Pseudo-Random Unitary Operators for Quantum Information Processing

作者: Joseph Emerson , Yaakov S Weinstein , Marcos Saraceno , Seth Lloyd , David G Cory

DOI: 10.1126/SCIENCE.1090790

关键词: Quantum phase estimation algorithmQuantum probabilityQuantum informationQuantum information scienceAlgebraOperator theoryQuantum t-designQuantum Fourier transformComputer scienceDecoherence-free subspaces

摘要: In close analogy to the fundamental role of random numbers in classical information theory, operators are a basic component quantum theory. Unfortunately, implementation unitary on processor is exponentially hard. Here we introduce method for generating pseudo-random that can reproduce those statistical properties most relevant tasks. This requires fewer resources, and hence enables practical application communication processing protocols. Using nuclear magnetic resonance processor, were able realize pseudorandom expected distribution matrix elements.

参考文章(23)
Isaac L. Chuang, Michael A. Nielsen, Quantum Computation and Quantum Information ,(2000)
Fritz Haake, Quantum signatures of chaos ,(1991)
Seth Lloyd, Capacity of the noisy quantum channel Physical Review A. ,vol. 55, pp. 1613- 1622 ,(1997) , 10.1103/PHYSREVA.55.1613
B. Georgeot, D. L. Shepelyansky, Exponential gain in quantum computing of quantum chaos and localization. Physical Review Letters. ,vol. 86, pp. 2890- 2893 ,(2001) , 10.1103/PHYSREVLETT.86.2890
Giuliano Benenti, Giulio Casati, Simone Montangero, Dima L. Shepelyansky, Efficient quantum computing of complex dynamics. Physical Review Letters. ,vol. 87, pp. 227901- ,(2001) , 10.1103/PHYSREVLETT.87.227901
Marco A. Pravia, Nicolas Boulant, Joseph Emerson, Amro Farid, Evan M. Fortunato, Timothy F. Havel, R. Martinez, David G. Cory, Robust control of quantum information The Journal of Chemical Physics. ,vol. 119, pp. 9993- 10001 ,(2003) , 10.1063/1.1619132
David G. Cory, Timothy F. Havel, Nicolas Boulant, Joseph Emerson, Yaakov S. Weinstein, Marcos Saraceno, Seth Lloyd, Quantum process tomography of the quantum Fourier transform Journal of Chemical Physics. ,vol. 121, pp. 6117- 6133 ,(2004) , 10.1063/1.1785151
Lorenza Viola, Evan M Fortunato, Marco A Pravia, Emanuel Knill, Raymond Laflamme, David G Cory, Experimental Realization of Noiseless Subsystems for Quantum Information Processing Science. ,vol. 293, pp. 2059- 2063 ,(2001) , 10.1126/SCIENCE.1064460
Marek Kus, Karol Zyczkowski, Marcin Pozniak, Composed ensembles of random unitary matrices Journal of Physics A. ,vol. 31, pp. 1059- 1071 ,(1998) , 10.1088/0305-4470/31/3/016
Shlomo Sternberg, Eugene Golowich, Group theory and physics ,(1994)