Approximate quantum Fourier transform and decoherence

被引:105
作者
Barenco, A
Ekert, A
Suominen, KA
Torma, P
机构
[1] UNIV HELSINKI, DEPT PHYS, DIV THEORET PHYS, SF-00014 HELSINKI, YLIOPISTO, FINLAND
[2] UNIV HELSINKI, RES INST THEORET PHYS, SF-00014 HELSINKI, YLIOPISTO, FINLAND
关键词
D O I
10.1103/PhysRevA.54.139
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We discuss the advantages of using the approximate quantum Fourier transform (AQFT) in algorithms which involve periodicity estimations. We analyze quantum networks performing AQFT in the presence of decoherence and show that extensive approximations can be made before the accuracy of AQFT (as compared with regular quantum Fourier transform) is compromised. We show that for some computations an approximation may imply a better performance.
引用
收藏
页码:139 / 146
页数:8
相关论文
共 32 条
  • [1] A UNIVERSAL 2-BIT GATE FOR QUANTUM COMPUTATION
    BARENCO, A
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1995, 449 (1937): : 679 - 683
  • [2] CONDITIONAL QUANTUM DYNAMICS AND LOGIC GATES
    BARENCO, A
    DEUTSCH, D
    EKERT, A
    JOZSA, R
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (20) : 4083 - 4086
  • [3] BARENCO A, IN PRESS CONT PHYS
  • [4] BARENCO A, UNPUB
  • [5] QUANTUM INFORMATION AND COMPUTATION
    BENNETT, CH
    [J]. PHYSICS TODAY, 1995, 48 (10) : 24 - 30
  • [6] BERTHIAUME A, 1994, P WORKSH PHYS COMP P
  • [7] Brigham E.O., 1974, FAST FOURIER TRANSFO
  • [8] CALDERBANK AR, QUANTPH9512032
  • [9] QUANTUM COMPUTATIONS WITH COLD TRAPPED IONS
    CIRAC, JI
    ZOLLER, P
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (20) : 4091 - 4094
  • [10] AN ALGORITHM FOR MACHINE CALCULATION OF COMPLEX FOURIER SERIES
    COOLEY, JW
    TUKEY, JW
    [J]. MATHEMATICS OF COMPUTATION, 1965, 19 (90) : 297 - &