Quantum state preparation of normal distributions using matrix product states
Abstract State preparation is a necessary component of many quantum algorithms. In this work, we combine a method for efficiently representing smooth differentiable probability distributions using matrix product states with recently discovered techniques for initializing quantum states to approximat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-01-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-024-00805-0 |
| _version_ | 1797276400199139328 |
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| author | Jason Iaconis Sonika Johri Elton Yechao Zhu |
| author_facet | Jason Iaconis Sonika Johri Elton Yechao Zhu |
| author_sort | Jason Iaconis |
| collection | DOAJ |
| description | Abstract State preparation is a necessary component of many quantum algorithms. In this work, we combine a method for efficiently representing smooth differentiable probability distributions using matrix product states with recently discovered techniques for initializing quantum states to approximate matrix product states. Using this, we generate quantum states encoding a class of normal probability distributions in a trapped ion quantum computer for up to 20 qubits. We provide an in depth analysis of the different sources of error which contribute to the overall fidelity of this state preparation procedure. Our work provides a study in quantum hardware for scalable distribution loading, which is the basis of a wide range of algorithms that provide quantum advantage. |
| first_indexed | 2024-03-07T15:27:46Z |
| format | Article |
| id | doaj.art-69695bfa1e5740e59790034e0f5dec54 |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-03-07T15:27:46Z |
| publishDate | 2024-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-69695bfa1e5740e59790034e0f5dec542024-03-05T16:37:38ZengNature Portfolionpj Quantum Information2056-63872024-01-0110111110.1038/s41534-024-00805-0Quantum state preparation of normal distributions using matrix product statesJason Iaconis0Sonika Johri1Elton Yechao Zhu2IonQ IncIonQ IncFidelity Center for Applied Technology, FMR LLCAbstract State preparation is a necessary component of many quantum algorithms. In this work, we combine a method for efficiently representing smooth differentiable probability distributions using matrix product states with recently discovered techniques for initializing quantum states to approximate matrix product states. Using this, we generate quantum states encoding a class of normal probability distributions in a trapped ion quantum computer for up to 20 qubits. We provide an in depth analysis of the different sources of error which contribute to the overall fidelity of this state preparation procedure. Our work provides a study in quantum hardware for scalable distribution loading, which is the basis of a wide range of algorithms that provide quantum advantage.https://doi.org/10.1038/s41534-024-00805-0 |
| spellingShingle | Jason Iaconis Sonika Johri Elton Yechao Zhu Quantum state preparation of normal distributions using matrix product states npj Quantum Information |
| title | Quantum state preparation of normal distributions using matrix product states |
| title_full | Quantum state preparation of normal distributions using matrix product states |
| title_fullStr | Quantum state preparation of normal distributions using matrix product states |
| title_full_unstemmed | Quantum state preparation of normal distributions using matrix product states |
| title_short | Quantum state preparation of normal distributions using matrix product states |
| title_sort | quantum state preparation of normal distributions using matrix product states |
| url | https://doi.org/10.1038/s41534-024-00805-0 |
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