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Entanglement Theory and the Quantum Simulation of Many-Body Physics

Brandão, Fernando Guadalupe dos Santos Lins (2008) Entanglement Theory and the Quantum Simulation of Many-Body Physics. PhD thesis, University of London.

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In this thesis we present new results relevant to two important problems in quantum information science: the development of a theory of entanglement and the exploration of the use of controlled quantum systems to the simulation of quantum many-body phenomena. In the first part we introduce a new approach to the study of entanglement by considering its manipulation under operations not capable of generating entanglement and show there is a total order for multipartite quantum states in this framework. We also present new results on hypothesis testing of correlated sources and give further evidence on the existence of NPPT bound entanglement. In the second part, we study the potential as well as the limitations of a quantum computer for calculating properties of many-body systems. First we analyse the usefulness of quantum computation to calculate additive approximations to partition functions and spectral densities of local Hamiltonians. We then show that the determination of ground state energies of local Hamiltonians with an inverse polynomial spectral gap is QCMA-hard. In the third and last part, we approach the problem of quantum simulating many-body systems from a more pragmatic point of view. We analyze the realization of paradigmatic condensed matter Hamiltonians in arrays of coupled microcavities, such as the Bose-Hubbard and the anisotropic Heisenberg models, and discuss the feasibility of an experimental realization with state-of-the-art current technology.

Item Type:Thesis (PhD)
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Brandão, Fernando Guadalupe dos Santos Lins0000-0003-3866-9378
Additional Information:Thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy of the University of London and the Diploma of Membership of Imperial College. Imperial College of Science, Technology and Medicine, The Blackett Laboratory, Quantum Optics & Laser Science Group.
Record Number:CaltechAUTHORS:20160524-092724487
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67296
Deposited By: Tony Diaz
Deposited On:24 May 2016 16:42
Last Modified:02 Jun 2023 00:03

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