Measurement-based long-range entangling gates in constant depth
The depth of quantum circuits is a critical factor when running them on state-of-the-art quantum devices owing to their limited coherence times. Reducing circuit depth decreases noise in near-term quantum computations and reduces overall computation time. This also benefits fault-tolerant quantum co...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023120 |
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| _version_ | 1850192453786664960 |
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| author | Elisa Bäumer Stefan Woerner |
| author_facet | Elisa Bäumer Stefan Woerner |
| author_sort | Elisa Bäumer |
| collection | DOAJ |
| description | The depth of quantum circuits is a critical factor when running them on state-of-the-art quantum devices owing to their limited coherence times. Reducing circuit depth decreases noise in near-term quantum computations and reduces overall computation time. This also benefits fault-tolerant quantum computations. Here, we show how to reduce the depth of quantum subroutines 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 feedforward 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 | Article |
| id | doaj-art-c4c30ab79f724472a8e45f5ea4b4b8ed |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-c4c30ab79f724472a8e45f5ea4b4b8ed2025-08-20T02:14:34ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202312010.1103/PhysRevResearch.7.023120Measurement-based long-range entangling gates in constant depthElisa BäumerStefan WoernerThe depth of quantum circuits is a critical factor when running them on state-of-the-art quantum devices owing to their limited coherence times. Reducing circuit depth decreases noise in near-term quantum computations and reduces overall computation time. This also benefits fault-tolerant quantum computations. Here, we show how to reduce the depth of quantum subroutines 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 feedforward 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.http://doi.org/10.1103/PhysRevResearch.7.023120 |
| spellingShingle | Elisa Bäumer Stefan Woerner Measurement-based long-range entangling gates in constant depth Physical Review Research |
| title | Measurement-based long-range entangling gates in constant depth |
| title_full | Measurement-based long-range entangling gates in constant depth |
| title_fullStr | Measurement-based long-range entangling gates in constant depth |
| title_full_unstemmed | Measurement-based long-range entangling gates in constant depth |
| title_short | Measurement-based long-range entangling gates in constant depth |
| title_sort | measurement based long range entangling gates in constant depth |
| url | http://doi.org/10.1103/PhysRevResearch.7.023120 |
| work_keys_str_mv | AT elisabaumer measurementbasedlongrangeentanglinggatesinconstantdepth AT stefanwoerner measurementbasedlongrangeentanglinggatesinconstantdepth |