Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (4): 771-782.

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Itô Formula for Multidimensional Continuous-Time Quantum Random Walk

Kang Yuanbao   

  1. School of Mathematics Science, Chongqing Normal University, Chongqing 401331
  • Received:2015-11-03 Revised:2016-04-12 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Support by the NSFC(11461061)and the Dr Start-up Founds Project of Chongqing Normal University(15XLB013)

Abstract:

In the paper, following [5-6] we present an Itô formula for the multidimensional continuous-time quantum random walk (CQRW, for short) based on [18]. As an application we then establish a Tanaka's formula for the high-dimensional CQRW.

Key words: CQRW, Itô, formula, Tanaka's formula

CLC Number: 

  • O211.6
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