The Bernstein–Vazirani algorithm, which solves the Bernstein–Vazirani problem, is a quantum algorithm invented by Ethan Bernstein and Umesh Vazirani in...

The Bernstein–Vazirani algorithm is the first quantum algorithm that solves a problem more efficiently than the best known classical algorithm. It was...

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...

separation that the Bernstein–Vazirani algorithm achieves, and different from the separation provided by the Deutsch–Jozsa algorithm, which separates P...

whether f ( x ) {\displaystyle f(x)} is constant or balanced. Bernstein–Vazirani algorithm David Deutsch & Richard Jozsa (1992). "Rapid solutions of problems...

finding the right input). Charles H. Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani proved that any quantum solution to the problem needs...

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...

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...

computer. Ethan Bernstein and Umesh Vazirani propose the Bernstein–Vazirani algorithm. It is a restricted version of the Deutsch–Jozsa algorithm where instead...

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...

large integers efficiently. The Deutsch-Josza algorithm, and by association the Bernstein-Vazirani algorithm, determines whether an inputted function is...

algorithms, chapter 7 includes material on quantum complexity theory and the Deutch algorithm, Deutsch–Jozsa algorithm, Bernstein–Vazirani algorithm,...

In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary...

In quantum computing, the Brassard–Høyer–Tapp algorithm or BHT algorithm is a quantum algorithm that solves the collision problem. In this problem, one...

especially important in the theory of quantum computing because Shor's algorithms for factoring and finding discrete logarithms in quantum computing are...

are widely thought most vulnerable to Grover's algorithm. Bennett, Bernstein, Brassard, and Vazirani proved in 1996 that a brute-force key search on...

The Harrow–Hassidim–Lloyd algorithm or HHL algorithm is a quantum algorithm for numerically solving a system of linear equations, designed by Aram Harrow...

quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are currently thought to be secure against a cryptanalytic...

{1}{2}}} . Hamiltonian simulation Quantum simulation Ethan Bernstein and Umesh Vazirani (1997). "Quantum Complexity Theory". SIAM Journal on Computing...

Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the...

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...

enough to demonstrate quantum supremacy. Bouland, Fefferman, Nirkhe and Vazirani gave, in 2018, theoretical evidence that efficiently simulating a random...

 41. ISBN 978-0-521-63503-5. OCLC 174527496. Nielsen, p. 201 Bernstein, Ethan; Vazirani, Umesh (1997). "Quantum Complexity Theory". SIAM Journal on Computing...

Refer to this book section for more info on the problem. Kearns, M.; Vazirani, U. (1994). An Introduction to Computational Learning Theory. MIT Press...

the context of quantum computing, the quantum walk search is a quantum algorithm for finding a marked node in a graph. The concept of a quantum walk is...

Clifford gates are also universal. The first magic state distillation algorithm, invented by Sergey Bravyi and Alexei Kitaev, is as follows. Input: Prepare...

eigensolver (VQE) is a quantum algorithm for quantum chemistry, quantum simulations and optimization problems. It is a hybrid algorithm that uses both classical...

many quantum algorithms, notably Shor's algorithm for factoring and computing the discrete logarithm, the quantum phase estimation algorithm for estimating...

a physical or abstract qubit that performs as specified in a quantum algorithm or quantum circuit subject to unitary transformations, has a long enough...

generalizes the idea behind Grover's search algorithm, and gives rise to a family of quantum algorithms. It was discovered by Gilles Brassard and Peter...