Quasi-Probabilistic Readout Correction of Mid-Circuit Measurements for Adaptive Feedback via Measurement Randomized Compiling

• URL: http://arxiv.org/abs/2312.14139v4
• Date: Thu, 2 May 2024 16:41:59 GMT
• Title: Quasi-Probabilistic Readout Correction of Mid-Circuit Measurements for Adaptive Feedback via Measurement Randomized Compiling
• Authors: Akel Hashim, Arnaud Carignan-Dugas, Larry Chen, Christian Juenger, Neelay Fruitwala, Yilun Xu, Gang Huang, Joel J. Wallman, Irfan Siddiqi,
• Abstract summary: Quantum measurements are a fundamental component of quantum computing. On modern-day quantum computers, measurements can be more error prone than quantum gates. We show that measurement errors can be tailored into a simple error model using randomized compiling.
• Score: 7.804530685405802
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum measurements are a fundamental component of quantum computing. However, on modern-day quantum computers, measurements can be more error prone than quantum gates, and are susceptible to non-unital errors as well as non-local correlations due to measurement crosstalk. While readout errors can be mitigated in post-processing, it is inefficient in the number of qubits due to a combinatorially-large number of possible states that need to be characterized. In this work, we show that measurement errors can be tailored into a simple stochastic error model using randomized compiling, enabling the efficient mitigation of readout errors via quasi-probability distributions reconstructed from the measurement of a single preparation state in an exponentially large confusion matrix. We demonstrate the scalability and power of this approach by correcting readout errors without matrix inversion on a large number of different preparation states applied to a register of eight superconducting transmon qubits. Moreover, we show that this method can be extended to mid-circuit measurements used for active feedback via quasi-probabilistic error cancellation, and demonstrate the correction of measurement errors on an ancilla qubit used to detect and actively correct bit-flip errors on an entangled memory qubit. Our approach enables the correction of readout errors on large numbers of qubits, and offers a strategy for correcting readout errors in adaptive circuits in which the results of mid-circuit measurements are used to perform conditional operations on non-local qubits in real time.

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