Graduate Random Quantum Walk: Learn & Use w/ Quantum Gates

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SUMMARY

The discussion centers on the concept of random quantum walks and their application in quantum computing, particularly with quantum logical gates. The participant is an undergraduate researching quantum computation and is transitioning from classical random walks to understanding random quantum walks. The inquiry emphasizes the need for a clear explanation of random quantum walks and their relevance in quantum logic, highlighting the importance of foundational knowledge in quantum mechanics for effective comprehension.

PREREQUISITES
  • Understanding of classical random walks
  • Basic knowledge of quantum mechanics
  • Familiarity with quantum gates and their functions
  • Research skills for exploring quantum computation topics
NEXT STEPS
  • Study the principles of random quantum walks in detail
  • Explore the role of quantum gates in quantum algorithms
  • Learn about continuous-time quantum walks and their differences from discrete-time walks
  • Investigate practical applications of random quantum walks in quantum computing
USEFUL FOR

Undergraduate students in quantum computing, researchers in quantum information science, and anyone interested in the intersection of quantum mechanics and computational theory.

Frank Schroer
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TL;DR
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.
 
Physics news on Phys.org
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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