Quantum Algorithm Handbook, Flux J.

Quantum Algorithm Handbook, Flux J.

Фрагмент из книги:
Grover’s Search Algorithm, introduced by Lov Grover in 1996 [?], is a quantum algorithm that provides a quadratic speedup over classical search algorithms for unstructured databases. It is particularly useful in solving the unsorted database search problem, also known as the "search problem", which involves finding a specific target item among a large collection of items.




Implications for Quantum Cryptography.
Simon’s Problem lias important implications for quantum cryptography, specifically in the field of quantum key distribution. It demonstrates that a quantum computer can efficiently solve a problem that would be computationally infeasible for a classical computer, leading to the potential vulnerability of certain cryptographic schemes.

By using Simon’s Problem as a building block, more secure cryptographic schemes can be developed. For example, Simon’s Algorithm can be used as a subroutine in the design of quantum-resistant encryption algorithms.

Contents.
1 Deutsch-Jozsa Algorithm.
2 Grover’s Search Algorithm.
3 Simon’s Problem.
4 Shor’s Factoring Algorithm.
5 Quantum Fourier Transform (QFT).
6 Quantum Phase Estimation.
7 Quantum Counting.
8 Variational Quantum Eigensolver (VQE).
9 Variational Quantum Eigensolver (VQE).
10 Boson Sampling.
11 Quantum Sampling Algorithms.
12 Quantum Simulations of Physical Systems.
13 Quantum Metropolis Algorithm.
14 Quantum Support Vector Machine (QSVM).
15 Quantum PageRank Algorithm.
16 Quantum Approximate Optimization Algorithm (QAOA)..
17 Quantum Support Vector Machine (QSVM).
18 Quantum Sampling Algorithms.
19 Quantum Dynamic Simulations.
20 Quantum Principal Component Analysis (QPCA).
21 Quantum State Tomography.
22 Quantum Secure Multi-Party Computation.
23 Quantum Secure Multi-Party Computation.
24 Quantum Annealing.
25 Quantum Game Theory Algorithms.
26 Quantum Cryptographic Protocols.
27 Quantum Clustering Algorithms.
28 Quantum Error Correction Algorithms.
29 Quantum Circuit Design Algorithms.
30 Quantum State Tomography.
31 Quantum Distance Estimation Algorithms.
32 Quantum Code Optimization Algorithms.
33 Quantum Amplitude Estimation.
34 Quantum Resource Estimation.
35 Quantum Entanglement Purification.
36 Quantum Multi-Objective Optimization.
37 Quantum Gradient Descent Algorithms.
38 Quantum Algorithm for SAT Problems.
39 Quantum Data Encryption Algorithms.
40 Quantum Reconciliation Protocols.
41 Quantum Cloning Algorithms.
42 Quantum State Distillation.
43 Quantum Pattern Recognition.
44 Quantum Nearest Neighbors Algorithm.
45 Quantum Sequence Alignments.
46 Quantum Gibbs Sampling.
47 Quantum Rejection Sampling.
48 Quantum Learning Algorithms.
49 Quantum Policy Gradient.
50 Quantum Markov Chains.
51 Quantum Hidden Markov Models.



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