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- W1657809206 abstract "It has been shown that, starting from the state |0>, in the general case, an arbitrary quantum state |psi> cannot be prepared with exponential precision in polynomial time. However, we show that for the important special case when |psi> represents discrete values of some real, continuous function psi(x), efficient preparation is possible by applying the eigenvalue estimation algorithm to a Hamiltonian which has psi(x) as an eigenstate. We construct the required Hamiltonian explicitly and present an iterative algorithm for removing unwanted superpositions from the output state in order to reach |psi> within exponential accuracy. The method works under very general conditions and can be used to provide the quantum simulation algorithm with very accurate and general starting states." @default.
- W1657809206 created "2016-06-24" @default.
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- W1657809206 date "2005-12-27" @default.
- W1657809206 modified "2023-09-27" @default.
- W1657809206 title "Efficient Preparation of Quantum States With Exponential Precision" @default.
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- W1657809206 hasPublicationYear "2005" @default.
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