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Title: Hyperdeterminant of 4-qubit spin chains
Author: Gasull Celades, Albert
Director/Tutor: Latorre, José Ignacio
Keywords: Determinants (Matemàtica)
Teoria quàntica
Treballs de fi de grau
Determinants (Mathematics)
Quantum theory
Bachelor's thesis
Issue Date: Jun-2017
Abstract: The properties of the hyperdeterminant, a genuine multipartite entanglement figure of merit for 4 qubits, are studied. We analyze when the hyperdeterminant detects quantum phase transitions and how it is related to the wave function of the system. By studying the ground state of two well-known quantum hamiltonians, Ising and XXZ, we analyze how entanglement behaves in terms of the hyperdeterminant. To conclude, we introduce finite temperature effects which leads us to explore the full spectrum of energies of both models.
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2017, Tutor: José Ignacio Latorre
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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