Implementation of single-qubit gates with two rotations around axes in a plane
Typical experimental implementations of single-qubit gates involve two or three fixed rotation axes and up to three rotation steps. In this work, we prove that if the rotation axes can be tuned arbitrarily in a fixed plane, then two rotation steps are sufficient for implementing a single-qubit gate,...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-06-01
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| Series: | APL Quantum |
| Online Access: | http://dx.doi.org/10.1063/5.0267247 |
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| _version_ | 1849710253628719104 |
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| author | Yun-Pil Shim Edward Takyi Jianjia Fei Sangchul Oh Xuedong Hu Mark Friesen |
| author_facet | Yun-Pil Shim Edward Takyi Jianjia Fei Sangchul Oh Xuedong Hu Mark Friesen |
| author_sort | Yun-Pil Shim |
| collection | DOAJ |
| description | Typical experimental implementations of single-qubit gates involve two or three fixed rotation axes and up to three rotation steps. In this work, we prove that if the rotation axes can be tuned arbitrarily in a fixed plane, then two rotation steps are sufficient for implementing a single-qubit gate, and one rotation step is sufficient for implementing a state transformation. As concrete examples, we demonstrate two-step single-qubit gate implementations in two different physical qubit systems: (i) a transmon superconducting qubit coupled to an external microwave drive, such as a transmission line; and (ii) a quantum-dot based exchange-only qubit encoded in a three-spin block. These results provide a significant speedup for many common gate implementations, such as Rabi oscillations with phase control. |
| format | Article |
| id | doaj-art-ec83657d90a34d45b3f0946e3fcec4db |
| institution | DOAJ |
| issn | 2835-0103 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Quantum |
| spelling | doaj-art-ec83657d90a34d45b3f0946e3fcec4db2025-08-20T03:14:58ZengAIP Publishing LLCAPL Quantum2835-01032025-06-0122026122026122-810.1063/5.0267247Implementation of single-qubit gates with two rotations around axes in a planeYun-Pil Shim0Edward Takyi1Jianjia Fei2Sangchul Oh3Xuedong Hu4Mark Friesen5Department of Physics, University of Texas at El Paso, El Paso, Texas 79968, USADepartment of Physics, University of Texas at El Paso, El Paso, Texas 79968, USADepartment of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USADepartment of Physics, Southern Illinois University, Carbondale, Illinois 62901, USADepartment of Physics, University at Buffalo, State University of New York, Buffalo, New York 14260, USADepartment of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USATypical experimental implementations of single-qubit gates involve two or three fixed rotation axes and up to three rotation steps. In this work, we prove that if the rotation axes can be tuned arbitrarily in a fixed plane, then two rotation steps are sufficient for implementing a single-qubit gate, and one rotation step is sufficient for implementing a state transformation. As concrete examples, we demonstrate two-step single-qubit gate implementations in two different physical qubit systems: (i) a transmon superconducting qubit coupled to an external microwave drive, such as a transmission line; and (ii) a quantum-dot based exchange-only qubit encoded in a three-spin block. These results provide a significant speedup for many common gate implementations, such as Rabi oscillations with phase control.http://dx.doi.org/10.1063/5.0267247 |
| spellingShingle | Yun-Pil Shim Edward Takyi Jianjia Fei Sangchul Oh Xuedong Hu Mark Friesen Implementation of single-qubit gates with two rotations around axes in a plane APL Quantum |
| title | Implementation of single-qubit gates with two rotations around axes in a plane |
| title_full | Implementation of single-qubit gates with two rotations around axes in a plane |
| title_fullStr | Implementation of single-qubit gates with two rotations around axes in a plane |
| title_full_unstemmed | Implementation of single-qubit gates with two rotations around axes in a plane |
| title_short | Implementation of single-qubit gates with two rotations around axes in a plane |
| title_sort | implementation of single qubit gates with two rotations around axes in a plane |
| url | http://dx.doi.org/10.1063/5.0267247 |
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