Efficient quantum state preparation of multivariate functions using tensor networks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911276664356864 |
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| author | Ballarin, Marco García-Ripoll, Juan José Hayes, David Lubasch, Michael |
| author_facet | Ballarin, Marco García-Ripoll, Juan José Hayes, David Lubasch, Michael |
| contents | For the preparation of high-dimensional functions on quantum computers, we introduce tensor network algorithms that are efficient with regard to dimensionality, optimize circuits composed of hardware-native gates and take gate errors into account during the optimization. To avoid the notorious barren plateau problem of vanishing gradients in the circuit optimization, we smoothly transform the circuit from an easy-to-prepare initial function into the desired target function. We show that paradigmatic multivariate functions can be accurately prepared such as, by numerical simulations, a 17-dimensional Gaussian encoded in the state of 102 qubits and, through experiments, a 9-dimensional Gaussian realized using 54 qubits on Quantinuum's H2 quantum processor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15674 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient quantum state preparation of multivariate functions using tensor networks Ballarin, Marco García-Ripoll, Juan José Hayes, David Lubasch, Michael Quantum Physics For the preparation of high-dimensional functions on quantum computers, we introduce tensor network algorithms that are efficient with regard to dimensionality, optimize circuits composed of hardware-native gates and take gate errors into account during the optimization. To avoid the notorious barren plateau problem of vanishing gradients in the circuit optimization, we smoothly transform the circuit from an easy-to-prepare initial function into the desired target function. We show that paradigmatic multivariate functions can be accurately prepared such as, by numerical simulations, a 17-dimensional Gaussian encoded in the state of 102 qubits and, through experiments, a 9-dimensional Gaussian realized using 54 qubits on Quantinuum's H2 quantum processor. |
| title | Efficient quantum state preparation of multivariate functions using tensor networks |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.15674 |