A new quantum low-density parity-check (LDPC) code offers promising advancements in quantum error correction. Koki Okada and Kenta Kasai from Institute of Science Tokyo have constructed a rate-2/3 code with parameters [[34542, 23032, d ≤ 310]] using a (3,18)-regular two-branch finite-field base and a circulant-permutation-matrix (CPM) lift. This construction yields a Calderbank-Shor-Steane (CSS) code with a girth of 8, demonstrating improved structural properties and potential for efficient decoding. Decoder experiments reveal no failures in a substantial number of trials, and finite-length frame error rate sweeps suggest a strong performance threshold, signifying a step towards more reliable quantum communication and computation. Enhanced stability in quantum error correction via a high-performance LDPC code Decoder experiments revealed no failures in 108 trials at a perturbation level of p=0.01, a substantial improvement over previous quantum low-density parity-check (LDPC) codes. Prior designs struggled to maintain stability at this scale, but this success indicates a strong performance threshold. A rate-2/3 CSS construction with a length of 34542, utilising a two-branch finite-field base and a circulant-permutation-matrix lift, achieves this enhanced stability and represents a major leap in error durability. Quantum error correction is crucial for building practical quantum computers, as qubits are inherently susceptible to decoherence and other noise sources. LDPC codes, known for their effectiveness in classical communication, are increasingly being adapted for quantum applications due to their ability to correct errors with relatively low overhead. The development of codes with higher thresholds, like this rate-2/3 code, is essential for mitigating the effects of noise and enabling fault-tolerant quantum computation. The rate-2/3 CSS construction, with a length of 34542, employs a two-branch finite-field base and a circulant-permutation-matrix lift of degree 101 to ensure durability. Base matrices possess a row weight of 18 and a column weight of 3, and the associated Tanner graphs exhibit a girth
Okada And Colleagues Develop Rate-2/3 <b>Quantum</b> LDPC Code For Enhanced Error Correction
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