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quant-ph2026
Transducer-based linear combination of unitaries: theory and applications
Dong An, Dekuan Dong, Changpeng Shao +2
Linear combination of unitaries (LCU) is a fundamental primitive in quantum algorithms, whose cost is typically governed by the most expensive unitary appearing in the combination.…
quant-ph2026
Quantum space-depth tradeoffs for coherent block encodings
Yuxin Zhang, Changpeng Shao
Block encodings are a basic interface between quantum algorithms and linear algebra. Standard LCU constructions achieve optimal circuit depth but typically require logarithmically…
quant-ph2026
Worst-case Harrow-Hassidim-Lloyd algorithm with average-case correct quantum Fourier transform
Changpeng Shao
In [\href{https://quantum-journal.org/papers/q-2022-12-07-872/}{Quantum 6, 872, 2022}], Linden and de Wolf proposed a lightweight protocol for verifying average-case correctness of…