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Lanczos algorithm. The Lanczos algorithm is an iterative method devised by Cornelius Lanczos that is an adaptation of power methods to find the "most useful" (tending towards extreme highest/lowest) eigenvalues and eigenvectors of an Hermitian matrix, where is often but not necessarily much smaller than . [1]
Negamax. Negamax search is a variant form of minimax search that relies on the zero-sum property of a two-player game . This algorithm relies on the fact that to simplify the implementation of the minimax algorithm. More precisely, the value of a position to player A in such a game is the negation of the value to player B.
Isolation Forest is an algorithm for data anomaly detection initially developed by Fei Tony Liu in 2008. [1] Isolation Forest detects anomalies using binary trees. The algorithm has a linear time complexity and a low memory requirement, which works well with high-volume data. [2] [3] In essence, the algorithm relies upon the characteristics of ...
Ramer–Douglas–Peucker algorithm. The Ramer–Douglas–Peucker algorithm, also known as the Douglas–Peucker algorithm and iterative end-point fit algorithm, is an algorithm that decimates a curve composed of line segments to a similar curve with fewer points. It was one of the earliest successful algorithms developed for cartographic ...
Thus, Deutsch’s problem is equivalent to evaluating f(0) f(1). It turns out that by a clever twist of the naive approach above, we can indeed evaluate f(0) f(1) (without individually obtaining the values f(0), f(1)) via Deutsch’s algorithm. 3.2 Deutsch’s algorithm The circuit for Deutsch’s algoritm is given as follows. jq1i = j0i H Uf H LL
Verlet integration. Verlet integration ( French pronunciation: [vɛʁˈlɛ]) is a numerical method used to integrate Newton's equations of motion. [1] It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics.
In a generalization to qubits, known as the Deutsch–Jozsa algorithm, a single query on a quantum computer can find a result that would require up to the of order queries on a classical computer. Similar fragmentary results show promise of possible exponential gains in computational power using a quantum machine. References.
