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11 papers · 2 filters
Fetching marked items from an unsorted database in NMR ensemble computing
L. Xiao, G. L. Long
Searching a marked item or several marked items from an unsorted database is a very difficult mathematical problem. Using classical computer, it requires steps to find t…
Experimental Realization of Brüschweiler's exponentially fast search algorithm in a homo-nuclear system
Li Xiao, G. L. Long, Hai-Yang Yan +1
Compared with classical search algorithms, Grover quantum algorithm [ Phys. Rev. Lett., 79, 325(1997)] achieves quadratic speedup and Bruschweiler hybrid quantum algorithm [Phys. R…
Power-Law Energy Splitting Generated By Tunneling Between Non-smooth Tori
Z. Q. Bai
We discuss the energy level splitting due to quantum tunneling between congruent tori in phase space. In analytic cases, it is well known that decays faster than power of…
General Scheme for Super Dense Coding between Multi-Parties
X. S. Liu, G. L. Long, D. M. Tong +1
Dense coding or super-dense coding in the case of high-dimension quantum states between two parties and multi-parties has been studied in this paper. We construct explicitly the me…
Grover Algorithm with zero theoretical failure rate
G. L. Long
In standard Grover's algorithm for quantum searching, the probability of finding the marked item is not exactly 1. In this Letter we present a modified version of Grover's algorith…
Multistability and Critical Fluctuation in a Split Bose-Einstein Condenstate
Y. Wu, C. P. Sun
By using a two-mode description, we show that there exist the multistability, phase transition and associated critical fluctuations in the macroscopic tunneling process between the…