The paper constructs a quantum circuit for non-unitary basis-set transformations via singular value decomposition and block encoding, enabling overlap computations between states in different bases.
Let the number of ˜σi = 1 be s and the rank after truncation be r
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Quantum Circuit for Non-Unitary Linear Transformation of Basis Sets
The paper constructs a quantum circuit for non-unitary basis-set transformations via singular value decomposition and block encoding, enabling overlap computations between states in different bases.