Minimizing readout-induced noise for early fault-tolerant quantum computers
arXiv:2304.11532 · doi:10.1103/PhysRevResearch.6.023129
Abstract
Quantum error correcting code can diagnose potential errors and correct them based on measured outcomes by leveraging syndrome measurement. However, mid-circuit measurement has been technically challenging for early fault-tolerant quantum computers and the readout-induced noise acts as a main contributor to the logical infidelity. We present a different method for syndrome extraction, namely Generalized Syndrome Measurement, that requires only a single-shot measurement on a single ancilla, while the canonical syndrome measurement requires multiple measurements to extract the eigenvalue for each stabilizer generator. As such, we can detect the error in the logical state with minimized readout-induced noise. By adopting our method as a pre-check routine for quantum error correcting cycles, we can significantly reduce the readout overhead, the idling time, and the logical error rate during syndrome measurement. We numerically analyze the performance of our protocol using Iceberg code and Steane code under realistic noise parameters based on superconducting hardware and demonstrate the advantage of our protocol in the near-term scenario. As mid-circuit measurements are still error-prone for near-term quantum hardware, our method may boost the applications of early fault-tolerant quantum computing.
References in corpus (31)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Multiple Particle Interference and Quantum Error Correction
- Suppressing quantum errors by scaling a surface code logical qubit
- Logical quantum processor based on reconfigurable atom arrays
- Reliable Quantum Computers
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
- Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
- High-fidelity parallel entangling gates on a neutral atom quantum computer
- Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor
- A universal qudit quantum processor with trapped ions
- Realization of an Error-Correcting Surface Code with Superconducting Qubits
- Logical-qubit operations in an error-detecting surface code
- Fast readout and reset of a superconducting qubit coupled to a resonator with an intrinsic Purcell filter
- Mid-circuit correction of correlated phase errors using an array of spectator qubits
- Efficient Computations of Encodings for Quantum Error Correction
- High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
- Realizing a dynamical topological phase in a trapped-ion quantum simulator
- Optimal control of entangling operations for trapped ion quantum computing
- Mid-circuit measurements on a single species neutral alkali atom quantum processor
- Towards near-term quantum simulation of materials
- 2-D color code quantum computation
- Improved error thresholds for measurement-free error correction
- Measurement-free fault-tolerant quantum error correction in near-term devices
- Demonstrating Bayesian Quantum Phase Estimation with Quantum Error Detection
- On fault-tolerance with noisy and slow measurements
- Error detection on quantum computers improves accuracy of chemical calculations
- Constructing quantum circuits with global gates
- Protecting Expressive Circuits with a Quantum Error Detection Code
- Adaptive syndrome measurements for Shor-style error correction
- Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction