LNCS 2764 Continuous Time Quantum Walks on the Symmetric Group 1st Edition by Heath Gerhardt, John Watrous ISBN 3540380450 9783540380450

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Product details:

ISBN 10: 3540380450

ISBN 13: 9783540380450

Author:  Heath Gerhardt, John Watrous 

LNCS 2764 – Continuous-Time Quantum Walks on the Symmetric Group 1st Edition: In this paper we study continuous-time quantum walks on Cayley graphs of the symmetric group, and prove various facts concerning such walks that demonstrate significant differences from their classical analogues. In particular, we show that for several natural choices for generating sets, these quantum walks do not have uniform limiting distributions, and are effectively blind to large areas of the graphs due to destructive interference.

 

LNCS 2764 – Continuous-Time Quantum Walks on the Symmetric Group 1st Edition Table of contents:

1 Introduction

2 Definitions

2.1 Continuous-Time Quantum Walks on Graphs

2.2 Cayley Graphs and Representation Theory of the Symmetric Group

3 Continuous-Time Quantum Walks on Γ(S, C)

3.1 Spectral Decomposition and Periodicity

3.2 Cayley Graphs of Sn Generated by Transpositions

3.3 Other Generating Sets

4 Conclusion

 

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