Optimal number of stabilizer measurement rounds in an idling surface code patch
arXiv:2408.07529 · doi:10.22331/q-2025-06-12-1767
Abstract
Logical qubits can be protected against environmental noise by encoding them into a highly entangled state of many physical qubits and actively intervening in the dynamics with stabilizer measurements. In this work, we numerically optimize the rate of these interventions: the number of stabilizer measurement rounds for a logical qubit encoded in a surface code patch and idling for a given time. We model the environmental noise on the circuit level, including gate errors, readout errors, amplitude and phase damping. We find, qualitatively, that the optimal number of stabilizer measurement rounds is getting smaller for better qubits and getting larger for better gates or larger code sizes. We discuss the implications of our results to some of the leading architectures, superconducting qubits, and neutral atoms.
References in corpus (36)
- Surface codes: Towards practical large-scale quantum computation
- Topological quantum memory
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Improved Simulation of Stabilizer Circuits
- Suppressing quantum errors by scaling a surface code logical qubit
- Logical quantum processor based on reconfigurable atom arrays
- Quantum error correction below the surface code threshold
- Surface code quantum computing by lattice surgery
- A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
- Stim: a fast stabilizer circuit simulator
- Realization of an Error-Correcting Surface Code with Superconducting Qubits
- Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
- Low-distance Surface Codes under Realistic Quantum Noise
- Fault-tolerant operation of a logical qubit in a diamond quantum processor
- Detecting crosstalk errors in quantum information processors
- Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
- Logical-qubit operations in an error-detecting surface code
- Correcting coherent errors with surface codes
- Poking holes and cutting corners to achieve Clifford gates with the surface code
- Sparse Blossom: correcting a million errors per core second with minimum-weight matching
- Overcoming leakage in scalable quantum error correction
- Learning to Decode the Surface Code with a Recurrent, Transformer-Based Neural Network
- Improved decoding of circuit noise and fragile boundaries of tailored surface codes
- Coherence in quantum error-correcting codes
- A fault-tolerant non-Clifford gate for the surface code in two dimensions
- Coherence in logical quantum channels
- Logical blocks for fault-tolerant topological quantum computation
- Resisting high-energy impact events through gap engineering in superconducting qubit arrays
- All-microwave leakage reduction units for quantum error correction with superconducting transmon qubits
- A real-time, scalable, fast and highly resource efficient decoder for a quantum computer
- Characterizing crosstalk of superconducting transmon processors
- Creating entangled logical qubits in the heavy-hex lattice with topological codes
- Inplace Access to the Surface Code Y Basis
- Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits
- Coherent errors and readout errors in the surface code
- Coherent errors in stabilizer codes caused by quasistatic phase damping