Demonstrating advantages of dynamic quantum circuits on a hybrid superconducting qubit-cavity processor

• URL: http://arxiv.org/abs/2608.04780v1
• Date: Wed, 05 Aug 2026 12:46:55 GMT
• Title: Demonstrating advantages of dynamic quantum circuits on a hybrid superconducting qubit-cavity processor
• Abstract summary: Dynamic quantum circuits (DQCs) provide a hardware-efficient route to quantum computing.<n>We demonstrate the advantages of DQCs on a single hybrid superconducting qubit-cavity processor.<n>We implement a 10-bit Bernstein-Vazirani algorithm with an average success probability of 82%, surpassing state-of-the-art dynamic and static implementations in both scale and performance.
• Score: 18.157996750929744
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Dynamic quantum circuits (DQCs) provide a hardware-efficient route to quantum computing by reducing physical-qubit overhead and compressing circuit topology through mid-circuit measurements, qubit reset and reuse, and classical feed-forward control. Here, we demonstrate the advantages of DQCs on a single hybrid superconducting qubit-cavity processor by implementing a hierarchy of algorithms with increasing complexity. This hybrid architecture consists of a high-dimensional cavity qudit serving as the computational register and a dispersively coupled superconducting transmon ancilla that is repeatedly measured, reset, and reused to enable dynamic control. Using this device, we implement a 10-bit Bernstein-Vazirani algorithm with an average success probability of 82%, surpassing state-of-the-art dynamic and static implementations in both scale and performance; an 8-bit quantum phase-estimation protocol with estimation errors below 10-3; and the first dynamic-circuit implementation of Shor's algorithm on a superconducting platform, factoring 15 over all coprime bases with squared statistical overlap values above 99.8%. These results provide concrete benchmarks for future DQC implementations and highlight the versatile advantages of DQCs with the hybrid qubit-qudit architecture, establishing it as a promising route toward scalable, programmable quantum computation.

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