4 citations · 5 across the 10 of their papers we have counts for
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Theory of spacetime quantum fault tolerance
Yijia Xu, Yixu Wang, Zi-Wen Liu
We present a unified algebraic theory of Clifford spacetime quantum fault tolerance, which underpins universal fault-tolerant quantum computation. We construct a spacetime chain co…
Coherent error threshold for quantum LDPC codes
Zhengyi Han, Yuanchen Zhao, Yijia Xu +2
A key appeal of quantum low-density parity check (qLDPC) codes is their ability to suppress stochastic Pauli noise below nonzero thresholds. Coherent errors are fundamentally diffe…
Near-optimal synthesis of non-Gaussian phase gates via qubit-oscillator Rabi control
Zhen Yang, Shan Jin, Zi-Wen Liu +1
Non-Gaussian gates remain a key bottleneck for universal continuous-variable (CV) quantum computation because the nonlinearities they require are difficult to engineer. To address…
On the geometry and typicality of quantum magic
Zhenhuan Liu, Zi-Wen Liu
We prove that, for an -qubit system of dimension , every state satisfying , with , lies inside the stabiliz…
Entirely nonlocal quantum magic without entanglement
Fuchuan Wei, Ruixia Wang, Yujia Zhang +4
Nonstabilizerness, or magic, is an archetypal \emph{quantum} resource that is necessary for quantum computational advantage. Here we uncover a phenomenon seemingly at odds with the…
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…
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…
Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection
Zhenhuan Liu, Tobias Haug, Qi Ye +2
We introduce a mixed-state magic criterion, the Triangle Criterion, which plays a role for magic analogous to the Positive Partial Transposition (PPT) Criterion for entanglement: i…
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…
Efficient fault-tolerant implementations of non-Clifford gates with reconfigurable atom arrays
Yi-Fei Wang, Yixu Wang, Yu-An Chen +6
To achieve scalable universal quantum computing, we need to implement a universal set of logical gates fault-tolerantly, for which the main difficulty lies with non-Clifford gates.…