Measurement-Based Long-Range Entangling Gates in Constant Depth
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913823389122560 |
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| author | Bäumer, Elisa Woerner, Stefan |
| author_facet | Bäumer, Elisa Woerner, Stefan |
| contents | The depth of quantum circuits is a critical factor when running them on state-of-the-art quantum devices due to their limited coherence times. Reducing circuit depth decreases noise in near-term quantum computations and reduces overall computation time, thus, also benefiting fault-tolerant quantum computations. Here, we show how to reduce the depth of quantum sub-routines that typically scale linearly with the number of qubits, such as quantum fan-out and long-range CNOT gates, to a constant depth using mid-circuit measurements and feed-forward operations, while only requiring a 1D line topology. We compare our protocols with existing ones to highlight their advantages. Additionally, we verify the feasibility by implementing the measurement-based quantum fan-out gate and long-range CNOT gate on real quantum hardware, demonstrating significant improvements over their unitary implementations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measurement-Based Long-Range Entangling Gates in Constant Depth Bäumer, Elisa Woerner, Stefan Quantum Physics The depth of quantum circuits is a critical factor when running them on state-of-the-art quantum devices due to their limited coherence times. Reducing circuit depth decreases noise in near-term quantum computations and reduces overall computation time, thus, also benefiting fault-tolerant quantum computations. Here, we show how to reduce the depth of quantum sub-routines that typically scale linearly with the number of qubits, such as quantum fan-out and long-range CNOT gates, to a constant depth using mid-circuit measurements and feed-forward operations, while only requiring a 1D line topology. We compare our protocols with existing ones to highlight their advantages. Additionally, we verify the feasibility by implementing the measurement-based quantum fan-out gate and long-range CNOT gate on real quantum hardware, demonstrating significant improvements over their unitary implementations. |
| title | Measurement-Based Long-Range Entangling Gates in Constant Depth |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.03064 |