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The execution of quantum circuits on real systems has largely been limited tothose which are simply time-ordered sequences of unitary operations followed bya projective measurement. As hardware platforms for quantum computing continueto mature in size and capability, it is imperative to enable quantum circuitsbeyond their conventional construction. Here we break into the realm of dynamicquantum circuits on a superconducting-based quantum system. Dynamic quantumcircuits involve not only the evolution of the quantum state throughout thecomputation, but also periodic measurements of a subset of qubits mid-circuitand concurrent processing of the resulting classical information withintimescales shorter than the execution times of the circuits. Using noisyquantum hardware, we explore one of the most fundamental quantum algorithms,quantum phase estimation, in its adaptive version, which exploits dynamiccircuits, and compare the results to a non-adaptive implementation of the samealgorithm. We demonstrate that the version of real-time quantum computing withdynamic circuits can offer a substantial and tangible advantage when noise andlatency are sufficiently low in the system, opening the door to a new realm ofavailable algorithms on real quantum systems.

Exploiting dynamic quantum circuits in a quantum algorithm with superconducting qubits