Editing Distributing Graph States Over Arbitrary Quantum Networks
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In this protocol a quantum network is represented as a graph | In this protocol a quantum network is represented as a graph | ||
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The physical distribution of graph states are represented as graph operations ignoring | The physical distribution of graph states are represented as graph operations ignoring | ||
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* <math>|A|</math> number of nodes of A. | * <math>|A|</math> number of nodes of A. | ||
* <math>a_i \in A</math>, <math>i > 0</math> Represents each of the qubits of <math>A</math> that constitutes a Bell pair with a qubit <math>c_i</math> in another node of the network. | * <math>a_i \in A</math>, <math>i > 0</math> Represents each of the qubits of <math>A</math> that constitutes a Bell pair with a qubit <math>c_i</math> in another node of the network. | ||
==Protocol Description== | ==Protocol Description== | ||
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'''Input''' | '''Input''' | ||
* N-GHZ state: <math>|\text{N-GHZ}\rangle = (|0\rangle^{\otimes N}+|1\rangle^{\otimes N})/\sqrt{2}</math>. | * N-GHZ state: <math>|\text{N-GHZ}\rangle = (|0\rangle^{\otimes N}+|1\rangle^{\otimes N})/\sqrt{2}</math>. | ||
* That is locally equivalent to: <math>(|0\rangle|+\rangle^{\otimes N-1}+|1\rangle|-\rangle^{\otimes N-1})/\sqrt{2}</math> that is called a star graph ''' | * That is locally equivalent to: <math>(|0\rangle|+\rangle^{\otimes N-1}+|1\rangle|-\rangle^{\otimes N-1})/\sqrt{2}</math> that is called a star graph '''link to star graph''' | ||
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* Arbitrary set <math>W</math> of the network nodes. | * Arbitrary set <math>W</math> of the network nodes. |