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.

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.

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.

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.

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.

scholarly journals Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries

2020 ◽  
Vol 960 ◽  
pp. 115206
Author(s):  
Xiaotian Xu ◽  
Junpeng Cao ◽  
Yi Qiao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Chain Model ◽  
Spin Chain Model ◽  
Bethe Ansatz Solution

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.

scholarly journals Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
F. Deuretzbacher ◽  
D. Becker ◽  
J. Bjerlin ◽  
S. M. Reimann ◽  
L. Santos
Keyword(s):  
Spin Chain ◽  
Chain Model ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Spin Chain Model

scholarly journals Minimizing irreversible losses in quantum systems by local counterdiabatic driving

2017 ◽  
Vol 114 (20) ◽  
pp. E3909-E3916 ◽  
Author(s):  
Dries Sels ◽  
Anatoli Polkovnikov
Keyword(s):  
Variational Approach ◽  
Chaotic Systems ◽  
Chem Phys ◽  
Quantum Systems ◽  
Particle Systems ◽  
Coupling Constant ◽  
Quantum Annealing ◽  
Physical Constraints ◽  
Adiabatic Dynamics

Counterdiabatic driving protocols have been proposed [Demirplak M, Rice SA (2003) J Chem Phys A 107:9937–9945; Berry M (2009) J Phys A Math Theor 42:365303] as a means to make fast changes in the Hamiltonian without exciting transitions. Such driving in principle allows one to realize arbitrarily fast annealing protocols or implement fast dissipationless driving, circumventing standard adiabatic limitations requiring infinitesimally slow rates. These ideas were tested and used both experimentally and theoretically in small systems, but in larger chaotic systems, it is known that exact counterdiabatic protocols do not exist. In this work, we develop a simple variational approach allowing one to find the best possible counterdiabatic protocols given physical constraints, like locality. These protocols are easy to derive and implement both experimentally and numerically. We show that, using these approximate protocols, one can drastically suppress heating and increase fidelity of quantum annealing protocols in complex many-particle systems. In the fast limit, these protocols provide an effective dual description of adiabatic dynamics, where the coupling constant plays the role of time and the counterdiabatic term plays the role of the Hamiltonian.

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