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Three-CNOT decomposition of the SWAP gate
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Physics
Branch of physics
Quantum theory
Controlled unitary gate
Controlled-NOT gate
SWAP gate
Created
2026-09-24
Updated
2026-09-24
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Applying
controlled-NOT gates
with directions
1
→
2
,
2
→
1
, and
1
→
2
maps
(
x
,
y
)
↦
(
x
,
x
⊕
y
)
↦
(
y
,
x
⊕
y
)
↦
(
y
,
x
)
,
(1)
and therefore implements the
SWAP gate
.
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(7)
SWAP gate
Controlled-NOT gate
Controlled unitary gate
Quantum theory
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 3
/
15D
/
c
/
Solution
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