Variational Phase Estimation with Variational Fast Forwarding

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• Maria-Andreea Filip ( University of Cambridge)
• Thursday 06 June 2024, 12:00-14:00
• U203 Meeting room, Department of Chemistry, Cambridge.

If you have a question about this talk, please contact Lila Cadi Tazi.

We present here a quantum circuit implementation of the variational quantum phase estimation (VQPE) algorithm, which uses a series of time-evolved states as a basis for non-orthogonal configuration interaction. On an equally spaced time grid, the diagonalisation of the Hamiltonian can be replaced with a diagonalisation of a time-evolution matrix, the computation of which scales linearly with the number of basis states. We combine the VQPE approach with variational fast-forwarding (VFF), which provides a constant-depth approximation to time-evolution. This approximation provides a good basis for Hamiltonian diagonalisation even when fidelity is low and, in the case of high-fidelity, allows us to preserve the linear scaling of the VQPE algorithm. This is based on this paper : https://quantum-journal.org/papers/q-2024-03-13-1278/

This talk is part of the Quantum Computing for Quantum Chemistry series.

This talk is included in these lists:

• Quantum Computing for Quantum Chemistry
• U203 Meeting room, Department of Chemistry, Cambridge

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