How gravitational fluctuations degrade the high-dimensional spatial
entanglement
- URL: http://arxiv.org/abs/2208.04000v1
- Date: Mon, 8 Aug 2022 09:28:59 GMT
- Title: How gravitational fluctuations degrade the high-dimensional spatial
entanglement
- Authors: Haorong Wu, Xilong Fan, Lixiang Chen
- Abstract summary: Twisted photons carrying orbital angular momentum (OAM) are competent candidates for future interstellar communications.
It is seen that the OAM cannot remain conserved in the presence of gravitational fluctuations.
It is revealed that the higher-dimensional OAM entanglement is more susceptible to spacetime fluctuations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Twisted photons carrying orbital angular momentum (OAM) are competent
candidates for future interstellar communications. However, the gravitational
fluctuations are ubiquitous in spacetime. Thus a fundamental question arises
naturally as to how the gravitational fluctuations affect the coherence and the
degree of high-dimensional OAM entanglement when twisted photons travel across
the textures of curved spacetime. Here, we consider the covariant scalar
Helmholtz equations and the Minkowski metric with fluctuations of Gaussian
distribution and formulate analytically the equations describing the motion for
twisted light in the Laguerre-Gaussian mode space. It is seen that the OAM
cannot remain conserved in the presence of gravitational fluctuations.
Furthermore, two-photon density matrices are derived for interstellar OAM
quantum entanglement distribution, and the degree of entanglement degradation
is characterized by purity and negativity. It is revealed that the
higher-dimensional OAM entanglement is more susceptible to spacetime
fluctuations. We believe that our findings will be of fundamental importance
for the future interstellar quantum communications with twisted photons.
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