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In the original article, two references were not cited. These are as follows:

20. Marshman RJ, Mazumdar A, Bose S. Locality and entanglement in table-top testing of the quantum nature of linearized gravity. Phys Rev A (Coll Park) (2020) 101:052110. doi:10.1103/physreva.101.052110

21. Bose S, Mazumdar A, Schut M, Toros M. Mechanism for the quantum natured gravitons to entangle masses. Phys Rev D (2022) 105:106028. doi:10.1103/physrevd.105.106028

The citations appearing as Ref. [20] and Ref. [21] in the reference list, respectively) have now been inserted in

Additionally, there was a mistake in the original article relating to a reference (i.e., Ref. [18] in the original article) which has now been withdrawn from arXiv. Previously this was listed as:

18. Lokare Y. A complete analysis of spin coherence in the full-loop stern-gerlach interferometer using non-squeezed and squeezed coherent states of the quantum harmonic oscillator (2021).

The original article referenced and discussed results appearing in Ref. [18].

“In principle, it is possible to realize full-loop Stern-Gerlach interferometers using pure Bose-Einstein condensates (BECs). A possible arrangement is to have a BEC initially confined within a harmonic trap, which is then released and probed in a Stern-Gerlach interferometric setup. To this end, we consider one such case, as proposed and/or analyzed in Ref. [22]. We work under the crude assumption that interactions between atoms in the BEC are effectively negligible, in light of which the analysis will simply reduce to the single-particle limit. Note here that a rapid free expansion of the BEC post-release is being assumed. The wave-packet of a BEC satisfies the Gross-Pitaevskii equation, as follows_{
MF
}(^{
2
}
_{
BEC
} [computed over the total time-of-flight

The integral in _{
z
} denotes the initial momentum uncertainty in the initially prepared BEC wave-packet (_{
z
} _{
BEC
}

To maximize the Stern-Gerlach interference signal strength, ^{1}

A more robust analysis is however in order, for the following reasons. In an experimental setup, it is quite possible that the initial BEC wave-packet might not assume a Gaussian profile, in light of which ^{1}. It is in fact, necessary to consider a full quantum many-body treatment of a trapped impure BEC (i.e., by incorporating finite-temperature effects), which from an experimental point of view, seems more reasonable. Experimental realizations of the kind described here have already been reported in the literature. Ref. [23] for instance, reports the realization of a high stability Stern-Gerlach spatial fringe interferometer with pure BECs.

Using heavy neutral test masses instead of atomic clouds is another viable, yet formidable approach^{1}. It is worth bearing in mind however that such an experiment would demand a delicate balance between several experimental parameters. A more realistic implementation of such a setup (more specifically, the quantification of the Stern-Gerlach interference signal strength) will have to take into account the effects of the field gradient present in the ^{1}. This warrants a 2D analysis of such a setup [14]. In recent years, there have been attempts to address some of these issues. Marshman

Considering the above correction,

In addition, Refs. [20] and [97] appearing in the original article have now been published in peer-reviewed journals. Therefore, their journal references have been added and now read as follows:

20. Japha Y. Unified model of matter-wave-packet evolution and application to spatial coherence of atom interferometers. Phys Rev A (Coll Park) (2021) 104:053310. doi:10.1103/physreva.104.053310

24. Marshman RJ, Mazumdar A, Folman R, Bose S. Constructing nano-object quantum superpositions with a Stern-Gerlach interferometer. Phys Rev Res (2022) 4:023087. doi:10.1103/physrevresearch.4.023087

Finally, the

“The author YL would like to express his gratitude to his former mentors, A. Mazumdar and S. Bose, with whom he has had several useful and/or insightful discussions on matter-wave interferometry and related areas (in particular, realizing quantum gravity tests using Stern-Gerlach interferometry).”

The author apologizes for this error and states that this does not change the scientific conclusions of the article in any way. The original article has been updated.

Bose S, Mazumdar A. Private Communication. (2021).

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