9 papers
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…
Generalized toric codes as qudit low-density parity-check codes
Zijian Liang, Yu-An Chen
We study two-dimensional translation-invariant CSS stabilizer codes over prime-dimensional qudits on the square lattice under twisted boundary conditions, generalizing the Kitaev $…
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…