Contents
What is period finding?
The goal of a period finding algorithm is to find r. There are other ways to solve this problem, but it can be shown that all classical algorithms solve this problem in exponential time.
What is the complexity of Grover’s algorithm to search the record in global data set?
Grover’s algorithm, which takes O(N1/2) time, is the fastest possible quantum algorithm for searching an unsorted database.
What does the quantum Fourier transform do?
The quantum Fourier transform (QFT) transforms between two bases, the computational (Z) basis, and the Fourier basis. In the same way, all multi-qubit states in the computational basis have corresponding states in the Fourier basis. The QFT is simply the function that transforms between these bases.
What to look for in a period detection algorithm?
If what you’re looking for is the most statistically significant stationary period contained in your noisy data, there’s essentially two routes to take: The problem with #2 is that for any noisy time series, you will get a large amount of power in low frequencies, making it difficult to distinguish.
Which is the most used order in algorithms?
The most-used orders are numerical order and lexicographical order. Sorting algorithms provide an introduction to a variety of core algorithm concepts, such as big O notation, divide and conquer algorithms, data structures, best-, worst- and average-case analysis, time-space tradeoffs, and lower bounds.
How is Shor’s algorithm used in order finding?
Shor‘s algorithm: Order finding and factorization Shor‘s algorithm: Order finding and factorization Ruben Dezeure & Manuel Schneider Monday, December 19, 2011 Departement/Institut/Gruppe Outline Introduction Quantum Fourier Transform Phase Estimation Modular Exponentiation Order Finding Prime Factorization
What does it mean when a sorting algorithm is in place?
In particular, some sorting algorithms are “in place”. This means that they need only O(1) or O(log n) memory beyond the items being sorted and they don’t need to create auxiliary locations for data to be temporarily stored, as in other sorting algorithms.