5 papers
Hamiltonian dynamics from pure dissipation
Zhong-Xia Shang, Daniel Stilck França
The fundamental difference between closed and open quantum dynamics lies in their environmental interaction: closed systems are perfectly isolated and evolve reversibly under unita…
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…
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…
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…