Amazing stuff! Over my head too! 😊
"Sensing and communication systems based on quantum-mechanical phenomena can greatly outperform today’s systems, in terms of accuracy and reliability, and are considered a pivotal part of developing next-generation networks. Developing quantum information and decision systems that come close to meeting the theoretical quantum advantages has been a longstanding challenge. Now, a team of researchers ... has developed a framework that could open up new ways of pushing such quantum systems all the way to their fundamental limits.
The key to the team’s new approach is the use of what are known as non-Gaussian quantum states. Most works on quantum sensing and communication systems are based on Gaussian states — namely, states of the electromagnetic field that can be described by Gaussian models. However, many quantum systems based on Gaussian states inevitably suffer from limitations that prevent them from achieving the full quantum advantage. ...
The new work proposes a particular category of non-Gaussian states known as photon-varied Gaussian states (PVGSs), which can be produced with current technologies. The team’s findings show that these PVGSs can indeed enhance the accuracy of quantum sensing, as well as improve the reliability of quantum communications. “We provide a unified characterization of PVGSs,” Conti says, “which facilitates the design of optimal quantum states for sensing and communications.” The unified characterization of quantum states not only simplifies theoretical derivations but also enables practical implementations. “We believe that quantum sensing and communication systems employing PVGSs will become a reality in the near future,” he says. ..."
From the abstract:
"Quantum sensing and communication (QSC) is pivotal for developing next-generation networks with unprecedented performance. Many implementations of existing QSC systems employ Gaussian states as they can be easily realized using current technologies. However, Gaussian states lack non-classical properties necessary to unleash the full potential of QSC.
This motivates the use of non-Gaussian states, which have non-classical properties beneficial for QSC. This paper establishes a theoretical foundation for QSC employing photon-varied Gaussian states (PVGSs). The PVGSs are non-Gaussian states that can be generated from Gaussian states using current technologies.
First, we derive a closed-form expression for the generalized bilinear generating function of ordinary Hermite polynomials and show how it can be used to describe PVGSs.
Then, we characterize PVGSs by deriving their Fock representation and their inner product. We also determine equivalence conditions for Gaussian states obtained from arbitrary permutations of rotation, displacement, and squeezing operators.
Finally, we explore the use of PVGSs for QSC in several case studies."
Fig. 1. Block diagram representing the sequence of operations to obtain mixed PVGSs (dashed dotted box) and pure PVGSs (dashed box), respectively defined in (27) and (29), for ζ,μ,ϕ,t , and k given as input parameters.
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