Variational quantum simulation of long-range interacting systems
Current quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms. Variational quantum algorithms are the most promising approach in near-term quantum simulation to achieve practical quantum...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acd571 |
| _version_ | 1797748615096041472 |
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| author | Chufan Lyu Xiaoyu Tang Junning Li Xusheng Xu Man-Hong Yung Abolfazl Bayat |
| author_facet | Chufan Lyu Xiaoyu Tang Junning Li Xusheng Xu Man-Hong Yung Abolfazl Bayat |
| author_sort | Chufan Lyu |
| collection | DOAJ |
| description | Current quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms. Variational quantum algorithms are the most promising approach in near-term quantum simulation to achieve practical quantum advantage over classical computers. Here, we explore variational quantum algorithms, with different levels of qubit connectivity, for digital simulation of the ground state of long-range interacting systems as well as generation of spin squeezed states. We find that as the interaction becomes more long-ranged, the variational algorithms become less efficient, achieving lower fidelity and demanding more optimization iterations. In particular, when the system is near its criticality the efficiency is even lower. Increasing the connectivity between distant qubits improves the results, even with less quantum and classical resources. Our results show that by mixing circuit layers with different levels of connectivity one can sensibly improve the performance. Interestingly, the order of layers becomes very important and grouping the layers with long-distance connectivity at the beginning of the circuit outperforms other permutations. The same design of circuits can also be used to variationally produce spin squeezed states, as a resource for quantum metrology. |
| first_indexed | 2024-03-12T16:07:20Z |
| format | Article |
| id | doaj.art-34bfff34c1e3454491760353d70fc9c5 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:07:20Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-34bfff34c1e3454491760353d70fc9c52023-08-09T14:15:56ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125505302210.1088/1367-2630/acd571Variational quantum simulation of long-range interacting systemsChufan Lyu0https://orcid.org/0000-0002-8708-9073Xiaoyu Tang1Junning Li2Xusheng Xu3https://orcid.org/0000-0002-5788-2951Man-Hong Yung4Abolfazl Bayat5https://orcid.org/0000-0003-3852-4558Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China , Chengdu 610051, People’s Republic of ChinaInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China , Chengdu 610051, People’s Republic of ChinaCentral Research Institute, Huawei Technologies , Shenzhen 518129, People’s Republic of ChinaCentral Research Institute, Huawei Technologies , Shenzhen 518129, People’s Republic of ChinaCentral Research Institute, Huawei Technologies , Shenzhen 518129, People’s Republic of China; Department of Physics, Southern University of Science and Technology , Shenzhen 518055, People’s Republic of China; Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology , Shenzhen 518055, People’s Republic of China; Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology , Shenzhen 518055, People’s Republic of China; Shenzhen Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology , Shenzhen 518055, People’s Republic of ChinaInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China , Chengdu 610051, People’s Republic of ChinaCurrent quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms. Variational quantum algorithms are the most promising approach in near-term quantum simulation to achieve practical quantum advantage over classical computers. Here, we explore variational quantum algorithms, with different levels of qubit connectivity, for digital simulation of the ground state of long-range interacting systems as well as generation of spin squeezed states. We find that as the interaction becomes more long-ranged, the variational algorithms become less efficient, achieving lower fidelity and demanding more optimization iterations. In particular, when the system is near its criticality the efficiency is even lower. Increasing the connectivity between distant qubits improves the results, even with less quantum and classical resources. Our results show that by mixing circuit layers with different levels of connectivity one can sensibly improve the performance. Interestingly, the order of layers becomes very important and grouping the layers with long-distance connectivity at the beginning of the circuit outperforms other permutations. The same design of circuits can also be used to variationally produce spin squeezed states, as a resource for quantum metrology.https://doi.org/10.1088/1367-2630/acd571quantum simulationvariational quantum eigensolverlong-range interactionspin squeezing |
| spellingShingle | Chufan Lyu Xiaoyu Tang Junning Li Xusheng Xu Man-Hong Yung Abolfazl Bayat Variational quantum simulation of long-range interacting systems New Journal of Physics quantum simulation variational quantum eigensolver long-range interaction spin squeezing |
| title | Variational quantum simulation of long-range interacting systems |
| title_full | Variational quantum simulation of long-range interacting systems |
| title_fullStr | Variational quantum simulation of long-range interacting systems |
| title_full_unstemmed | Variational quantum simulation of long-range interacting systems |
| title_short | Variational quantum simulation of long-range interacting systems |
| title_sort | variational quantum simulation of long range interacting systems |
| topic | quantum simulation variational quantum eigensolver long-range interaction spin squeezing |
| url | https://doi.org/10.1088/1367-2630/acd571 |
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