In this thesis, we will focus on a very general family of variational wave-functions, whose main peculiarity is that their descriptors/parameters are tailored according to simple linear algebraic relations. The computational power and success of these tools descends from arguments that were born within quantum information framework: entanglement [1]. Quantum entanglement is indeed a resource, but it is also a measure of internal correlations in multipartite systems. Once we characterized general entanglement properties of many-body ground states, then by controlling entanglement of a variational trial wavefunction we can exclusively address physical states, and disregard non-physical states, even before the simulation takes place. This is the central concept which Tensor Network architectures are based upon.

Tensor Networks: a quantum-information perspective on numerical renormalization groups / Silvi, Pietro. - (2011 Oct 28).

Tensor Networks: a quantum-information perspective on numerical renormalization groups

Silvi, Pietro
2011-10-28

Abstract

In this thesis, we will focus on a very general family of variational wave-functions, whose main peculiarity is that their descriptors/parameters are tailored according to simple linear algebraic relations. The computational power and success of these tools descends from arguments that were born within quantum information framework: entanglement [1]. Quantum entanglement is indeed a resource, but it is also a measure of internal correlations in multipartite systems. Once we characterized general entanglement properties of many-body ground states, then by controlling entanglement of a variational trial wavefunction we can exclusively address physical states, and disregard non-physical states, even before the simulation takes place. This is the central concept which Tensor Network architectures are based upon.
Fazio, Rosario
Santoro, Giuseppe Ernesto
Giovannetti, Vittorio
Silvi, Pietro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/4293
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