Error-mitigated Geometric Quantum Control over an Oscillator

• URL: http://arxiv.org/abs/2501.14344v1
• Date: Fri, 24 Jan 2025 09:13:24 GMT
• Title: Error-mitigated Geometric Quantum Control over an Oscillator
• Authors: Ming-Jie Liang, Tao Chen, Zheng-Yuan Xue,
• Abstract summary: Quantum information is fragile to environmental- and operational-induced imperfections. We propose a robust scheme based on quantum optimal control via the functional theory. Our scheme provides a promising alternative for fault-tolerant quantum computation.
• Score: 2.7382619198694886
• License:
• Abstract: Quantum information is very fragile to environmental- and operational-induced imperfections. Therefore, the construction of practical quantum computers needs the quantum error correction technique to protect quantum information. Particularly, encode a logical qubit into the large Hilbert space of an oscillator is a hardware-efficient way of correcting quantum errors. In this strategy, selective number-dependent arbitrary phase (SNAP) gates are vital for universal quantum control. However, the quality of SNAP gates is considerably limited by the small coupling-induced non-linearity of the oscillator. Here, to resolve this limitation, we propose a robust scheme based on quantum optimal control via the functional theory, by designing an appropriate trajectory for a target operation. Besides, we combine the geometric phase approach with our trajectory design scheme to minimize the decoherence effect, by shortening the gate-time. Numerical simulation shows that both errors can be significantly mitigated and the robustness of the geometric gate against both $X$ and $Z$ errors can be maintained. Therefore, our scheme provides a promising alternative for fault-tolerant quantum computation.

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