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Logical-Space Theory of Ordered-Statistics Decoding for Quantum LDPC Codes
Yun Shang
Quantum decoding succeeds when a correction matches the logical class of the error, whereas ordered-statistics decoding (OSD) searches a finite list of physical corrections. We con…
Quantum Divide-and-Conquer for the Traveling Salesman Problem: Surpassing the Barrier
Xujun Bai, Yun Shang, Honghong Lin
The traveling salesman problem (TSP) is a classic NP-hard problem. Held--Karp dynamic programming~\cite{held1962dynamic, bellman1962dynamic} solves it exactly in time,…
Hybrid Gaussian-exponential zero-noise extrapolation for periodic circuits
Tao Wang, Yun Shang
Zero-noise extrapolation provides a practical means of suppressing gate errors in current noisy intermediate-scale quantum hardware. The accuracy of the zero-noise estimate depends…
Beyond Single Trajectories: Optimal Control and Jordan-Lie Algebra in Hybrid Quantum Walks for Combinatorial Optimization
Tianen Chen, Yun Shang
The Quantum Approximate Optimization Algorithm (QAOA) follows a single, fixed evolution path, overlooking the potential computational advantage of coherently superposing multiple t…