An alternative formulation of the quantum phase estimation using projection-based tensor decompositions

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 0 . With the help of a projection-bas...

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Bibliographic Details
Published inQuantum information processing Vol. 23; no. 4
Main Author Stengl, Marian
Format Journal Article
LanguageEnglish
Published New York Springer US 09.04.2024
Subjects
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Tensor decomposition
47A80
Projection operator
Quantum computing
68Q12
Quantum phase estimation
15A69
Circulant matrices
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Summary: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 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.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-024-04347-4