51 citations · 96 across the 15 of their papers we have counts for
16 papers
NLTM Hamiltonians from gauged sheaf quantum locally testable codes
Fuchuan Wei, Zhengyi Han, Zimu Li +1
Understanding the complexity of low-energy quantum states is a central problem in quantum complexity theory and many-body physics. Here we prove the no low-energy trivial magic (NL…
Parallelizable and addressable transversal non-Clifford gates on good quantum LDPC codes
Yiming Li, Zimu Li, Zi-Wen Liu +1
We achieve linearly many parallelizable and addressable transversal logical multi-controlled-Z gates with asymptotically optimal parameters simultaneously on good quantum low-densi…
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…
Scaling laws of electron and hole spin relaxation in indirect band gap (In,Al)As/AlAs quantum dots
T. S. Shamirzaev, D. R. Yakovlev, D. S. Smirnov +2
We investigate the electron and heavy hole spin dynamics as a function of magnetic field in ensembles of indirect band gap (In,Al)As/AlAs quantum dots (QDs) with type-I band alignm…
Theory of low-weight quantum codes
Fuchuan Wei, Zhengyi Han, Austin Yubo He +2
Low check weight is a crucial code property for fault-tolerant quantum computing, which underlies the strong interest in quantum low-density parity-check (qLDPC) codes. Here, we in…
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…
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…
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…
Unifying O(3) Equivariant Neural Networks Design with Tensor-Network Formalism
Zimu Li, Zihan Pengmei, Han Zheng +3
Many learning tasks, including learning potential energy surfaces from ab initio calculations, involve global spatial symmetries and permutational symmetry between atoms or general…
Toward Super-polynomial Quantum Speedup of Equivariant Quantum Algorithms with SU() Symmetry
Han Zheng, Zimu Li, Sergii Strelchuk +2
We introduce a framework of the equivariant convolutional quantum algorithms which is tailored for a number of machine-learning tasks on physical systems with arbitrary SU sym…
Speeding up Learning Quantum States through Group Equivariant Convolutional Quantum Ansätze
Han Zheng, Zimu Li, Junyu Liu +2
We develop a theoretical framework for -equivariant convolutional quantum circuits with SU-symmetry, building on and significantly generalizing Jordan's Permutational Qua…
Towards a variational Jordan-Lee-Preskill quantum algorithm
Junyu Liu, Zimu Li, Han Zheng +2
Rapid developments of quantum information technology show promising opportunities for simulating quantum field theory in near-term quantum devices. In this work, we formulate the t…
A Global Geometric Approach to Parallel Transport of Strings in Gauge Theory
Zimu Li
This paper is motivated by recent developments of higher gauge theory. Different from its style of using higher category theory, we try to describe the concept of higher parallel t…