Rescaling decoder for 2D topological quantum color codes on 4.8.8 lattices
arXiv:2112.09584 · doi:10.1103/PhysRevA.106.032431
Abstract
Fault-tolerant quantum computation relies on scaling up quantum error correcting codes in order to suppress the error rate on the encoded quantum states. Topological codes, such as the surface code or color codes are leading candidates for practical scalable quantum error correction and require efficient and scalable decoders. In this work, we propose and study the efficiency of a decoder for 2D topological color codes on the 4.8.8 lattice, by building on the work of [1] for color codes on hexagonal lattices. The decoder is based on a rescaling approach, in which syndrome information on a part of the qubit lattice is processed locally, and then the lattice is rescaled iteratively to smaller sizes. We find a threshold of 6.0% for code capacity noise.
15 pages, 13 figures
References in corpus (10)
- Fault-tolerant quantum computation with high threshold in two dimensions
- Topological Quantum Distillation
- Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
- Restrictions on Transversal Encoded Quantum Gate Sets
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Demonstration of fault-tolerant universal quantum gate operations
- Topological Computation without Braiding
- Logical-qubit operations in an error-detecting surface code
- Error Threshold for Color Codes and Random 3-Body Ising Models
- Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes