4 papers · 1 filter
Fast-forwardable Lindbladians imply quantum phase estimation
Zhong-Xia Shang, Naixu Guo, Patrick Rebentrost +3
Quantum phase estimation (QPE) and Lindbladian dynamics are both foundational in quantum information science and central to quantum algorithm design. In this work, we bridge these…
Bra-ket entanglement, an indicator bridging entanglement, magic, and coherence
Zhong-Xia Shang, Si-Yuan Chen, Wenjun Yu +2
Understanding the intricate interplay between distinct quantum resources is a fundamental prerequisite for rigorously characterizing the boundary between classical and quantum tech…
Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
Zhong-Xia Shang, Naixu Guo, Dong An +1
Solving linear ordinary differential equations (ODE) is one of the most promising applications for quantum computers to demonstrate exponential advantages. The challenge of designi…
Entanglement-induced exponential advantage in amplitude estimation via state matrixization
Zhong-Xia Shang, Qi Zhao
Estimating quantum amplitude, or the overlap between two quantum states, is a fundamental task in quantum computing and underpins numerous quantum algorithms. In this work, we intr…