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arxiv 2207.01270 v1 pith:L76TJUGN submitted 2022-07-04 quant-ph cond-mat.quant-gasphysics.atom-ph

Tomography of a number-resolving detector by reconstruction of an atomic many-body quantum state

classification quant-ph cond-mat.quant-gasphysics.atom-ph
keywords detectorreconstructionatomscountingcouplinghigh-fidelitymany-bodyquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The high-fidelity analysis of many-body quantum states of indistinguishable atoms requires the accurate counting of atoms. Here we report the tomographic reconstruction of an atom-number-resolving detector. The tomography is performed with an ultracold rubidium ensemble that is prepared in a coherent spin state by driving a Rabi coupling between the two hyperfine clock levels. The coupling is followed by counting the occupation number in one level. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. Our results offer an exciting perspective for the high-fidelity reconstruction of entangled states and can be applied for a future demonstration of Heisenberg-limited atom interferometry.

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