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What does Deutsch Jozsa algorithm do?

Posted on October 16, 2019 by Author

What does Deutsch Jozsa algorithm do?

The Deutsch–Jozsa problem is specifically designed to be easy for a quantum algorithm and hard for any deterministic classical algorithm. More formally, it yields an oracle relative to which EQP, the class of problems that can be solved exactly in polynomial time on a quantum computer, and P are different.

Why do we care about quantum computing?

Quantum computers have the potential to revolutionize computation by making certain types of classically intractable problems solvable. While no quantum computer is yet sophisticated enough to carry out calculations that a classical computer can’t, great progress is under way.

What is the number of queries to quantum oracle required to solve the Deutsch jozsa problem for a function that takes n qubits as input?

With the generalized Deutsch-Josza problem where an n-bit oracle contains a function which is either constant or balanced, the quantum algorithm again only has to query it once but the (deterministic) classical algorithm requires 2n−1 queries.

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What are the uses of quantum computing?

Top Applications Of Quantum Computing Everyone Should Know About

  • Artificial Intelligence & Machine Learning.
  • Computational Chemistry.
  • Drug Design & Development.
  • Cybersecurity & Cryptography.
  • Financial Modelling.
  • Logistics Optimisation.
  • Weather Forecasting.

What is an oracle in quantum computing?

Quantum Oracle is a black box used extensively in quantum algorithms for the estimation of functions using qubits. Estimation in a classical computer is set up with an n-dimensional input x producing an m-dimensional output f(x)

What would be the cybersecurity implications of quantum computing?

Large-scale quantum computers will significantly expand computing power, creating new opportunities for improving cybersecurity. Quantum-era cybersecurity will wield the power to detect and deflect quantum-era cyberattacks before they cause harm.

What does Fourier series represent?

A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions. It is analogous to a Taylor series, which represents functions as possibly infinite sums of monomial terms. A sawtooth wave represented by a successively larger sum of trigonometric terms.

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