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Logical computation with canonical lifted product codes
Han Zheng, Guo Zheng, Liang Jiang +1
High-rate quantum low-density parity-check (qLDPC) codes encode many logical qubits with low physical-qubit overhead, but realizing efficient fault-tolerant computation on such den…
High-Rate Surgery: towards constant-overhead logical operations
Guo Zheng, Liang Jiang, Qian Xu
Scalable quantum computation requires not only quantum codes with low memory overhead but also encoded operations with low space-time overhead. High rate quantum low-density parity…
Achievable rates for concatenated square Gottesman-Kitaev-Preskill codes
Mahadevan Subramanian, Guo Zheng, Liang Jiang
The Gottesman-Kitaev-Preskill (GKP) codes are known to achieve optimal rates under displacement noise and pure loss channels, which establishes theoretical foundations for its opti…
Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes
J. Pablo Bonilla Ataides, Hengyun Zhou, Qian Xu +4
We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes. Our approach maintains a con…
Fast and Parallelizable Logical Computation with Homological Product Codes
Qian Xu, Hengyun Zhou, Guo Zheng +4
Quantum error correction is necessary to perform large-scale quantum computation, but requires extremely large overheads in both space and time. High-rate quantum low-density-parit…