Quantum-Catalyzed Squeezed Vacuum State with Single-Photon Measurement and its Nonclassicality

2018 ◽  
Vol 57 (9) ◽  
pp. 2892-2903 ◽  
Author(s):  
Heng-Mei Li ◽  
Xue-Xiang Xu ◽  
Zhen Wang ◽  
Zhi-Long Wan ◽  
Xu-Ye Jun
Keyword(s):  
Single Photon ◽  
Vacuum State ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum

Quantum entanglement and teleportation in superposition of multiple-photon-added two-mode squeezed vacuum state

2020 ◽  
Vol 34 (25) ◽  
pp. 2050223
Author(s):  
T. M. Duc ◽  
T. Q. Dat ◽  
H. S. Chuong
Keyword(s):  
Quantum Entanglement ◽  
Single Photon ◽  
Vacuum State ◽  
Addition Formula ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Einstein Podolsky Rosen ◽  
Quantum Steering ◽  
Degree Of Entanglement ◽  
Photon Addition

In this paper, a new state called superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS) is introduced by adding the multiple photons to both modes of a two-mode squeezed vacuum state (TMSVS). We explicitly investigate the degree of quantum entanglement, the Einstein–Podolsky–Rosen (EPR) correlation and the quantum steering in the SMPA-TMSVS. The results show in the SMPA-TMSVS that the degree of entanglement and the EPR correlation can be enhanced by nonlocal adding photons to a TMSVS. The quantum steering appears in the SMPA-TMSVS in case the superposition of single-photon addition [Formula: see text], in which mode [Formula: see text] can steer mode [Formula: see text]. By using the SMPA-TMSVS as an entangled resource, the quantum teleportation process is studied in detail based on the Vaidman–Braunstein–Kimble (VBK) protocol.

LEGENDRE POLYNOMIALS AS THE NORMALIZATION OF PHOTON-SUBTRACTED SQUEEZED STATES

2009 ◽  
Vol 24 (20) ◽  
pp. 1597-1603 ◽  
Author(s):  
HONG-YI FAN ◽  
LI-YUN HU ◽  
XUE-XIANG XU
Keyword(s):  
Legendre Polynomial ◽  
Legendre Polynomials ◽  
Hermite Polynomial ◽  
Vacuum State ◽  
Squeezed States ◽  
Squeezed State ◽  
Normalization Factor ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Excitation State

By converting the photon-subtracted squeezed state (PSSS) to a squeezed Hermite-polynomial excitation state we find that the normalization factor of PSSS is an m-order Legendre polynomial of the squeezing parameter, where m is the number of subtracted photons. Some new relations about the Legendre polynomials are obtained by this analysis. We also show that the PSSS can also be treated as a Hermite-polynomial excitation on squeezed vacuum state.

High Order Nonclassical Properties of the Squeezed Vacuum State

2019 ◽  
Vol 25 (3) ◽  
pp. 252-258
Author(s):  
范有机 FAN You-ji ◽  
卢道明 LU Dao-ming
Keyword(s):  
Vacuum State ◽  
High Order ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Nonclassical Properties

CORRELATION OF SUPERCURRENTS IN TWO DISTANT MESOSCOPIC SQUID RINGS IN THE PRESENCE OF TWO-MODE NONCLASSICAL FIELD

2005 ◽  
Vol 19 (11) ◽  
pp. 1965-1971 ◽  
Author(s):  
Z. H. PENG ◽  
J. ZOU ◽  
B. SHAO ◽  
J. F. CAI
Keyword(s):  
Quantum Interference ◽  
Vacuum State ◽  
Superconducting Quantum Interference Device ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Superconducting Quantum Interference ◽  
Squid Rings ◽  
Degree Of Entanglement

In this paper we consider two distant mesoscopic superconducting quantum interference device (SQUID) rings A and B in the presence of two-mode squeezed vacuum state field, and aim to see the effect of the field on the correlation of supercurrents in the two rings. We know the degree of entanglement of the two-mode squeezed vacuum state increases with the squeezing parameter r. In this paper we find that the correlation of the supercurrents increases with the parameter r too, meaning that the correlation of the supercurrents increases with the degree of entanglement of the field.

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