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  1. The DeutschJozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve, Artur Ekert, Chiara Macchiavello, and Michele Mosca in 1998. [1] [2] Although of little practical use, it is one of the first examples of a quantum algorithm that is exponentially faster than ...

  2. Mar 4, 2021 · The Deutsch algorithm is a quantum algorithm capable of determining the value of \ (f_ {i} (0) \oplus f_ {i} (1)\) by making only a single query to a quantum oracle for \ (f\). The oracle can be expressed as a unitary operator. \ [U_ {f} | x>_ {A} | y >_ {B} = | x >_ {A} | y \oplus f (x) >_ {B}\] fromqiskitimportQuantumCircuit,QuantumRegister ...

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  4. 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

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  5. Jan 28, 2021 · 17 min read. ·. Jan 28, 2021. A thorough guide to the Deutsch-Jozsa Algorithm in practice, including a overview and explanation of the mathematics, a complete Circuit, and an example...

  6. This circuit defines the Deutsch-Jozsa algorithm: i.e., the generalization of the Deutsch algorithm for the multivariate binary case. The final outcome is that if we measure the top qubit in the circuit above, we will only get $|\mathbf{0} \rangle$ if the function is constant!

  7. What is the Deutsch-Jozsa algorithm? Using the Deutsch-Jozsa approach, it is possible to determine if a given Boolean function is constant or balanced. Consider a function that takes input values of 0 and 1, and outputs values of 0 or 1. The function is considered constant only if all outputs are 0 or all outputs are 1.

  8. young.physics.ucsc.edu › 150 › deutschDeutsch’s Algorithm

    Oct 24, 2019 · Deutsch’s Algorithm. Peter Young. (Dated: October 24, 2019) I. INTRODUCTION. We now turn to our first algorithm, due to David Deutsch1 (1985) which is generally felt to have started2 the field of quantum computing. As we shall see the problem is very trivial. It concerns functions which takes a 1-qubit argument and give a 1-qubit output.

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