PIRSA:07060018

Classical Post-processing for Low-Depth Phase Estimation Circuits

Cheung, D. (2007). Classical Post-processing for Low-Depth Phase Estimation Circuits. Perimeter Institute. https://pirsa.org/07060018

Cheung, Donny. Classical Post-processing for Low-Depth Phase Estimation Circuits. Perimeter Institute, Jun. 03, 2007, https://pirsa.org/07060018 

          @misc{ pirsa_PIRSA:07060018,
            doi = {10.48660/07060018},
            url = {https://pirsa.org/07060018},
            author = {Cheung, Donny},
            keywords = {Quantum Information},
            language = {en},
            title = {Classical Post-processing for Low-Depth Phase Estimation Circuits},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {jun},
            note = {PIRSA:07060018 see, \url{https://pirsa.org}}
          }

Donny Cheung Institute for Quantum Computing (IQC)

DOI 10.48660/07060018
Collection
Talk Type Conference
Subject

Abstract

Traditionally, we use the quantum Fourier transform circuit (QFT) in order to perform quantum phase estimation, which has a number of useful applications.  The QFT circuit for a binary field generally consists controlled-rotation gates which, when removed, yields the lower-depth approximate QFT circuit.  It is known that a logarithmic-depth approximate QFT circuit is sufficient to perform phase estimation with a degree of accuracy negligibly lower than that of the full QFT.  However, when the depth of the AQFT circuit becomes even lower, the phase estimation procedure no longer produces results that are immediately correlated to the desired phase.  In this talk, I will explore the possibility of retrieving this information with classical analysis and with computer post-processing of the measured results of a low-depth AQFT circuit in a phase estimation algorithm.