From the 1 of 9 linked papers with an AI index.
9 papers
Graph Theoretic Approach to Quantum Nonstabilizerness
Yingjian Liu, Albert Gasull, Mengyao Hu +3
The paper studies how graph structures of Pauli measurements can be used to efficiently certify quantum magic (nonstabilizerness) without full state tomography.
Regularity of Lyapunov exponents at one-point Lyapunov spectra: the semisimple case
Yingjian Liu, Marcelo Viana
We study the regularity of Lyapunov exponents as functions on the space of compactly supported probability measures on . We prove that the Lyapunov expon…
Unifying Qubit Routing Across Diverse Quantum ISAs via Canonical Representation
Zhaohui Yang, Kai Zhang, Xinyang Tian +6
Qubit mapping/routing is a critical stage in compilation for both near-term and fault-tolerant quantum computers, yet existing scalable methods typically impose several times the r…
Quantum Algorithm for Reversing Unknown Unitary Evolutions
Yu-Ao Chen, Yin Mo, Yingjian Liu +2
Reversing an unknown quantum evolution is of central importance to quantum information processing and fundamental physics, yet it remains a formidable challenge as conventional met…
Sample-Efficient Estimation of Nonlinear Quantum State Functions
Hongshun Yao, Yingjian Liu, Tengxiang Lin +1
Efficient estimation of nonlinear functions of quantum states is crucial for various key tasks in quantum computing, such as entanglement spectroscopy, fidelity estimation, and fea…
Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
Yingjian Liu, Piotr Sierant, Paolo Stornati +2
Inverse Participation Ratios (IPRs) and the related Participation Entropies quantify the spread of a quantum state over a selected basis of the Hilbert space, offering insights int…