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I am Newbie in Quantum Computing World.

While studying on my own, I was curious about one thing, so I asked this question.

My question is as follows:

  1. When I configure the superposition states of qubits through Hadamard gate and input this to a certain function, for output superposition states of qubits, is there a way to mark only two cases that meet certain conditions through checker qubits?

For example, consider the superposition states with the number of $2^{128}$ cases composed of 128 qubits (meaning after passing through the Hadamard gate).

Let's say we input this to a certain function (running on the quantum circuit) and get the output as superposition states. At this time, I want to mark in checker qubit(or ancill qubit) only two inputs that satisfy a specific value by performing xor (exclusive or) among the outputs. Are there any algorithms that can do this?

All the best!

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  • $\begingroup$ Welcome! Please only include one question per post :) $\endgroup$
    – met927
    Apr 13 at 13:44
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    $\begingroup$ @met927 I edited it! $\endgroup$ Apr 13 at 14:56

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