A quantum algorithm for examining oracles
Hiroo Azuma
Abstract
In this paper, we consider a quantum algorithm for solving the following problem: ``Suppose f is a function given as a black box (that is also called an oracle) and f is invariant under some AND-mask. Examine a property of f by querying the oracle.'' We compare the efficiency of our quantum algorithm with that of classical algorithms by evaluating the expected number of queries for each algorithm. We show that our quantum algorithm is more efficient than any classical algorithm in some cases. However, our quantum algorithm does not exhibit an exponential speedup in the size of an input, compared with the best classical algorithm. Our algorithm extracts a global property of f (that is, invariance of f) while it neglects local properties of f (that is, outputs of f). We can regard our algorithm as an application of Simon's algorithm.
Create a lesson
Related papers
Approximate Synthetic Spectra of Quantum Systems Associated with Compact Lie Groups
Junyang Liu, Hang Wang, Houjin Wang et al.
An example of universal braiding in Links--Gould topological quantum computation
Matthew Harper, Ben-Michael Kohli
Reasoning about Shared-Qubit Concurrency in Quantum Computing
Mingsheng Ying
Information-Geometric Representation of Upper Bounds on Fluctuation Growth in Open Quantum Systems
Newshaw Bahreyni, Paul M. Alsing
Initialization-controlled fault sensitivity and force-balance plateaus in noisy variational quantum optimization
Longhui Shen, Fangzhou Jin, Bin Guo
Quantum identity authentication protocol via perturbed probability amplitudes
Xiangqun Fu, Zheng Han, Hongwei Li et al.