One of the key mysteries of quantum mechanics is the apparent faster-than-light communication between entangled particles. This was one of the qualms highlighted by Einstein, Podolsky, and Rosen in their famous EPR paper. Here, the locality of quantum systems and quantum mechanics is analyzed with reference to the phenomena of quantum teleportation. It is found that while information appears as though it is propagating nonlocally, in reality it can be explained using a local theory. The ideas of a nonlocal correlation and nonlocal information must be separated. Particularly, the concept of locally hidden or inaccessible information within subsystems of a wider quantum system is explained. Furthermore, it is shown that while some hidden-variable theories are proposed, they are not experimentally conclusive and do not provide a complete or better explanation of quantum mechanics.

1.
A.
Einstein
,
B.
Podolsky
, and
N.
Rosen
, “
Can quantum-mechanical description of physical reality be considered complete?
”
Phys. Rev.
47
,
777
–
780
(
1935
).
https://doi.org/10.1103/PhysRev.47.777
Google Scholar
Crossref
Search ADS
 
2.
C. H.
Bennett
,
G.
Brassard
,
C.
Crepeau
,
R.
Jozsa
,
A.
Peres
, and
W. K.
Wootters
, “
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
,”
Phys. Rev. Lett.
70
,
1895
–
1899
(
1993
).
https://doi.org/10.1103/PhysRevLett.70.1895
Google Scholar
Crossref
Search ADS
PubMed
 
3.
In this specific example the Bell state mediating the teleportation was created prior to being distributed to a satellite in low-Earth-orbit.
4.
B.
Li
,
Y.
Cao
,
Y.-H.
Li
,
W.-Q.
Cai
,
W.-Y.
Liu
,
J.-G.
Ren
,
S.-K.
Liao
,
H.-N.
Wu
,
S.-L.
Li
,
L.
Li
, and, ., “
Quantum state transfer over 1200 km assisted by prior distributed entanglement
,”
Phys. Rev. Lett.
128
,
170501
(
2022
).
https://doi.org/10.1103/PhysRevLett.128.170501
Google Scholar
Crossref
Search ADS
PubMed
 
5.
The locality in this paper is Einsteinian locality (causality).
6.
A.
Aspect
, “
Bell’s theorem: The naive view of an experimentalist
,” (
2004
), arXiv:quant-ph/0402001 [quant-ph].
Google Scholar
 
7.
M. A.
Nielsen
 and
I. L.
Chuang
,
Quantum Computation and Quantum Information
(
Cambridge University Press
,
Cambridge
,
2010
).
Google Scholar
 
8.
Also known as a Bell state or an entangled state.
9.
These calculations are done using the Heisenberg picture of quantum mechanics. Effectively, the feign of nonlocality is especially prevalent when analyzing interactions in quantum circuits using the Schrodinger picture, however, “the Heisenberg picture makes explicit what is implicit…in the Schrodinger picture” [10] (p. 23).
10.
D.
Deutsch
 and
P.
Hayden
, “
Information flow in entangled quantum systems
,”
Proc. R. Soc. London, Ser. A
456
,
1759
–
1774
(
2000
).
https://doi.org/10.1098/rspa.2000.0585
Google Scholar
Crossref
Search ADS
 
11.
C.H.S.H. stands for Clauser, Horne, Shimony, and Holt.
12.
J. F.
Clauser
,
M. A.
Horne
,
A.
Shimony
, and
R. A.
Holt
, “
Proposed experiment to test local hidden-variable theories
,”
Phys. Rev. Lett.
23
,
880
–
884
(
1969
).
https://doi.org/10.1103/PhysRevLett.23.880
Google Scholar
Crossref
Search ADS
 
13.
H. L.
Zhao
, “
On the implication of Bell’s probability distribution and proposed experiments of quantum measurement
,”
J. Exp. Theor. Phys.
117
,
999
–
1010
(
2013
).
https://doi.org/10.1134/S1063776113140070
Google Scholar
Crossref
Search ADS
 
14.
M.
Nagasawa
,
“On the locality of hidden-variable theories in quantum physics,” Chaos
,
Solitons Fractals
8
,
1773
–
1792
(
1997
).
https://doi.org/10.1016/S0960-0779(97)00036-2
Google Scholar
Crossref
Search ADS
 
15.
F.
Hirsch
,
M. T.
Quintino
,
J.
Bowles
, and
N.
Brunner
, “
Genuine hidden quantum nonlocality
,”
Phys. Rev. Letters
111
(
2013
).
https://doi.org/10.1103/PhysRevLett.111.160402
Google Scholar
 
16.
D. H.
McIntyre
,
Quantum Mechanics
(
Cambridge University Press
,
Cambridge
,
2022
).
Google Scholar
Crossref
Search ADS
 
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