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• W2775563604 abstract "We present two techniques that can greatly reduce the number of gates required to realize an energy measurement, with application to ground state preparation in quantum simulations. The first technique realizes that to prepare the ground state of some Hamiltonian, it is not necessary to implement the time-evolution operator: any unitary operator which is a function of the Hamiltonian will do. We propose one such unitary operator which can be implemented exactly, circumventing any Taylor or Trotter approximation errors. The second technique is tailored to lattice models, and is targeted at reducing the use of generic single-qubit rotations, which are very expensive to produce by standard fault tolerant techniques. In particular, the number of generic single-qubit rotations used by our method scales with the number of parameters in the Hamiltonian, which contrasts with a growth proportional to the lattice size required by other techniques." @default.
• W2775563604 created "2017-12-22" @default.
• W2775563604 creator A5002340446 @default.
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• W2775563604 date "2018-07-05" @default.
• W2775563604 modified "2023-10-14" @default.
• W2775563604 title "Quantum Algorithm for Spectral Measurement with a Lower Gate Count" @default.
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• W2775563604 doi "https://doi.org/10.1103/physrevlett.121.010501" @default.
• W2775563604 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30028152" @default.
• W2775563604 hasPublicationYear "2018" @default.
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