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Abstract
It is well known that the waveguide beam splitter can be used as a source for the quantum entanglement of photons. The analysis of such quantum entanglement is a difficult problem even for monochromatic photons, since the system under study is multiparametric. This paper will show that quantum entanglement can be represented in a simple form not only for monochromatic photons but also for non-monochromatic ones. It will be shown that quantum entanglement for non-monochromatic photons can be very different from monochromatic photons, which can be used to create large quantum entanglement.
Highlights
It has long been known that the beam splitter (BS) is a source of quantum entangled photons [1,2,3,4]
Such quantum entanglement sources can be used in many areas of modern quantum technology: quantum metrology [5], quantum information [6], linear optical quantum computing (LOQC) [7,8,9,10], etc
The waveguide beam splitter is an important part in integrated quantum photonics, which is currently implemented in many circuits, e.g., [13,14], and which can be part of an optical quantum computer [9,15]
Summary
It has long been known that the beam splitter (BS) is a source of quantum entangled photons [1,2,3,4]. Even if we take into account that non-monochromatic photons are fed to the input ports of the beam splitter, the results will be the same as in the case of monochromatic photons This is due to the fact that in these theories coefficients R and. [20,21] the theory of a frequencydependent BS in the form of coupled waveguides was presented In these papers, it was shown that if the BS is represented as a coupled waveguide, the coefficients R and T depend on the frequencies of the photons fed into both ports of the BS. It is necessary to study the quantum entanglement of photons on the waveguide BS taking into account the frequency dependence of reflection coefficient R and transmission T. The von Neumann entropy is not always convenient for calculating quantum entanglement because it is hard to calculate
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