6 papers
Witness expansion: A unified framework for analytical and measurable mixed-state resource detection
Yifan Tang, Chengkai Zhu, Yuzhen Zhang +6
Quantum information science aims to harness different kinds of quantum resources to accomplish specific information-processing tasks. These resources also play an increasingly impo…
No Universal Purification in Quantum Mechanics
Zhenhuan Liu, Zhenyu Du, Jens Eisert +2
Many central tasks in fundamental physics and quantum information processing are possible only insofar as mixed quantum states can be made purer. In this work, we prove that the li…
Approximate quantum error correction theory of non-isometric codes
Yixu Wang, Yijia Xu, Zi-Wen Liu
Non-isometric encoding arises in various important contexts in quantum error correction, most notably in the finite-energy, non-ideal codewords inevitable in experimental realizati…
A framework for low-overhead quantum fault tolerance via spacetime lifting
Yijia Xu, Yixu Wang, Zi-Wen Liu
Fault-tolerant quantum computation is inherently a spacetime problem, requiring not merely good static quantum error-correcting codes but also low-overhead protocols for protecting…
On the KAK Decomposition and Equivalence Classes
Dawei Ding, Yu Liu, Zi-Wen Liu
The KAK decomposition is a fundamental tool in Lie theory and quantum computing. Despite its widespread use, the mathematical foundations remain incomplete, particularly regarding…
Tessellation codes: encoded quantum gates by geometric rotation
Yixu Wang, Yijia Xu, Zi-Wen Liu
We utilize the symmetry groups of regular tessellations on two-dimensional surfaces of different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to…