3 papers
quant-ph2026
Transversal non-Clifford gates on almost-good quantum LDPC and quantum locally testable codes
Yiming Li, Zimu Li, Zi-Wen Liu
We exhibit nontrivial transversal logical multi-controlled- gates on quantum low-density parity-check (qLDPC) codes with soundness , comb…
quant-ph2023
SU(d)-Symmetric Random Unitaries: Quantum Scrambling, Error Correction, and Machine Learning
Zimu Li, Han Zheng, Yunfei Wang +3
Quantum information processing in the presence of continuous symmetry is of wide importance and exhibits many novel physical and mathematical phenomena. SU(d) is a continuous group…
quant-ph2023
Designs from Local Random Quantum Circuits with SU(d) Symmetry
Zimu Li, Han Zheng, Junyu Liu +2
The generation of -designs (pseudorandom distributions that emulate the Haar measure up to moments) with local quantum circuit ensembles is a problem of fundamental importan…