The Bernstein–Vazirani algorithm, which solves the Bernstein–Vazirani problem, is a quantum algorithm invented by Ethan Bernstein and Umesh Vazirani in...
7 KB (1,225 words) - 19:26, 20 February 2025
professor Vijay Vazirani. Vazirani is one of the founders of the field of quantum computing. His 1993 paper with his student Ethan Bernstein on quantum complexity...
7 KB (547 words) - 02:53, 23 September 2024
The Bernstein–Vazirani algorithm is the first quantum algorithm that solves a problem more efficiently than the best known classical algorithm. It was...
39 KB (4,559 words) - 15:04, 4 January 2025
Simon's problem (redirect from Simon's Algorithm)
separation that the Bernstein–Vazirani algorithm achieves, and different from the separation provided by the Deutsch–Jozsa algorithm, which separates P...
17 KB (3,247 words) - 22:43, 20 February 2025
Deutsch–Jozsa algorithm can be implemented in Python using Qiskit, an open-source quantum computing software development framework by IBM. Bernstein–Vazirani algorithm...
12 KB (2,189 words) - 23:39, 20 February 2025
{\displaystyle N/2} steps). Charles H. Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani proved that any quantum solution to the problem needs...
32 KB (4,712 words) - 22:42, 20 February 2025
Quantum computing (redirect from Quantum search algorithms)
security. Quantum algorithms then emerged for solving oracle problems, such as Deutsch's algorithm in 1985, the Bernstein–Vazirani algorithm in 1993, and Simon's...
114 KB (12,509 words) - 02:46, 3 March 2025
Phase kickback (section Deustch-Josza Algorithm)
large integers efficiently. The Deustch-Josza algorithm, and by association the Bernstein-Vazirani algorithm, determines whether an inputted function is...
13 KB (1,757 words) - 04:11, 3 March 2025
computer. Ethan Bernstein and Umesh Vazirani propose the Bernstein–Vazirani algorithm. It is a restricted version of the Deutsch–Jozsa algorithm where instead...
226 KB (21,921 words) - 01:06, 4 March 2025
algorithms, chapter 7 includes material on quantum complexity theory and the Deutch algorithm, Deutsch–Jozsa algorithm, Bernstein–Vazirani algorithm,...
6 KB (655 words) - 20:46, 7 December 2024
{1}{2}}} . Hamiltonian simulation Quantum simulation Ethan Bernstein and Umesh Vazirani (1997). "Quantum Complexity Theory". SIAM Journal on Computing...
4 KB (762 words) - 00:28, 29 July 2024
Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor...
40 KB (5,855 words) - 18:05, 25 February 2025
Cryptographically secure pseudorandom number generator (category Cryptographic algorithms)
G_{1}} as the pseudorandom output block of the current period. Santha and Vazirani proved that several bit streams with weak randomness can be combined to...
29 KB (3,626 words) - 23:50, 31 January 2025
Hadamard transform (category Quantum algorithms)
the Deutsch–Jozsa algorithm, Simon's algorithm, the Bernstein–Vazirani algorithm, and in Grover's algorithm. Note that Shor's algorithm uses both an initial...
32 KB (4,724 words) - 18:33, 24 January 2025
Hidden subgroup problem (category Quantum algorithms)
especially important in the theory of quantum computing because Shor's algorithms for factoring and finding discrete logarithms in quantum computing are...
12 KB (2,031 words) - 12:47, 16 January 2025
quantum computation has been demonstrated by running the 2 qubit Grover's algorithm on a 2x2 cluster state of photons. A linear optics quantum computer based...
43 KB (6,454 words) - 12:34, 15 February 2025
Post-quantum cryptography (redirect from Algorithms for post-quantum cryptography)
quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are currently thought to be secure against a cryptanalytic...
62 KB (6,366 words) - 18:21, 6 March 2025
In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary...
14 KB (2,887 words) - 06:19, 25 February 2025
Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the...
25 KB (3,576 words) - 03:12, 3 March 2025
Key size (section Symmetric algorithm key lengths)
are widely thought most vulnerable to Grover's algorithm. Bennett, Bernstein, Brassard, and Vazirani proved in 1996 that a brute-force key search on...
29 KB (3,213 words) - 22:55, 14 February 2025
The Harrow–Hassidim–Lloyd algorithm or HHL algorithm is a quantum algorithm for numerically solving a system of linear equations, designed by Aram Harrow...
36 KB (4,995 words) - 01:11, 16 November 2024
Chernoff bound (redirect from Bernstein-Chernoff inequality)
Refer to this book section for more info on the problem. Kearns, M.; Vazirani, U. (1994). An Introduction to Computational Learning Theory. MIT Press...
32 KB (5,086 words) - 07:04, 1 September 2024
Variational quantum eigensolver (category Quantum algorithms)
eigensolver (VQE) is a quantum algorithm for quantum chemistry, quantum simulations and optimization problems. It is a hybrid algorithm that uses both classical...
17 KB (2,390 words) - 09:38, 2 March 2025
Magic state distillation (category Algorithms)
Clifford gates are also universal. The first magic state distillation algorithm, invented by Sergey Bravyi and Alexei Kitaev, is as follows. Input: Prepare...
7 KB (791 words) - 19:23, 5 November 2024
Hidden linear function problem (category Quantum algorithms)
problem, is a search problem that generalizes the Bernstein–Vazirani problem. In the Bernstein–Vazirani problem, the hidden function is implicitly specified...
4 KB (653 words) - 21:29, 12 March 2024
Quantum complexity theory (section Grover's algorithm)
41. ISBN 978-0-521-63503-5. OCLC 174527496. Nielsen, p. 201 Bernstein, Ethan; Vazirani, Umesh (1997). "Quantum Complexity Theory". SIAM Journal on Computing...
27 KB (3,632 words) - 15:27, 16 December 2024
Quantum counting algorithm is a quantum algorithm for efficiently counting the number of solutions for a given search problem. The algorithm is based on the...
12 KB (1,678 words) - 00:54, 22 January 2025
Quantum annealing (category Optimization algorithms and methods)
Apolloni, N. Cesa Bianchi and D. De Falco as a quantum-inspired classical algorithm. It was formulated in its present form by T. Kadowaki and H. Nishimori...
31 KB (3,323 words) - 10:16, 16 January 2025
Information. Cambridge: Cambridge University Press. ISBN 0-521-63503-9. Bernstein, Ethan; Vazirani, Umesh (October 1997). "Quantum Complexity Theory". SIAM Journal...
23 KB (3,518 words) - 07:19, 20 June 2024
Quantum sort (category Sorting algorithms)
A quantum sort is any sorting algorithm that runs on a quantum computer. Any comparison-based quantum sorting algorithm would take at least Ω ( n log...
2 KB (165 words) - 21:49, 25 February 2025