Hidden Inverses: Coherent Error Cancellation at the Circuit Level

Abstract

Coherent gate errors are a concern in many proposed quantum computing architectures. These errors can be effectively handled through composite pulse sequences for single-qubit gates, however, such techniques are less feasible for entangling operations. In this work, we benchmark our coherent errors by comparing the actual performance of composite single-qubit gates to the predicted performance based on characterization of individual single-qubit rotations. We then propose a compilation technique, which we refer to as hidden inverses, that creates circuits robust to these coherent errors. We present experimental data showing that these circuits suppress both overrotation and phase misalignment errors in our trapped ion system.

13 pages, 8 figures

References in corpus (10)

• Optimized Dynamical Decoupling in a Model Quantum Memory
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• The effects of mixedness and entanglement on the properties of the entropic uncertainty in Heisenberg model with Dzyaloshinski-Moriya interaction
• Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
• Experimental Deep Reinforcement Learning for Error-Robust Gateset Design on a Superconducting Quantum Computer
• Robust Ising Gates for Practical Quantum Computation
• Engineering the Quantum Scientific Computing Open User Testbed (QSCOUT): Design details and user guide
• Batch Optimization of Frequency-Modulated Pulses for Robust Two-qubit Gates in Ion Chains
• Quantum Gates with Phase Stability over Space and Time
• Optimizing Stabilizer Parities for Improved Logical Qubit Memories

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