Probing multimode squeezing with correlation functions

By Andreas Christ, K. Laiho, A. Eckstein, K. Cassemiro, Christine Silberhorn. 2010

259 citations recorded by the source corpus.

Broadband multimode squeezers constitute a powerful quantum resource with promising potential for different applications in quantum information technologies such as information coding in quantum communication networks or quantum simulations in higher-dimensional systems. However, the characterization of a large array of squeezers that coexist in a single spatial mode is challenging. In this paper, we address this problem and propose a straightforward method for determining the number of squeezers and their respective squeezing strengths by using broadband multimode correlation function measurements. These measurements employ the large detection windows of the state of the art avalanche photodiodes in order to simultaneously probe the full Hilbert space of the generated state, which enables us to benchmark the squeezed states. Moreover, due to the structure of correlation functions, our measurements are not affected by losses. This is a significant advantage, since detectors with low efficiencies are sufficient. Our approach is less costly than tomographic methods relying on multimode homodyne detection, which is based on much more demanding measurement and analysis tools and appear to be impractical for large Hilbert spaces.

Subfields: Acoustics and Ultrasonics, Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/cccee7b5c6c6982c74c459e5e574f33b3a7e0ffb

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Citations in the corpus

Chip-to-chip quantum teleportation and multi-photon entanglement in silicon (2019, background): “Quantum mechanically, the interactions among the pump beam and the signal-idler photon-pairs can be described by an effective Hamiltonian Ĥint [46],”
Introduction to the transverse spatial correlations in spontaneous parametric down-conversion through the biphoton birth zone (2015, background): “This can be understood because even though any single pair of modes may produce thermally distributed photon pairs, the measured photon statistics will be a convolution over multiple such modes, giving Poisson-distributed photon pairs (Avenhaus et al 2008, Christ et al 2011).”
Nonlinear optical signals and spectroscopy with quantum light (2016, methodology): “…which are the relevant quantities in nonlinear spectroscopy, may be most conveniently evaluated by switching to the Heisenberg picture, in which the Schmidt mode operators become (Christ et al., 2013, 2011) Aoutk = cosh(rk)A in k + sinh(rk)B †in k , (60) Boutk = cosh(rk)B in k + sinh(rk)A †in k .”
Quantum computational advantage using photons (2020, methodology): “A second estimation of the purity is by unheralded second-order correlation measurements ( 47 ), which agrees with independent calibrations using time-delayed Hong-Ou-Mandel ( 48 ) interference visibility at low pump power.”
Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime (2012, background): “A variety of models have been developed for PDC [24, 25, 26, 27, 10, 28] and FC [16, 17, 18, 13, 29].”
Quantum circuits with many photons on a programmable nanophotonic chip (2021, background): “This can be quantified by the Schmidt numbers Ki [30, 35] of our squeezer sources, or, equivalently, the unheralded second-order correlation”