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Spectrum estimation of density operators with alkaline-earth atoms

Research paper by Michael E. Beverland, Jeongwan Haah, Gorjan Alagic, Gretchen K. Campbell, Ana Maria Rey, Alexey V. Gorshkov

Indexed on: 05 Aug '16Published on: 05 Aug '16Published in: Quantum Physics



Abstract

We show that Ramsey spectroscopy of fermionic alkaline-earth atoms in a square-well trap provides an efficient and accurate estimate for the eigenspectrum of a density matrix whose $n$ copies are stored in the nuclear spins of $n$ such atoms. This spectrum estimation is enabled by the high symmetry of the interaction Hamiltonian, dictated, in turn, by the decoupling of the nuclear spin from the electrons and by the shape of the square-well trap. Practical performance of this procedure and its potential applications to quantum computing, quantum simulation, and time-keeping with alkaline-earth atoms are discussed.