What is a random quantum walk and how are they used with quantum gates?

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Frank Schroer
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explanation of a random quantum walk with regards to quantum logical gates
I am an undergraduate doing research on QC/QI. My current topic to learn is continuous-time quantum walks, but first I must learn the random quantum walk. That being said, I was wondering if someone could simply explain what a random quantum walk is and then explain how they could be useful with quantum logical gates. I am familiar with the classical random walk already.
 
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