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A quantum volume serves as a metric of a quantum processor quality. So far, IBM Quantum provides processors with quantum volume up to 128. Freely accessbile processors have QV up to 32. A user using free access can employ fake processors (see details here) to simulate behavior of her/his circuits on processor with QV higher than 32.

However what about simulation of processors with QV above 128? Is it possible to somehow set qasm_simulator to behave like a processor with given quantum volume?

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Bear in mind that if you operate on a subset of $n$ qubits, then your QV is at most $2^n$. Hence the answer below assumes that you'd like to experiment with a simulator that has $n$ qubits but some $QV = 2^m$ where $m < n$.

I am not aware of a solution out of the box, but you could:

  • specify noise models and coupling map for your simulator
  • compute such setup's QV
  • iterate on noise parameters until you reach your desired QV.

By definition your simulator has QV essentially equal to 2 to the power of number of qubits, so you are essentially trying to force some limitations onto it.

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  • $\begingroup$ Thank you for the answer. However, QV is more or less $2^n$, not $n^2$, right? $\endgroup$ Dec 20 '21 at 7:24
  • $\begingroup$ Of course you are right, thank you! I have corrected my answer $\endgroup$
    – 3yakuya
    Dec 20 '21 at 15:59

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