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q-2021-01-12-380.pdf

…2 2 1 https://quantum-journal.org/?s=Exponentially%20faster%20implementations%20of%20Select($H$)%20for%20fermionic%20Hamiltonians&reason=title-click https://quantum-journal.org/?s=Exponentially%20faster%20implementations%20of%20Select($H$)%20for%20fermionic%20Hamiltonians&reason=title-click https://orcid.org/0000-0002-1147-6528 mailto:kianna@stanford.edu methods of Ref. [19, 20]. All of these techniques are formulated in terms of queries to unitary oracles that encode the relevant Hamiltonian(s)…

q-2022-07-20-768.pdf

…is similar to the Pre- pare Select Prepare† scheme. For the Select operator we first construct a sequence of K unitaries U1…UK block-encoding matrices H1…HK : (〈0|a ⊗ 1s)Uk(|0〉a ⊗…