11 citations · 29 across the 8 of their papers we have counts for
9 papers · 1 filter
Topological subsystem bivariate bicycle codes with four-qubit check operators
Zijian Liang, Yu-An Chen
High-rate bivariate bicycle (BB) codes are promising low-overhead quantum memories, but their stabilizer checks typically have weight or higher, making syndrome extraction chal…
Resolving spurious topological entanglement entropy in stabilizer codes
Peilun Han, Zijian Liang, Yifei Wang +3
Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter, but it can suffer from spurious contributions that…
Self-dual bivariate bicycle codes with transversal Clifford gates
Zijian Liang, Yu-An Chen
Bivariate bicycle codes are promising candidates for high-threshold, low-overhead fault-tolerant quantum memories. Meanwhile, color codes are the most prominent self-dual CSS codes…
Planar quantum low-density parity-check codes with open boundaries
Zijian Liang, Jens Niklas Eberhardt, Yu-An Chen
Although high-threshold and low-overhead quantum low-density parity-check (qLDPC) codes, such as bivariate bicycle (BB) codes, can reduce the physical-qubit cost by an order of mag…
Anyon Theory and Topological Frustration of High-Efficiency Quantum Low-Density Parity-Check Codes
Keyang Chen, Yuanting Liu, Yiming Zhang +4
Quantum low-density parity-check (QLDPC) codes offer a promising path to low-overhead fault-tolerant quantum computation but lack systematic strategies for exploration. In this Let…
Generalized toric codes on twisted tori for quantum error correction
Zijian Liang, Ke Liu, Hao Song +1
The Kitaev toric code is widely considered one of the leading candidates for error correction in fault-tolerant quantum computation. However, direct methods to increase its logical…
Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
Zijian Liang, Bowen Yang, Joseph T. Iosue +1
Quantum low-density parity-check codes, such as the Kitaev toric code and bivariate bicycle codes, are often defined with periodic boundary conditions, which are difficult to reali…
Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
Zijian Liang, Yijia Xu, Joseph T. Iosue +1
In this paper, we introduce an algorithm for extracting topological data from translation invariant generalized Pauli stabilizer codes in two-dimensional systems, focusing on the a…
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.…