Study of entanglement entropy and exchange coupling in two-electron coupled quantum dots

Khordad, R.; Servatkhah, M.

doi:10.1007/s11082-017-1044-1

Cited by 9 publications

(4 citation statements)

References 45 publications

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“…By having the density operator, one can calculate all quantum coherence properties or entanglement criteria. Although there are many references which addressed two-qubit entropy measures (Anaya-Contreras et al 2019;Khordad and Servatkhah 2017;Friis et al 2017;Rehman and Shin 2019), but, very recently, it has been theoretically developed and experimentally demonstrated a new method, resourceand computationally efficient, for quantum state tomography in Fock basis via Wigner function reconstruction and semidefinite programming (Nehra et al 2020). They have shown that obtained density operator from this method is robust against the noise of measurement and relies on no approximate state displacements, and requires all physical properties.…”

Section: Introductionmentioning

confidence: 99%

Measurement of entropy and quantum coherence properties of two type-I entangled photonic qubits

2021

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Using the type-I SPDC process in BBO nonlinear crystal, we generate a polarization-entangled state near to the maximally-entangled Bell-state with high-visibility (high-brightness) 98.50 ± 1.33% (87.71 ± 4.45%) for HV (DA) basis. We calculate the CHSH version of the Bell inequality, as a nonlocal realism test, and find a strong violation from the classical physics or any hidden variable theory, S = 2.71 ± 0.10. Via measuring the coincidence count rate in the SPDC process, we obtain the quantum efficiency of single-photon detectors around (25.5 ± 3.4)%, which is in good agreement to their manufacturer company. As expected, we verify the linear dependency of the CC rate vs. pump power of input CW-laser, which may yield to find the effective second-order susceptibility crystal. Using the theory of the measurement of qubits, includes a tomographic reconstruction of quantum states due to the linear set of 16 polarization-measurement, together with a maximum-likelihood-technique, which is based on the numerical optimization, we calculate the physical non-negative definite density matrices, which implies on the non-separability and entanglement of prepared state. By having the maximum likelihood density operator, we calculate precisely the entanglement measures such as Concurrence, entanglement of formation, tangle, logarithmic negativity, and different entanglement entropies such as linear entropy, Von-Neumann entropy, and Renyi 2-entropy. Finally, this high-brightness and low-rate entangled photons source can be used for short-range quantum measurements in the Lab.

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Section: Introductionmentioning

confidence: 99%

Measurement of entropy and quantum coherence properties of two type-I entangled photonic qubits

2021

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“…[49,57,58] In the scenario of DQDs, these connections between quantum coherence and other quantum resources have received considerable attention. [29,[59][60][61][62][63][64][65] In this regard, this work studies the effect of an external stimulus on the quantum aspects of thermal coherence and entanglement in a two-coupled DQDs system. The external stimulus is characterized by the transition frequency of the electrons between the left and right dots.…”

Section: Doi: 101002/andp202200537mentioning

confidence: 99%

“…[ 49,57,58 ] In the scenario of DQDs, these connections between quantum coherence and other quantum resources have received considerable attention. [ 29,59–65 ]…”

Section: Introductionmentioning

confidence: 99%

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

et al. 2023

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Studying quantum properties in solid-state systems is a significant avenue for research. In this scenario, double quantum dots appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology. This work inspects the thermal entanglement and quantum coherence in two-coupled DODs, where the system is exposed to an external stimulus that induces an electronic transition within each subsystem. The results show that the introduction of external stimulus induces a quantum level crossing that relies upon the Coulomb potential changing the degree of quantum entanglement and coherence of the system. Thus, the quantum properties of the system can be tuned by changing the transition frequency, leading to the enhancement of its quantum properties. IntroductionStudying theoretical quantum information quantifiers in condensed matter physics systems has paramount importance as a key resource for several information processing protocols.

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“…On the one hand, in theoretical condensed matter field for modeling and gaining further knowledge on Quantum Dots (QDs) in semiconductors (such as GaAs) and confined systems [1–4]. Recent works concerning two and three dimensional quantum dots study properties of these impurities such as Aharonov–Bohm oscillations [5], decoherence effects [6], thermo‐magnetic properties [7–10], interactions with electric and laser fields [11–15], topological dependence on the stated properties [16, 17], quantum entanglement [18], mathematical modeling [19–21] and even few‐electron systems confined in such potentials [22, 23]. On the other hand, Ali‐Bodmer potentials for describing α particles interactions in nuclear physics [24] are still employed in nuclear structure calculations with α clustering [25–27].…”

Section: Introductionmentioning

confidence: 99%

Few electron systems confined in Gaussian potential wells and connection to Hooke atoms

Telleria‐Allika

Mercero

Ugalde

et al. 2022

Int J of Quantum Chemistry

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In this work, we have computed and implemented one-body integrals concerning Gaussian confinement potentials over Gaussian basis functions. Then, we have set an equivalence between Gaussian and Hooke atoms and we have observed that, according to singlet and triplet state energies, both systems are equivalent for large confinement depth for a series of even number of electrons n = 2, 4, 6, 8 and 10.

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Study of entanglement entropy and exchange coupling in two-electron coupled quantum dots

Cited by 9 publications

References 45 publications

Measurement of entropy and quantum coherence properties of two type-I entangled photonic qubits

Measurement of entropy and quantum coherence properties of two type-I entangled photonic qubits

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

Few electron systems confined in Gaussian potential wells and connection to Hooke atoms

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