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QI: Fachverband Quanteninformation
QI 23: Quantum Control
QI 23.4: Vortrag
Donnerstag, 21. März 2024, 10:15–10:30, HFT-FT 131
Quantum Circuits Noise Tailoring from a Geometric Perspective — •Junkai Zeng1,2, Yong-Ju Hai2, Hao Liang1,2, and Xiu-Hao Deng1,2 — 1Shenzhen Institute for Quantum Science and Engineering (SIQSE), Southern University of Science and Technology, Shenzhen, P. R. China — 2nternational Quantum Academy (SIQA), and Shenzhen Branch, Hefei National Laboratory, Futian District, Shenzhen, P. R. China
Quantum errors resulting from unwanted interactions with noisy environments pose a significant challenge to the advancement of quantum information technology. It is well known that quantum gates can resist noise by optimizing control pulse waveforms. On the other hand, despite using noisy individual gate operations, high-fidelity quantum circuit output can still be achieved through optimized, noise-aware circuit compilation. We show that a recently developed geometric tool for controlling and analyzing continuous noisy qubit dynamics, termed Quantum Erroneous Evolution Diagram (QEED), can be extended to study quantum errors at the circuit level. We show how introducing twirling operations can create equivalent quantum circuits with altered evolution diagrams that exhibit reduced error, and randomized compiling is essentially analogous to averaging over an ensemble of random walk trajectories from this viewpoint. We further show how combining randomized compiling with robust quantum control at the gate level can significantly enhance circuit fidelity.
Keywords: Quantum Compiling; Dynamical Decoupling; Randomized Compiling; Quantum Optimal Control; Dynamically Corrected Gate