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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2835-0103 |