Graph state
Quantum state
start with a Graph G=(V,E)
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a |+⟩ qubit at each vertex
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CZ gate at each edge
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|+⟩ ----.---.---.---.------
| | | |
|+⟩ ----.---|---|---|------
| | |
|+⟩ --------.---|---|------
| |
|+⟩ ------------.---|------
|
|+⟩ ----------------.------
- “Equivalently,
|G⟩ can be defined as a simultaneous fixed point of the correlation operators Kj = X(j) ⊗ {i,j}∈E, Z(i) , which are entirely determined by the graph.” Stabilizer state;
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o------o
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o------o
o---o
/ \
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\ /
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o o
\ /
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/ \
o o
References