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Supplementary Information: Difference between revisions
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====Cluster States==== | ====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 |+ | 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 <math>|+\rangle</math> entangled by <math>\mathrm{CZ}</math> indicated by the edges. It is known to be universal i.e. it can simulate any quatum gate.<br/> | ||
<div id="5"> | <div id="5"> | ||
[[File:Cluster State.jpg|center|thumb|500px|Figure 5: Cluster State]]</div>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 [[Supplementary Information#6|Figure 6]] to understand the conversion from circuit model to graph state model. As the computation relation follows X = HZH, thus, Figure [[Supplementary Information#6a|Figure 6a]] represents Circuit diagram for C-NOT gate in terms of | [[File:Cluster State.jpg|center|thumb|500px|Figure 5: Cluster State]]</div> | ||
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 [[Supplementary Information#6|Figure 6]] to understand the conversion from circuit model to graph state model. As the computation relation follows $X=HZH$, thus, Figure [[Supplementary Information#6a|Figure 6a]] represents Circuit diagram for <math>\mathrm{C-NOT}</math> gate in terms of <math>\mathrm{CZ}</math> gate and Single Qubit Gate <math>\mathrm{H}</math>.<br/> | |||
<div id="6"><div id="6a"><div id="6b"><ul> | <div id="6"><div id="6a"><div id="6b"><ul> | ||
<li style="display: inline-block;"> [[File:Circuit Diagram to implement C-NOT.jpg|frame|500px|(a)Circuit Diagram to implement C-NOT]] </li> | <li style="display: inline-block;"> [[File:Circuit Diagram to implement C-NOT.jpg|frame|500px|(a)Circuit Diagram to implement C-NOT]] </li> | ||