Determinate arbitrary quantum state engineering through one-dimensional quantum walks
Efficient generation of arbitrary superposed quantum states in high-dimensional systems is crucial for various quantum technologies but remains fundamentally challenging because of the intricate and extensive parameter control. In this work, we propose a generalized discrete one-dimensional quantum...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/2frm-2v6m |
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| _version_ | 1849337296179953664 |
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| author | Yu Wang Meng Li Yuan-Yuan Zhao |
| author_facet | Yu Wang Meng Li Yuan-Yuan Zhao |
| author_sort | Yu Wang |
| collection | DOAJ |
| description | Efficient generation of arbitrary superposed quantum states in high-dimensional systems is crucial for various quantum technologies but remains fundamentally challenging because of the intricate and extensive parameter control. In this work, we propose a generalized discrete one-dimensional quantum walk model with time- and position-dependent coin operations, and varied shift lengths. This approach enables deterministic and direct preparation of any qudit state |ϕ〉=∑_{k=0}^{d−1}a_{k}|k〉 using binary or ternary tree structures, without solving quadratic equations. Our method requires only O(logd) steps and O(d) coin operations, significantly reducing the resource requirements compared to the previous approach of O(d) steps and O(d^{2}) coin operations. Additionally, we propose an experimental scheme based on successive interferometers, demonstrating that our method is compatible with current state-of-the-art experimental technologies. This efficient method for preparing quantum superposition states lays a foundation for advancing quantum technologies, with broad applications in quantum information processing. |
| format | Article |
| id | doaj-art-ec3541ba3d79404997263f0ae39149b5 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-ec3541ba3d79404997263f0ae39149b52025-08-20T03:44:43ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202325210.1103/2frm-2v6mDeterminate arbitrary quantum state engineering through one-dimensional quantum walksYu WangMeng LiYuan-Yuan ZhaoEfficient generation of arbitrary superposed quantum states in high-dimensional systems is crucial for various quantum technologies but remains fundamentally challenging because of the intricate and extensive parameter control. In this work, we propose a generalized discrete one-dimensional quantum walk model with time- and position-dependent coin operations, and varied shift lengths. This approach enables deterministic and direct preparation of any qudit state |ϕ〉=∑_{k=0}^{d−1}a_{k}|k〉 using binary or ternary tree structures, without solving quadratic equations. Our method requires only O(logd) steps and O(d) coin operations, significantly reducing the resource requirements compared to the previous approach of O(d) steps and O(d^{2}) coin operations. Additionally, we propose an experimental scheme based on successive interferometers, demonstrating that our method is compatible with current state-of-the-art experimental technologies. This efficient method for preparing quantum superposition states lays a foundation for advancing quantum technologies, with broad applications in quantum information processing.http://doi.org/10.1103/2frm-2v6m |
| spellingShingle | Yu Wang Meng Li Yuan-Yuan Zhao Determinate arbitrary quantum state engineering through one-dimensional quantum walks Physical Review Research |
| title | Determinate arbitrary quantum state engineering through one-dimensional quantum walks |
| title_full | Determinate arbitrary quantum state engineering through one-dimensional quantum walks |
| title_fullStr | Determinate arbitrary quantum state engineering through one-dimensional quantum walks |
| title_full_unstemmed | Determinate arbitrary quantum state engineering through one-dimensional quantum walks |
| title_short | Determinate arbitrary quantum state engineering through one-dimensional quantum walks |
| title_sort | determinate arbitrary quantum state engineering through one dimensional quantum walks |
| url | http://doi.org/10.1103/2frm-2v6m |
| work_keys_str_mv | AT yuwang determinatearbitraryquantumstateengineeringthroughonedimensionalquantumwalks AT mengli determinatearbitraryquantumstateengineeringthroughonedimensionalquantumwalks AT yuanyuanzhao determinatearbitraryquantumstateengineeringthroughonedimensionalquantumwalks |