Quantum disentangling operator and squeezed vacuum state’s noise of a mesoscopic two-loop LC circuit with mutual inductance

2020 ◽  
Vol 34 (12) ◽  
pp. 2050121
Author(s):  
Hong-Yi Fan ◽  
Xiang-Guo Meng
Keyword(s):  
Energy Level ◽  
Quantum Entanglement ◽  
Characteristic Frequency ◽  
Quantum Noise ◽  
Vacuum State ◽  
Mutual Inductance ◽  
Physical Processes ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Lc Circuit

Quantum disentanglement refers to the transformation of entangled quantum system into disentangled system via some physical processes. In this paper, we search for quantum disentangling operator for the mesoscopic two-loop [Formula: see text] circuit with mutual inductance [Formula: see text]. It is this mutual inductance that causes quantum entanglement. By virtue of the method of integration within ordered product (IWOP) of operators, we find the disentangling operator and deduce the energy level (characteristic frequency). The quantum noise expression of squeezed vacuum state is also derived based on which we see that the large number of quantum entanglement engendered by the mutual inductance is, the more quantum noise produces in the mesoscopic circuit.

UNBIASED QUANTUM RANDOM NUMBER GENERATION BASED ON SQUEEZED VACUUM STATE

2012 ◽  
Vol 10 (01) ◽  
pp. 1250012 ◽  
Author(s):  
YANYANG ZHU ◽  
GUANGQIANG HE ◽  
GUIHUA ZENG
Keyword(s):  
Random Number ◽  
Quantum Noise ◽  
Random Number Generation ◽  
Vacuum State ◽  
Random Numbers ◽  
Squeezed Vacuum State ◽  
Quantum Randomness ◽  
Number Generation ◽  
Squeezed Vacuum ◽  
The One

In this paper, a new quantum random number generation scheme which is implemented by measuring quantum noise of the squeezed vacuum state is proposed. In the proposed scheme, the Shannon entropy is employed to measure randomness of the generated random numbers. In addition, some characteristics of the generated random numbers are investigated. To reach the pure quantum randomness, an extraction approach based on universal hash functions for the generated quantum random numbers is presented. Results show that the proposed scheme based on squeezed vacuum state has remarkable advantages over the one associated with the vacuum state.

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.

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