PIRSA:06040019

Hamiltonian Oracles

APA

Mochon, C. (2006). Hamiltonian Oracles. Perimeter Institute. https://pirsa.org/06040019

MLA

Mochon, Carlos. Hamiltonian Oracles. Perimeter Institute, Apr. 19, 2006, https://pirsa.org/06040019

BibTex

          @misc{ pirsa_PIRSA:06040019,
            doi = {10.48660/06040019},
            url = {https://pirsa.org/06040019},
            author = {Mochon, Carlos},
            keywords = {Quantum Information},
            language = {en},
            title = {Hamiltonian Oracles},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {apr},
            note = {PIRSA:06040019 see, \url{https://pirsa.org}}
          }
          

Carlos Mochon D. E. Shaw Group

Abstract

Hamiltonian oracles are the continuum limit of the standard unitary quantum oracles. In addition to being a potentially useful tool in the study of standard oracles, Hamiltonian oracles naturally introduce the concept of fractional queries and are amenable to study using techniques of differential equations and geometry. As an example of these ideas we shall examine the Hamiltonian oracle corresponding to the problem of oracle interrogation. This talk is intended for all those who wish to apply their knowledge of differential geometry without the risk of creating an event horizon.