Related papers: Achieving Heisenberg limit in the phase measurement through three-qubit graph states

Achieving Heisenberg limit in the phase measurement through three-qubit graph states

URL: http://arxiv.org/abs/2208.07772v1
Date: Tue, 16 Aug 2022 14:34:48 GMT
Title: Achieving Heisenberg limit in the phase measurement through three-qubit graph states
Authors: Subhasish Bag, Ramita Sarkar and Prasanta K. Panigrahi
Abstract summary: We study the reciprocal of the mean quantum Fisher information (RMQFI), $chi2$ for general three qubit states, having graph and hypergraph states as special cases. We demonstrate that the most symmetric graph state and the GHZ state have the lowest RMQFI values leading to the highest statistical speed.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the reciprocal of the mean quantum Fisher information (RMQFI), $\chi^2$ for general three qubit states, having graph and hypergraph states as special cases, for identifying genuine multi party entanglement characterized by $\chi^2 <1$. We demonstrate that the most symmetric graph state and the GHZ state have the lowest RMQFI values leading to the highest statistical speed showing that both these states attain the Heisenberg limit in phase sensitivity. Unlike the GHZ state, graph states have the same RMQFI values for measurement through different parameters, a property shared by the hypergraph states. Three qubit graph and hypergraph states can violate Bell's inequality as $F_Q > N$. Both the GHZ state and the most symmetric graph state have the highest concurrence equalling 3 and the maximum QFI values.

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