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An oracle is a "black box" operation (function) that is used as an input to an another algorithm (for example Deutch-Jozsa, Grover etc.). A parameter or feature of the Oracle is infered by the algorithm.

4 votes
2 answers
327 views

Given $f: \{0, 1\}^n\to\{0, 1\}^m$, how many qubits are needed to implement the oracle $\mat...

Suppose I am given a function $f: \{0, 1\}^n \to \{0, 1\}^m$. A standard oracle would be of the form $\mathcal{U}|x\rangle|0\rangle^{\otimes m} = |x\rangle|f(x)\rangle$. I would suspect that this enco …
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  • 195
4 votes
1 answer
91 views

Can the oracle for $f:\{0,1\}^n \rightarrow \{0,1\}^m$ be implemented with only $n+m$ qubits?

(Part 1: Required ancilla qubits for a given function's oracle) The question is that given a Boolean function $f:\{0,1\}^n \rightarrow \{0,1\}^m$, how many ancilla qubits are required to build its sta …
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  • 195
1 vote
0 answers
123 views

How does Qiskit's oracle synthesizer work?

Qiskit provides a phase oracle method that takes a Boolean formula as input and returns a phase oracle circuit for that function as output. Their source code informed me that the synthesis uses the Tw …
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  • 195