Constant-depth fan-out with real-time feedforward on a superconducting quantum processor
Yongxin Song, Liberto Beltrán, Ilya Besedin, Michael Kerschbaum, Marek Pechal, François Swiadek, Christoph Hellings, Dante Colao Zanuz, Alexander Flasby, Jean-Claude Besse, Andreas Wallraff
DOI 10.1103/q418-pydy · Physical Review Applied
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Abstract
When using unitary gate sequences, the growth in depth of many quantum circuits with output size poses significant obstacles to practical quantum computation. The quantum fan-out operation, which reduces the circuit depth of quantum algorithms such as the quantum Fourier transform and Shor’s algorithm, is an example that can be realized in constant depth independent of the output size. Here, we demonstrate a quantum fan-out gate with real-time feedforward on up to four output qubits using a superconducting quantum processor. By performing quantum state tomography on the output states, we benchmark our gate with input states spanning the entire Bloch sphere. We decompose the output-state error into a set of independently characterized error contributions. We extrapolate our constant-depth circuit to offer a scaling advantage compared to the unitary fan-out sequence beyond 25 output qubits with feedforward control, or beyond 17 output qubits if the classical feedforward latency is negligible. Our work highlights the potential of midcircuit measurements combined with real-time conditional operations to improve the efficiency of complex quantum algorithms.
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