A1 Journal article – refereed
Obtaining conclusive information from incomplete experimental quantum tomography

List of Authors: Henri Lyyra, Tom Kuusela, Teiko Heinosaari
Publication year: 2019
Journal: Physical Review A
Journal name in source: PHYSICAL REVIEW A
Journal acronym: PHYS REV A
Volume number: 99
Issue number: 4
Number of pages: 8
ISSN: 2469-9926
eISSN: 2469-9934

We demonstrate that incomplete quantum tomography can give conclusive information in experimental realizations. We divide the state space into a union of multiple disjoint subsets and determine conclusively to which of the subsets a system, prepared in completely unknown state, belongs. In other words, we construct and solve membership problems. Our membership problems are partitions of the state space into a union of four disjoint sets formed by fixing two maximally entangled reference states and boundary values of a fidelity function "radius" between the reference states and the unknown preparation. We study the necessary and sufficient conditions of the measurements that solve these membership problems conclusively. We construct and experimentally implement such informationally incomplete measurement on two-photon polarization states with combined one-qubit measurements, and we solve the membership problem in example cases.

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Last updated on 2019-21-08 at 21:06