Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer

• URL: http://arxiv.org/abs/2107.06368v1
• Date: Tue, 13 Jul 2021 20:08:04 GMT
• Title: Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer
• Authors: Janine Hilder and Daniel Pijn and Oleksiy Onishchenko and Alexander Stahl and Maximilian Orth and Bj\"orn Lekitsch and Andrea Rodriguez-Blanco and Markus M\"uller and Ferdinand Schmidt-Kaler and Ulrich Poschinger
• Abstract summary: We experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)%. The scheme is an essential building block in a broad class of stabilizer quantum error correction protocols.
• Score: 64.47265213752996
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum error correction requires the detection of errors by reliable measurements of suitable multi-qubit correlation operators. Here, we experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. An additional 'flag' qubit serves to detect errors occurring throughout the parity measurement, which would otherwise proliferate into uncorrectable weight-2 errors on the qubit register. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)\%. Deliberately injecting bit and phase-flip errors, we show that the fault-tolerant protocol is capable of reliably intercepting such faults. For holistic benchmarking of the parity measurement scheme, we use entanglement witnessing to show that the implemented circuit generates genuine six-qubit multi-partite entanglement. The fault-tolerant parity measurement scheme is an essential building block in a broad class of stabilizer quantum error correction protocols, including topological color codes. Our hardware platform is based on atomic ions stored in a segmented microchip ion trap. The qubit register is dynamically reconfigured via shuttling operations, enabling effective full connectivity without operational cross-talk, which provides key capabilities for scalable fault-tolerant quantum computing.

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