scholarly journals Entanglement of thermal state of quantum annealing processor

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 325-332
Author(s):  
Abdel-Haleem Abdel-Aty ◽  
Ahmad Khedr ◽  
Amr Youssef ◽  
Yasser Saddeek
Keyword(s):  
Quantum Correlation ◽  
Thermal State ◽  
Quantum Correlations ◽  
Chain Model ◽  
Spin Orbit Coupling ◽  
Coupling Constant ◽  
Quantum Annealing ◽  
System Parameters ◽  
Spin Chain Model ◽  
System Nodes

We investigate the dynamics of quantum correlations between the quantum annealing processor nodes. The quantum annealing processor is simulated by spin-chain model. It is assumed that system started from the thermal state. The Hamiltonian of the system is mathematically designed and analytically solved. The properties of the system are investigated. Negativity is used to investigate the dynamics of quantum correlation between the system nodes. The effect of the system parameters (spin-orbit coupling, coupling constant, and bias parameter) on the dynamics of negativity is explored. Results showed that the coupling constant had a great effect in the dynamics of the quantum correlation.

scholarly journals Entanglement of thermal state of quantum annealing processor

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 325-332
Author(s):  
Abdel-Haleem Abdel-Aty ◽  
Ahmad Khedr ◽  
Amr Youssef ◽  
Yasser Saddeek
Keyword(s):  
Quantum Correlation ◽  
Thermal State ◽  
Quantum Correlations ◽  
Chain Model ◽  
Spin Orbit Coupling ◽  
Coupling Constant ◽  
Quantum Annealing ◽  
System Parameters ◽  
Spin Chain Model ◽  
System Nodes

We investigate the dynamics of quantum correlations between the quantum annealing processor nodes. The quantum annealing processor is simulated by spin-chain model. It is assumed that system started from the thermal state. The Hamiltonian of the system is mathematically designed and analytically solved. The properties of the system are investigated. Negativity is used to investigate the dynamics of quantum correlation between the system nodes. The effect of the system parameters (spin-orbit coupling, coupling constant, and bias parameter) on the dynamics of negativity is explored. Results showed that the coupling constant had a great effect in the dynamics of the quantum correlation.

Thermal entanglement in quantum annealing processor

2018 ◽  
Vol 16 (01) ◽  
pp. 1850006 ◽  
Author(s):  
Abdel-Haleem Abdel-Aty ◽  
Ahmad N. Khedr ◽  
Yasser B. Saddeek ◽  
Amr A. Youssef
Keyword(s):  
Unitary Operator ◽  
Thermal State ◽  
Operator Method ◽  
Chain Model ◽  
Coupling Constant ◽  
Quantum Annealing ◽  
Thermal Entanglement ◽  
System Parameters ◽  
Constant Strength ◽  
Spin Chain Model

We discussed the entanglement generated by the quantum annealing processor in the thermal state. The quantum annealing processor is modeled using the spin-chain model. The system is analytically solved using the unitary operator method and generated correlations (Von Neuman, Shanonn entropies and Purity) are discussed. The effect of the system parameters such as coupling constant, strength coupling and bias parameter, on the dynamics of the generated entanglement is studied. It is shown that the system parameters can be used as a controller of the entanglement.

Thermal correlations and entropic uncertainty in a two-spin system under DM and KSEA interactions

2021 ◽  
pp. 2150209
Author(s):  
Youssef Khedif ◽  
Saeed Haddadi ◽  
Mohammad Reza Pourkarimi ◽  
Mohammed Daoud
Keyword(s):  
Magnetic Field ◽  
Quantum Information Processing ◽  
Quantum Correlations ◽  
Quantum Nonlocality ◽  
Chain Model ◽  
Spin Orbit ◽  
Heisenberg Spin ◽  
System Parameters ◽  
Heisenberg Spin Chain ◽  
Spin Chain Model

In this paper, the thermal quantum correlations along with the thermal entropic uncertainty in a two neighboring XYZ Heisenberg spin-1/2 particles subjected to a transverse external magnetic field with the interplay of both antisymmetric Dzyaloshinskii–Moriya and symmetric Kaplan–Shekhtman–Entin–Wohlman–Aharony are investigated. The quantum consonance and uncertainty-induced quantum nonlocality as well as the entropic uncertainty with quantum memory for the considered system are specified and the thermal behaviors of them in terms of the system parameters are examined. The expected decrease of quantum correlations for higher absolute temperatures is confirmed while the inflation of the uncertainty is generated. Moreover, we show that the stronger spin-spin and spin-orbit exchange couplings can enhance the thermal quantum correlations and suppress the uncertainty. Accordingly, our remarks are expected to be beneficent in illustrating the dynamical quantum correlations and entropy-based uncertainty in a general Heisenberg spin-chain model and thus would be useful for practical quantum information processing.

