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A generation algorithm of unitary transformation applied in quantum data compression

Liang Yan-Xia Nie Min

A generation algorithm of unitary transformation applied in quantum data compression

Liang Yan-Xia, Nie Min
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Publishing process
  • Received Date:  05 June 2013
  • Accepted Date:  15 July 2013
  • Published Online:  20 October 2013

A generation algorithm of unitary transformation applied in quantum data compression

  • 1. School of Telecommunication and Information Engineering, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61172071, 61102047), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2012ZX03001025-004 ), and the Special Scientific Research Fundation of the Education Department of Shaanxi Province, China (Grant No. 11JK1016).

Abstract: An algorithm to generate unitary transformation (UT) of two orthogonal base kets is proposed in this paper. Certain requirements that UT must meet are as follows: four typical base kets in the first category can be transformed into states with the last qubit |0>, and the other four atypical base kets can be transformed into states with the last qubit |1>. This UT is applied to quantum data compression, with a result that the fidelity of the compression is 0.942. This method provides an important basis for realizing quantum compression and decompression. And it can be an important reference of other UT generation method which must fulfill some requirements.

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