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Purification of Gaussian States by Photon Subtraction
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Photon subtraction can enhance entanglement, which for pure states induces a decrease in the purity of reduced states. In contrast, by analyzing the purities of Gaussian states before and after subtracting a single photon, we prove that the purity of a Gaussian state can also be increased by less than 20%. On the one hand, it reveals that photon subtraction can reduce entanglement, and on the other hand, it reveals that it can achieve a limited amount of Gaussian state purification. Through the analysis of some examples, we demonstrate the inherent mechanism and applicable scope of photon-subtraction-based purification. In a multimode system, we find that photon subtraction can increase entanglement and purify some of the reduced states simultaneously. We thus present purification through the suppression of Gaussian noise as a new application for photon subtraction in continuous-variable quantum information processing.
Forward citations
Cited by 2 Pith papers
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Error Mitigation in Bosonic Systems via Virtual Distillation
Passive linear interferometers implement virtual distillation for bosonic observables, recovering noise-suppressed number, phase-shift and quadrature expectations under loss and dephasing.
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Extended analysis of distillation and purification of squeezed states of light
Adding a coherent displacement to two-photon subtraction lets one distill arbitrarily strong squeezing from any pure squeezed vacuum, and a Fock filter can purify mixed inputs.
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