Geometrical Approach to Logical Qubit Fidelities of Neutral Atom CSS Codes
arXiv:2409.04324 · doi:10.20935/AcadQuant7467
Abstract
Encoding quantum information in a quantum error correction (QEC) code enhances protection against errors. Imperfection of quantum devices due to decoherence effects will limit the fidelity of quantum gate operations. In particular, neutral atom quantum computers will suffer from correlated errors because of the finite lifetime of the Rydberg states that facilitate entanglement. Predicting the impact of such errors on the performance of topological QEC codes is important in understanding and characterising the fidelity limitations of a real quantum device. Mapping a QEC code to a lattice gauge theory with disorder allows us to use Monte Carlo techniques to calculate upper bounds on error rates without resorting to an optimal decoder. In this Article, we adopt this statistical mapping to predict error rate thresholds for neutral atom architecture, assuming radiative decay to the computational basis, leakage and atom loss as the sole error sources. We quantify this error rate threshold and bounds on experimental constraints, given any set of experimental parameters.
9 figures, 16 pages
References in corpus (19)
- Surface codes: Towards practical large-scale quantum computation
- Suppressing quantum errors by scaling a surface code logical qubit
- Logical quantum processor based on reconfigurable atom arrays
- High-fidelity parallel entangling gates on a neutral atom quantum computer
- High-threshold and low-overhead fault-tolerant quantum memory
- Stim: a fast stabilizer circuit simulator
- Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
- Ytterbium nuclear-spin qubits in an optical tweezer array
- 2000-times repeated imaging of strontium atoms in clock-magic tweezer arrays
- Erasure conversion in a high-fidelity Rydberg quantum simulator
- Universal gate operations on nuclear spin qubits in an optical tweezer array of Yb atoms
- High threshold codes for neutral atom qubits with biased erasure errors
- Parallel assembly of arbitrary defect-free atom arrays with a multi-tweezer algorithm
- Robust control and optimal Rydberg states for neutral atom two-qubit gates
- Compiling Quantum Circuits for Dynamically Field-Programmable Neutral Atoms Array Processors
- Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
- Fundamental thresholds of realistic quantum error correction circuits from classical spin models
- PyMatching: A Python package for decoding quantum codes with minimum-weight perfect matching
- Surface Code Stabilizer Measurements for Rydberg Atoms