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We know that the Initial state $|\psi\rangle$ can be represented as $\sin\frac{\theta}{2}|\chi\rangle + \cos\frac{\theta}{2}|\xi\rangle$.
We can prove the result $G^R|\psi\rangle = \sin\frac{(2R+1)\theta}{2}|\chi\rangle + \cos\frac{(2R+1)\theta}{2}|\xi\rangle$ by Induction
Base Case
When $R=0$, $G^R=G^0=I$ and $2R+1=2\times0+1=1$.
Thus $G^0|\psi\rangle = \...
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A very good book about quantum networks (with a communication engineering flavour) is "Quantum Networking" by Rodney Van Meter.
Regarding SimulaQron, look at this simple tutorial for getting started:
https://softwarequtech.github.io/SimulaQron/html/GettingStarted.html
I strongly suggest to read the main paper on SimulaQron (https://arxiv.org/abs/...
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In addition to the mentioned papers, there has been some interesting research efforts in designing Quantum Distributed Consensus Algorithms. In one of the early approaches, Ellie D’Hondt and Prakash Panangaden has designed a Quantum Distributed Consensus Algorithm using the distinctive properties of W-State and GHZ-state systems. It is detailed in the ...
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