Wigner Function Tomography via Optical Parametric Amplification
- URL: http://arxiv.org/abs/2207.10030v4
- Date: Thu, 6 Jul 2023 06:13:53 GMT
- Title: Wigner Function Tomography via Optical Parametric Amplification
- Authors: Mahmoud Kalash and Maria V. Chekhova
- Abstract summary: Wigner function tomography is indispensable for characterizing quantum states.
It requires efficient detection, which is critical for measuring fragile non-Gaussian states, especially bright ones.
Here we propose Wigner function tomography based on optical parametric amplification followed by direct detection.
- Score: 3.9494540318680365
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Wigner function tomography is indispensable for characterizing quantum
states, but its commonly used version, balanced homodyne detection, suffers
from several weaknesses. First, it requires efficient detection, which is
critical for measuring fragile non-Gaussian states, especially bright ones.
Second, it needs a local oscillator, tailored to match the spatiotemporal
properties of the state under test, and fails for multimode and broadband
states. Here we propose Wigner function tomography based on optical parametric
amplification followed by direct detection. The method is immune to detection
inefficiency and loss, and suitable for broadband, spatially and temporally
multimode quantum states. To prove the principle, we experimentally reconstruct
the Wigner function of squeezed vacuum occupying a single mode of a strongly
multimode state. We obtain a squeezing of $-7.5\pm 0.4$ dB and a purity of
$0.91^{+0.09}_{-0.08}$ despite more than $97\%$ loss caused mainly by
filtering. Theoretically, we also consider the reconstruction of a squeezed
single photon - a bright non-Gaussian state. Due to strong multimode parametric
amplification, the method allows for the simultaneous tomography of multiple
modes. This makes it a powerful tool for optical quantum information
processing.
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