Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension
In recent years, quantum computing has evolved as an exciting frontier, with the development of numerous algorithms dedicated to constructing quantum circuits that adeptly represent quantum many-body states. However, this domain remains in its early stages and requires further refinement to better u...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043318 |
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| _version_ | 1846107384203706368 |
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| author | Shohei Miyakoshi Takanori Sugimoto Tomonori Shirakawa Seiji Yunoki Hiroshi Ueda |
| author_facet | Shohei Miyakoshi Takanori Sugimoto Tomonori Shirakawa Seiji Yunoki Hiroshi Ueda |
| author_sort | Shohei Miyakoshi |
| collection | DOAJ |
| description | In recent years, quantum computing has evolved as an exciting frontier, with the development of numerous algorithms dedicated to constructing quantum circuits that adeptly represent quantum many-body states. However, this domain remains in its early stages and requires further refinement to better understand the effective construction of highly entangled quantum states within quantum circuits. Here, we demonstrate that quantum many-body states can be universally represented using a quantum circuit comprising multiqubit gates. Furthermore, we evaluate the efficiency of a quantum circuit constructed with two-qubit gates in quench dynamics for the transverse-field Ising model. In this specific model, despite the initial state being classical without entanglement, it undergoes long-time evolution, eventually leading to a highly entangled quantum state. Our results reveal that a diamond-shaped quantum circuit, designed to approximate the multiqubit gate-based quantum circuit, remarkably excels in accurately representing the long-time dynamics of the system. Moreover, the diamond-shaped circuit follows the volume law behavior in entanglement entropy, offering a significant advantage over alternative quantum circuit constructions employing two-qubit gates. |
| format | Article |
| id | doaj-art-d70a774281e145c28acf3d89cf033d3e |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d70a774281e145c28acf3d89cf033d3e2024-12-26T15:03:14ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404331810.1103/PhysRevResearch.6.043318Diamond-shaped quantum circuit for real-time quantum dynamics in one dimensionShohei MiyakoshiTakanori SugimotoTomonori ShirakawaSeiji YunokiHiroshi UedaIn recent years, quantum computing has evolved as an exciting frontier, with the development of numerous algorithms dedicated to constructing quantum circuits that adeptly represent quantum many-body states. However, this domain remains in its early stages and requires further refinement to better understand the effective construction of highly entangled quantum states within quantum circuits. Here, we demonstrate that quantum many-body states can be universally represented using a quantum circuit comprising multiqubit gates. Furthermore, we evaluate the efficiency of a quantum circuit constructed with two-qubit gates in quench dynamics for the transverse-field Ising model. In this specific model, despite the initial state being classical without entanglement, it undergoes long-time evolution, eventually leading to a highly entangled quantum state. Our results reveal that a diamond-shaped quantum circuit, designed to approximate the multiqubit gate-based quantum circuit, remarkably excels in accurately representing the long-time dynamics of the system. Moreover, the diamond-shaped circuit follows the volume law behavior in entanglement entropy, offering a significant advantage over alternative quantum circuit constructions employing two-qubit gates.http://doi.org/10.1103/PhysRevResearch.6.043318 |
| spellingShingle | Shohei Miyakoshi Takanori Sugimoto Tomonori Shirakawa Seiji Yunoki Hiroshi Ueda Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension Physical Review Research |
| title | Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension |
| title_full | Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension |
| title_fullStr | Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension |
| title_full_unstemmed | Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension |
| title_short | Diamond-shaped quantum circuit for real-time quantum dynamics in one dimension |
| title_sort | diamond shaped quantum circuit for real time quantum dynamics in one dimension |
| url | http://doi.org/10.1103/PhysRevResearch.6.043318 |
| work_keys_str_mv | AT shoheimiyakoshi diamondshapedquantumcircuitforrealtimequantumdynamicsinonedimension AT takanorisugimoto diamondshapedquantumcircuitforrealtimequantumdynamicsinonedimension AT tomonorishirakawa diamondshapedquantumcircuitforrealtimequantumdynamicsinonedimension AT seijiyunoki diamondshapedquantumcircuitforrealtimequantumdynamicsinonedimension AT hiroshiueda diamondshapedquantumcircuitforrealtimequantumdynamicsinonedimension |