PIRSA:07110031

Quantum Phase Estimation

Boixo, S. (2007). Quantum Phase Estimation. Perimeter Institute. https://pirsa.org/07110031

Boixo, Sergio. Quantum Phase Estimation. Perimeter Institute, Nov. 14, 2007, https://pirsa.org/07110031 

          @misc{ pirsa_PIRSA:07110031,
            doi = {10.48660/07110031},
            url = {https://pirsa.org/07110031},
            author = {Boixo, Sergio},
            keywords = {Quantum Information},
            language = {en},
            title = {Quantum Phase Estimation},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {nov},
            note = {PIRSA:07110031 see, \url{https://pirsa.org}}
          }

Sergio Boixo Harvard University

Talk numberPIRSA:07110031
DOI10.48660/07110031
Collection
Talk Type Scientific Series
Subject

Abstract

We will compare quantum phase estimation from the point of view of quantum computation and quantum metrology. In the simplest cases, the former can be simplified to a sequential (unentangled) protocol, while the latter is parallel (entangled). We show that both protocols can be formally related with circuit identities and that they respond in exactly the same way to decoherence. We present sequential protocols for optimal estimation and frame synchronization in DQC1. Finally, we introduce new estimation protocols based on nonlinear Hamiltonians. We show that both optimal input states and product states with separable measurements improve the scaling of linear Hamiltonians. We will comment on the effect of decoherence in nonlinear protocols, and the role of entanglement in nonlinear protocols with product states.