The quantum speed limit time of a two-qubit XYZ spin chain with intrinsic decoherence

2020 ◽  
Vol 35 (29) ◽  
pp. 2050244
Author(s):  
Lu Hou ◽  
Bin Shao ◽  
Yuguang Zhu
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Quantum Correlation ◽  
Speed Limit ◽  
Chain Model ◽  
Intrinsic Decoherence ◽  
Physical Reason ◽  
Limit Time ◽  
Spin Chain Model ◽  
Initial States

We study the quantum speed limit (QSL) time of the two-qubit XYZ spin chain model with the influence of intrinsic decoherence. We show that the intrinsic decoherence can suppress the evolution of this system, no matter what initial states the two qubits start from. The investigation of entanglement reveals that quantum correlation is the physical reason for the acceleration of the system. In addition, we also demonstrate that for different initial states, external magnetic field may have opposite influence on QSL time and it mainly derives from the inhibition of entanglement as magnetic field increases.

Improving of steering and nonlocality via local filtering operation in Heisenberg XY model

2020 ◽  
Vol 35 (28) ◽  
pp. 2050233
Author(s):  
Fa Zhao ◽  
Zhu Liu ◽  
Liu Ye
Keyword(s):  
Magnetic Field ◽  
Quantum Information ◽  
Anisotropy Constant ◽  
Xy Model ◽  
Chain Model ◽  
Coupling Constant ◽  
Spin Chain Model ◽  
Quantum Steering ◽  
Shed Light ◽  
Local Filtering

In this work, we mainly study quantum steering and nonlocality of two-qubit Heisenberg [Formula: see text] spin-1/2 chain via local filtering operation. Our analytical results show that quantum steering and nonlocality can be affected by coupling constant [Formula: see text], temperature [Formula: see text], external magnetic field [Formula: see text] and anisotropy constant [Formula: see text]. Quantum steering and nonlocality would degrade with the increase of temperature [Formula: see text] and anisotropy constant [Formula: see text]. When [Formula: see text] is small, we can observe quantum steering and nonlocality increase with [Formula: see text]. When [Formula: see text] getting bigger, what we will see is that steering goes down first, then grows up. We can improve quantum steering and nonlocality via local filtering operation. We chose an appropriate parameter [Formula: see text], the steering and nonlocality can be improved when we fix three in those four parameters. There is a queer phenomenon in some situations that the range of one side for steering and nonlocality can extend greatly by losing them in another side. Therefore, our investigations might shed light on steering and nonlocality under the Heisenberg [Formula: see text] spin chain model and make a little step in the progress of quantum information.

Ground configuration splitting in UCl5

1977 ◽  
Vol 55 (10) ◽  
pp. 937-942 ◽  
Author(s):  
A. F. Leung ◽  
Ying-Ming Poon
Keyword(s):  
Crystal Field ◽  
Energy Levels ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Point Charge Model ◽  
X Ray Crystallography ◽  
Charge Model ◽  
Crystal Field Parameters

The absorption spectra of UCl5 single crystal were observed in the region between 0.6 and 2.4 μm at room, 77, and 4.2 K temperatures. Five pure electronic transitions were assigned at 11 665, 9772, 8950, 6643, and 4300 cm−1. The energy levels associated with these transitions were identified as the splittings of the 5f1 ground configuration under the influence of the spin–orbit coupling and a crystal field of C2v symmetry. The number of crystal field parameters was reduced by assuming the point-charge model where the positions of the ions were determined by X-ray crystallography. Then, the crystal field parameters and the spin–orbit coupling constant were calculated to be [Formula: see text],[Formula: see text], [Formula: see text], and ξ = 1760 cm−1. The vibronic analysis showed that the 90, 200, and 320 cm−1 modes were similar to the T2u(v6), T1u(v4), and T1u(v3) of an UCl6− octahedron, respectively.

Magnetic Susceptibilities of 2T2 Ions. Part 1

1972 ◽  
Vol 50 (10) ◽  
pp. 1468-1471 ◽  
Author(s):  
Alan D. Westland
Keyword(s):  
Magnetic Susceptibility ◽  
Excited State ◽  
Reduction Factor ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Magnetic Susceptibilities

An expression for the magnetic susceptibility of octahedral d1 complexes is derived exactly in terms of an orbital reduction factor k taking into account the presence of the formal 2E excited state. Sample calculations show that the improved expression gives results for susceptibility which are lower at times by several percent from those given by previous expressions. The results given by Figgis using Kotani's method are adequately precise when the spin–orbit coupling constant is no larger than ~0.1 Dq.

SOLITONS AND OTHER SOLUTIONS FOR THE (2+1)-DIMENSIONAL HEISENBERG FERROMAGNETIC SPIN CHAIN EQUATION USING IMPROVED MODIFIED EXTENDED TANH-FUNCTION METHOD

2021 ◽  
Vol 10 (11) ◽  
pp. 3491-3504
Author(s):  
A. Darwish ◽  
H.M. Ahmed ◽  
M. Ammar ◽  
M.H. Ali ◽  
A.H. Arnous
Keyword(s):  
Periodic Solutions ◽  
Exponential Function ◽  
Spin Chain ◽  
Function Method ◽  
Chain Model ◽  
Bright Solitons ◽  
Dark Solitons ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Spin Chain Model ◽  
Chain Equation

This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions. Moreover, some of the obtained solutions are represented graphically.

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