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  1. The Deutsch–Jozsa problem is specifically designed to be easy for a quantum algorithm and hard for any deterministic classical algorithm. It is a black box problem that can be solved efficiently by a quantum computer with no error, whereas a deterministic classical computer would need a exponential number of queries to the black box to solve ...

  2. 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...

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  4. quantum algorithms, i.e. algorithms harnessing the four postulates of quantum mechanics. We begin with a very simple quantum algorithm due to David Deutsch, which is by no means new (it was discovered in 1985),

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  5. 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 \[U_{f} | x>_{A} | y >_{B} = | x >_{A} | y \oplus f(x) >_{B}\]

  6. Overview. Quantum algorithms are usually described, in the commonly used circuit model of quantum computation, by a quantum circuit that acts on some input qubits and terminates with a measurement. A quantum circuit consists of simple quantum gates, each of which acts on some finite number of qubits.

  7. ‍. Implementing Deutsch's algorithm on Qiskit. Step One : Create a 2-qubit circuit. qc =QuantumCircuit( 2, 1 ) qc .i( 0 ) qc .x( 1 ) qc .draw(output='mpl') 𝑞0 is set to |0 and 𝑞1 is set to |1 . Step Two : Apply a Hadamard gate to all qubits.

  8. Deutsch’s algorithm was the rst algorithm that demonstrated a quantum advantage: speci cally a reduction in query complexity compared to the classical case. The Deutsch-Jozsa algorithm generalises Deutsch’s algorithm, and reveals the possibility of exponential speed-ups using quantum computers. 18/18

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