4 papers · 1 filter
Poincaré Duality and Multiplicative Structures on Quantum Codes
Yiming Li, Zimu Li, Zi-Wen Liu +1
Quantum LDPC codes have attracted intense interest due to their advantageous properties for realizing efficient fault-tolerant quantum computing. In particular, sheaf codes represe…
No-go theorems for logical gates on product quantum codes
Esther Xiaozhen Fu, Han Zheng, Zimu Li +1
Quantum error-correcting codes are essential to the implementation of fault-tolerant quantum computation. Homological products of classical codes offer a versatile framework for co…
Efficient quantum pseudorandomness under conservation laws
Zimu Li, Han Zheng, Zi-Wen Liu
The efficiency of locally generating unitary designs, which capture statistical notions of quantum pseudorandomness, lies at the heart of wide-ranging areas in physics and quantum…
Convergence efficiency of quantum gates and circuits
Linghang Kong, Zimu Li, Zi-Wen Liu
We consider quantum circuit models where the gates are drawn from arbitrary gate ensembles given by probabilistic distributions over certain gate sets and circuit architectures, wh…