In the present paper, a quantum teleportation protocol for split-squeezed Bose-Einstein Condensates is proposed that transfers a spin coherent state between two locations using entanglement introduced by squeezing interactions. One axis squeezing is used for this purpose, two axis anti squeezing further reduces the noise. The protocol uses continuous variable quadrature measurements that works for short interaction times in the Holstein-Primakoff approximation. The performance of the protocol is also analyzed by calculating the fidelity to show that it exceeds the classical bound.

1.
A.
Berkley
,
H.
Xu
,
R.
Ramos
,
M.
Gubrud
,
F.
Strauch
,
P.
Johnson
,
J.
Anderson
,
A.
Dragt
,
C.
Lobb
, and
F.
Wellstood
, “
Entangled macroscopic quantum states in two superconducting qubits
,”
Science
300
,
1548
1550
(
2003
).
2.
J.
Yin
,
Y.
Cao
,
Y.-H.
Li
,
S.-K.
Liao
,
L.
Zhang
,
J.-G.
Ren
,
W.-Q.
Cai
,
W.-Y.
Liu
,
B.
Li
,
H.
Dai
, et al., “
Satellite-based entanglement distribution over 1200 kilometers
,”
Science
356
,
1140
1144
(
2017
).
3.
T.
Byrnes
, “
Fractality and macroscopic entanglement in two-component bose-einstein condensates
,”
Physical Review A
88
,
023609
(
2013
).
4.
T.
Byrnes
,
K.
Wen
, and
Y.
Yamamoto
, “
Macroscopic quantum computation using bose-einstein condensates
,”
Physical Review A
85
,
040306
(
2012
).
5.
A. N.
Pyrkov
and
T.
Byrnes
, “
Quantum teleportation of spin coherent states: beyond continuous variables teleportation
,”
New Journal of Physics
16
,
073038
(
2014
).
6.
A. N.
Pyrkov
and
T.
Byrnes
, “
Full-bloch-sphere teleportation of spinor bose-einstein condensates and spin ensembles
,”
Physical Review A
90
,
062336
(
2014
).
7.
Y.
Jing
,
M.
Fadel
,
V.
Ivannikov
, and
T.
Byrnes
, “
Split spin-squeezed bose–einstein condensates
,”
New Journal of Physics
21
,
093038
(
2019
).
8.
M. F.
Riedel
,
P.
Böhi
,
Y.
Li
,
T. W.
Hänsch
,
A.
Sinatra
, and
P.
Treutlein
, “
Atom-chip-based generation of entanglement for quantum metrology
,”
Nature
464
,
1170
(
2010
).
9.
M.
Kitagawa
and
M.
Ueda
, “
Squeezed spin states
,”
Physical Review A
47
,
5138
(
1993
).
10.
S. L.
Braunstein
and
P.
Van Loock
, “
Quantum information with continuous variables
,”
Reviews of Modern Physics
77
,
513
(
2005
).
11.
L.
Vaidman
, “
Teleportation of quantum states
,”
Physical Review A
49
,
1473
(
1994
).
12.
B.
Julsgaard
,
A.
Kozhekin
, and
E. S.
Polzik
, “
Experimental long-lived entanglement of two macroscopic objects
,”
Nature
413
,
400
(
2001
).
13.
H.
Krauter
,
C. A.
Muschik
,
K.
Jensen
,
W.
Wasilewski
,
J. M.
Petersen
,
J. I.
Cirac
, and
E. S.
Polzik
, “
Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
,”
Physical review letters
107
,
080503
(
2011
).
This content is only available via PDF.