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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.05894 |
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| _version_ | 1866910627711156224 |
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| author | Stengl, Marian |
| author_facet | Stengl, Marian |
| contents | In this paper an alternative version of the quantum phase estimation is proposed, in which the Hadamard gates at the beginning are substituted by a quantum Fourier transform. This new circuit coincides with the original one, when the ancilla is initialized with $\ket{0}$. With the help of a projection-based tensor decomposition and closed-form expressions of its exponential, this new method can be interpreted as a multiplier coupled to the Hamiltonian of the corresponding target unitary operator. Based on this observation a recursive decomposition is derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05894 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Alternative Formulation of the Quantum Phase Estimation Using Projection-Based Tensor Decompositions Stengl, Marian Quantum Physics 68Q12, 15A69, 47A80 In this paper an alternative version of the quantum phase estimation is proposed, in which the Hadamard gates at the beginning are substituted by a quantum Fourier transform. This new circuit coincides with the original one, when the ancilla is initialized with $\ket{0}$. With the help of a projection-based tensor decomposition and closed-form expressions of its exponential, this new method can be interpreted as a multiplier coupled to the Hamiltonian of the corresponding target unitary operator. Based on this observation a recursive decomposition is derived. |
| title | An Alternative Formulation of the Quantum Phase Estimation Using Projection-Based Tensor Decompositions |
| topic | Quantum Physics 68Q12, 15A69, 47A80 |
| url | https://arxiv.org/abs/2303.05894 |