Gavin Brennen
Department of Physics and Astronomy
Macquarie University
Australia
Biography
Professor in Department of Physics and Astronomy at Macquarie University.
Research Interest
There are several models for quantum computation which are equivalent in ability to simulate each other but which differ in how they operate. For example, in the measurement based model one begins with a special resource state (a 2D lattice of entangled spins with one spatial axis representing position on the computational register, the other time) and then performs adaptive single spin measurements on the remaining correlated spins to process a quantum computation. This project will investigating how to prepare and process good resource states which are stable ground states of naturally occuring systems--i.e. computational phases of matter [1,2]. The scope of the research covers: encoding information in edge degrees of freedom [3] of two dimensional symmetry protected topological order, applying renormalization techniques to identify stable computational phases of matter [4], and analysis of how to use many body states are resources for precision measurement [5].
Publications
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Brennen GK, Miyake A. Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian. Physical review letters. 2008 Jul 2;101(1):010502.
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Brennen GK. An observable measure of entanglement for pure states of multi-qubit systems. arXiv preprint quant-ph/0305094. 2003 May 17.
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Brennen GK, Caves CM, Jessen PS, Deutsch IH. Quantum logic gates in optical lattices. Physical Review Letters. 1999 Feb 1;82(5):1060.
