Surface Code Design for Asymmetric Error Channels
arXiv:2111.01486 · doi:10.1049/qtc2.12042
Abstract
Surface codes are quantum error correcting codes normally defined on 2D arrays of qubits. In this paper, we introduce a surface code design based on the fact that the severity of bit flip and phase flip errors in the physical quantum systems is asymmetric. For our proposed surface code design for asymmetric error channels, we present pseudo-threshold and threshold values in the presence of various degrees of asymmetry of Pauli , , and errors in a depolarization channel. We show that, compared to symmetric surface codes, our asymmetric surface codes can provide almost double the pseudo-threshold rates while requiring less than half the number of physical qubits in the presence of increasing asymmetry in the error channel. We also demonstrate that as the asymmetry of the surface code increases, the advantage in the pseudo-threshold rates begins to saturate for any degree of asymmetry in the channel.
arXiv comment10 pages, 6 figures, 2 tables
References in corpus (30)
- Quantum Computing in the NISQ era and beyond
- Fault-tolerant quantum computation by anyons
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Surface codes: Towards practical large-scale quantum computation
- Good Quantum Error-Correcting Codes Exist
- Quantum Computational Supremacy
- Topological fault-tolerance in cluster state quantum computation
- High threshold universal quantum computation on the surface code
- A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
- Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
- Building a fault-tolerant quantum computer using concatenated cat codes
- Fault-tolerant quantum computation against biased noise
- Topological and subsystem codes on low-degree graphs with flag qubits
- Asymmetric quantum error correcting codes
- Fault-tolerant quantum computation with few qubits
- Fault-tolerant thresholds for the surface code in excess of 5% under biased noise
- Decoding Small Surface Codes with Feedforward Neural Networks
- Universal quantum computing with twist-free and temporally encoded lattice surgery
- Comparing neural network based decoders for the surface code
- Reinforcement Learning Decoders for Fault-Tolerant Quantum Computation
- Analysing correlated noise on the surface code using adaptive decoding algorithms
- Asymmetric quantum error correction via code conversion
- Error correction optimisation in the presence of X/Z asymmetry
- Clifford-deformed Surface Codes
- A high threshold code for modular hardware with asymmetric noise
- Quantifying the Performance of Quantum Codes
- Codeword Stabilized Quantum Codes for Asymmetric Channels
- Practical quantum error correction with the XZZX code and Kerr-cat qubits
- Efficient Decoding of Surface Code Syndromes for Error Correction in Quantum Computing
- Asymmetric Quantum Codes on Toric Surfaces