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With the increasing size of quantum processors, sub-modules that constitutethe processor hardware will become too large to accurately simulate on aclassical computer. Therefore, one would soon have to fabricate and test eachnew design primitive and parameter choice in time-consuming coordinationbetween design, fabrication, and experimental validation. Here we show how onecan design and test the performance of next-generation quantum hardware -- byusing existing quantum computers. Focusing on superconducting transmonprocessors as a prominent hardware platform, we compute the static and dynamicproperties of individual and coupled transmons. We show how the energy spectraof transmons can be obtained by variational hybrid quantum-classical algorithmsthat are well-suited for near-term noisy quantum computers. In addition,single- and two-qubit gate simulations are demonstrated via Suzuki-Trotterdecomposition. Our methods pave a promising way towards designing candidatequantum processors when the demands of calculating sub-module properties exceedthe capabilities of classical computing resources.

Quantum computer-aided design: digital quantum simulation of quantum processors