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  1. The Deutsch–Jozsa 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. Jan 28, 2021 · The Deutsch-Jozsa Algorithm — Math, Circuits, and Code: Quantum Algorithms Untangled. A thorough guide to the Deutsch-Jozsa Algorithm in practice, including a overview and explanation of the ...

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  4. 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. The QasmSimulator backend is designed to mimic an actual device. It executes a Qiskit QuantumCircuit and returns a ...

  5. Let us see how we would construct this algorithm. Let us substitute heads with 0 and tails with 1, since there can only be two possible outcomes. Then the result of each hand can be the result of applying a function 𝑓 to a set of inputs which maps a single bit(0 or 1) to 𝑓(0) or 𝑓(1) If 𝑓(0)=𝑓(1) then f is constant otherwise it ...

  6. Introduction to quantum computing: The Deutsch algorithm. Sources: “Quantum computing for computer scientists”, N. Yanofsky and M. Mannucci, Cambridge Press, 2008. This is part of a (probably) long list of posts regarding quantum computing. So far we defined quantum states and systems; we saw some complex logic and how quantum states entail ...

  7. Conclusion. If f is constant, the algorithm outputs 0, and if f is balanced, the algorithm outputs 1. Thus, the algorithm decides whether fis constant or balanced, using just a single query! 3.3 The phase kickback trick We’ve analyzed Deutsch’s algorithm using a brute force calculation, but there’s a more intuitive view which

  8. Jun 7, 2021 · Deutsch and Deutsch-Jozsa Algorithm: Statement. Deutsch’s algorithm addresses the question — Given a function f:0,1 0,1 and without knowing anything more than that, determine whether f is a ...

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