Papers › Automatic Post-selection by Ancillae Thermalisation

Automatic Post-selection by Ancillae Thermalisation

8 Oct 2020arXiv:2010.04173links table onlyarchive 2025-07-28

Lewis Wright, Fergus Barratt, James Dborin, George H. Booth, Andrew G. Green

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Tasks such as classification of data and determining the groundstate of a Hamiltonian cannot be carried out through purely unitary quantum evolution. Instead, the inherent non-unitarity of the measurement process must be harnessed. Post-selection and its extensions provide a way to do this. However they make inefficient use of time resources -- a typical computation might require O(2ᵐ) measurements over m qubits to reach a desired accuracy. We propose a method inspired by the eigenstate thermalisation hypothesis, that harnesses the induced non-linearity of measurement on a subsystem. Post-selection on m ancillae qubits is replaced with tracing out O(logϵ/ log(1-p)) (where p is the probability of a successful measurement) to attain the same accuracy as the post-selection circuit. We demonstrate this scheme on the quantum perceptron and phase estimation algorithm. This method is particularly advantageous on current quantum computers involving superconducting circuits.

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