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Activating Hidden Metrological Usefulness
Géza Tóth1, Tamás Vértesi2, Paweł Horodecki3
1Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain, Donostia International Physics Center (DIPC), P.O. Box 1072, E-20080 San Sebastián, Spain, IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain, and Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary.
Abstract:
We consider bipartite entangled states that cannot outperform separable states in any linear interferometer. Then, we show that these states can still be more useful metrologically than separable states if several copies of the state are provided or an ancilla is added to the quantum system. We present a general method to find the local Hamiltonian for which a given quantum state performs the best compared to separable states. We obtain analytically the optimal Hamiltonian for some quantum states with a high symmetry. We show that all bipartite entangled pure states outperform separable states in metrology. Some potential applications of the results are also suggested.
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