Mainz 2017 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 32: Quantum Information: Concepts and Methods V

Q 32.7: Talk

Wednesday, March 8, 2017, 16:00–16:15, P 2

Almost all pure four-qubit states are uniquely determined by their two-body marginals — •Nikolai Wyderka, Felix Huber, and Otfried Gühne — Naturwissenschaftlich Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany

Thermal states of Hamiltonians with two-body interactions are of great interest in quantum information processing as these states may be experimentally realised by engineering the Hamiltonian. The question of whether the ground state of such an Hamiltonian is unique is closely connected to the question whether the state is uniquely determined by its two-body marginals. For generic three-qubit states, it was shown that generic pure states are uniquely determined among all states by their two-body marginals [1]. We show that generic four-qubit states are uniquely determined among pure states by their two-body marginals.

[1] N. Linden, S. Popescu, and W. K. Wootters. Phys. Rev. Lett. 89, 207901 (2002).