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I am trying to write a Qiskit code for a algorithm which uses qudits. I want to use qubits instead because $p$ value can go pretty high. Is it mathematically possible to convert qudit to qubit for this purpose?

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    $\begingroup$ You can always use log_2(d) qubits to represent a qudit. E.g., for 5 states use $|0\rangle \mapsto |000\rangle$, $|1\rangle \mapsto |001\rangle$ and so on. The overhead is, at most, twofold. The mappings of gates may be a bit annoying, though $\endgroup$
    – EvgeniyZh
    Sep 11, 2023 at 9:55
  • $\begingroup$ what do you mean with "convert" exactly? You cannot convert a generic qudit into a qubit and hope to faithfully retrieve the originally information, as a qudit holds more info than a qubit. But if you have a state spanned by only two qudit states, you can certainly remap ("encode") these into a single qubit. $\endgroup$
    – glS
    Sep 11, 2023 at 10:24
  • $\begingroup$ protocol uses qudits to transmit data. mathematically protocol is efficient. Paper is mathematical in nature and I am trying to see if protocol can be implemented on quantum computer. Issue here is d-value can rise very high since protocol uses Shamir's Secret sharing and d needs to be high in realistic conditions. I was thinking of using qubits to transmit data instead. $\endgroup$ Sep 11, 2023 at 11:10

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