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Cluster States In case of multi-qubit quatum circuits, one needs a 2-dimensional graph state. Cluster State is a square lattice used as substrate for such computation. All the nodes are in |+i entangled by C-Z indicated by the edges. It is known to be universal i.e. it can simulate any quatum gate.<br/> | Cluster States In case of multi-qubit quatum circuits, one needs a 2-dimensional graph state. Cluster State is a square lattice used as substrate for such computation. All the nodes are in |+i entangled by C-Z indicated by the edges. It is known to be universal i.e. it can simulate any quatum gate.<br/> | ||
[[File:Cluster State.jpg|center|thumb|500px|Cluster State]]Each row would thus represent the teleporation of starting qubit in that row horizontally. On the other hand, vertical edges indicate different input qubits linked with multi-qubit gates (same as circuit model). For example, see Figure 6 to understand the conversion from circuit model to graph state model. As the computation relation follows X = HZH, thus, Figure 6a represents Circuit diagram for C-NOT gate in terms of C-Z gate and Single Qubit Gate H.<br/> | [[File:Cluster State.jpg|center|thumb|500px|Cluster State]]Each row would thus represent the teleporation of starting qubit in that row horizontally. On the other hand, vertical edges indicate different input qubits linked with multi-qubit gates (same as circuit model). For example, see Figure 6 to understand the conversion from circuit model to graph state model. As the computation relation follows X = HZH, thus, Figure 6a [[Supplementary Information#6|6a]] represents Circuit diagram for C-NOT gate in terms of C-Z gate and Single Qubit Gate H.<br/> | ||
<div><ul> | <div id="6"><ul> | ||
<li style="display: inline-block;"> [[File:Circuit Diagram to implement C-NOT.jpg|frame|500px|Circuit Diagram to implement C-NOT]] </li> | <li style="display: inline-block;"> [[File:Circuit Diagram to implement C-NOT.jpg|frame|500px|Circuit Diagram to implement C-NOT]] </li> | ||
<li style="display: inline-block;"> [[File:Graph State Pattern for C-NOT.jpg|frame|500px|Graph State Pattern for C-NOT]] </li> | <li style="display: inline-block;"> [[File:Graph State Pattern for C-NOT.jpg|frame|500px|Graph State Pattern for C-NOT]] </li> | ||