representations #810

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125 changes: 47 additions & 78 deletions src/quil/stdgates.quil
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Original file line number Diff line number Diff line change
Expand Up @@ -28,107 +28,77 @@ DEFGATE H:

## Cartesian Rotation Gates

DEFGATE RX(%theta):
cos(%theta/2), -i*sin(%theta/2)
-i*sin(%theta/2), cos(%theta/2)
DEFGATE RX(%theta) p AS PAULI-SUM:
X(%theta/2) p

DEFGATE RY(%theta):
cos(%theta/2), -sin(%theta/2)
sin(%theta/2), cos(%theta/2)
DEFGATE RY(%theta) p AS PAULI-SUM:
Y(%theta/2) p

DEFGATE RZ(%theta):
cis(-%theta/2), 0
0, cis(%theta/2)
DEFGATE RZ(%theta) p AS PAULI-SUM:
Z(%theta/2) p


## Controlled-NOT Variants

DEFGATE CNOT:
1, 0, 0, 0
0, 1, 0, 0
0, 0, 0, 1
0, 0, 1, 0
DEFGATE CNOT p q AS SEQUENCE:
CONTROLLED X p q

# Also known as the Toffoli gate.
DEFGATE CCNOT:
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

DEFGATE CCNOT p q r AS SEQUENCE:
CONTROLLED CONTROLLED X p q r

## Phase Gates

# Equivalent to RZ(pi/2) up to global phase
DEFGATE S:
1, 0
0, i

# Equivalent to RZ(pi/4) up to global phase
DEFGATE T:
1, 0
0, cis(pi/4)

# Equivalent to RZ(%alpha) up to global phase
DEFGATE PHASE(%alpha):
1, 0
0, cis(%alpha)

DEFGATE CPHASE00(%alpha):
cis(%alpha), 0, 0, 0
0, 1, 0, 0
0, 0, 1, 0
0, 0, 0, 1

DEFGATE CPHASE01(%alpha):
1, 0, 0, 0
0, cis(%alpha), 0, 0
0, 0, 1, 0
0, 0, 0, 1

DEFGATE CPHASE10(%alpha):
1, 0, 0, 0
0, 1, 0, 0
0, 0, cis(%alpha), 0
0, 0, 0, 1

DEFGATE CPHASE(%alpha):
1, 0, 0, 0
0, 1, 0, 0
0, 0, 1, 0
0, 0, 0, cis(%alpha)

DEFGATE CZ:
1, 0, 0, 0
0, 1, 0, 0
0, 0, 1, 0
0, 0, 0, -1
DEFGATE CPHASE(%alpha) p q AS SEQUENCE:
CONTROLLED PHASE(%alpha) p q

DEFGATE CPHASE00(%alpha) p q AS SEQUENCE:
X p
X q
CONTROLLED PHASE(%alpha) p q
X p
X q

DEFGATE CPHASE01(%alpha) p q AS SEQUENCE:
X p
CONTROLLED PHASE(%alpha) p q
X p

DEFGATE CPHASE10(%alpha) p q AS SEQUENCE:
X q
CONTROLLED PHASE(%alpha) p q
X q

DEFGATE CZ p q AS SEQUENCE:
CONTROLLED Z p q

## Swap Gates

DEFGATE SWAP:
1, 0, 0, 0
0, 0, 1, 0
0, 1, 0, 0
0, 0, 0, 1
DEFGATE SWAP AS PERMUTATION:
0, 2, 1, 3

# Also known as the Fredkin gate.
DEFGATE CSWAP:
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

DEFGATE ISWAP:
1, 0, 0, 0
0, 0, i, 0
0, i, 0, 0
0, 0, 0, 1
DEFGATE CSWAP p q r AS SEQUENCE:
CONTROLLED SWAP p q r

DEFGATE ISWAP p q AS PAULI-SUM:
XX(pi/4) p q
YY(pi/4) p q

DEFGATE PSWAP(%theta):
1, 0, 0, 0
Expand All @@ -152,11 +122,10 @@ DEFGATE XY(%theta):
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 CAN(%alpha, %beta, %gamma) p q AS PAULI-SUM:
XX(%alpha/2) p q
YY(%beta/2) p q
ZZ(%gamma/2) p q

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