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The role of topology in quantum tomography

Kech, M. and Vrana, Péter and Wolf, M. M. (2015) The role of topology in quantum tomography. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 48 (26). ISSN 1751-8113

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Abstract

We investigate quantum tomography in scenarios where prior information restricts the state space to a smooth manifold of lower dimensionality. By considering stability we provide a general framework that relates the topology of the manifold to the minimal number of binary measurement settings that is necessary to discriminate any two states on the manifold. We apply these findings to cases where the subset of states under consideration is given by states with bounded rank, fixed spectrum, given unitary symmetry or taken from a unitary orbit. For all these cases we provide both upper and lower bounds on the minimal number of binary measurement settings necessary to discriminate any two states of these subsets.

Item Type: Article
Uncontrolled Keywords: TOPOLOGY; DENSITY-MATRIX; quantum tomography; IMMERSIONS; SPIN S; HOMOGENEOUS SPACES; STERN-GERLACH MEASUREMENTS; PROJECTIVE STIEFEL MANIFOLDS;
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 14 Dec 2023 15:21
Last Modified: 14 Dec 2023 15:21
URI: http://real.mtak.hu/id/eprint/182678

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