SavedAdd your journal

Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler / 2020 / Cilt: 8 - Sayı: 2

IN THE CONTEXT OF TIME-INDEPENDENT PARAMETERS IN TWO QUANTUM SYSTEMS: QUANTUM ENTANGLEMENT AND CORRELATIONS WITH NEGATIVITY MEASUREMENT

Rasim DERMEZ
Yilmaz TUNÇER
Pages
316–327
Publication Date
2020-08-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space.
📊
Key Findings & Data:Three values of LDP, = 0.006, =0.06 and =0.08 are given.
💡
Conclusion & Impact:Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:reduced density matrix · Probability amplitudes · Interaction between ion and phonons

Abstract

In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space. The negativity and quantum correlations are revealed in trapped ion two phonon states system. Three values of LDP, = 0.006, =0.06 and =0.08 are given. The effects of the time-independent coupling in terms of the system, degree of quantum entanglement are investigated. Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space. The negativity and quantum correlations are revealed in trapped ion two phonon states system. Three values of LDP, = 0.006, =0.06 and =0.08 are given. The effects of the time-independent coupling in terms of the system, degree of quantum entanglement are investigated. Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.

Özet

In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space. The negativity and quantum correlations are revealed in trapped ion two phonon states system. Three values of LDP, = 0.006, =0.06 and =0.08 are given. The effects of the time-independent coupling in terms of the system, degree of quantum entanglement are investigated. Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.In this paper, we consider two phonons and three-level trapped ion in configuration forming Hilbert 12-space. The negativity and quantum correlations are revealed in trapped ion two phonon states system. Three values of LDP, = 0.006, =0.06 and =0.08 are given. The effects of the time-independent coupling in terms of the system, degree of quantum entanglement are investigated. Therefore, we have found the main optimal times for obtaining the high amount of entanglement with negativity.

🔖

Cite This Article

DERMEZ, R., TUNÇER, Y. (2020). IN THE CONTEXT OF TIME-INDEPENDENT PARAMETERS IN TWO QUANTUM SYSTEMS: QUANTUM ENTANGLEMENT AND CORRELATIONS WITH NEGATIVITY MEASUREMENT. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, Cilt: 8 - Sayı: 2, 316–327. https://ajindex.com/articles/253838

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Heisenberg W. The Physical Principles of the Quantum Theory. Dover Publications, New York, NY, USA, 1930
  2. Einstein A, Podolsky B, Rosen N. Can quantum-mechanical description of physical reality be considered complete?. Phys. Rev. 1935; 47: 777-780
  3. Bohr N. Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 1935; 48: 696-702
  4. Schördinger E. Die gegenwrtige situation in der quantenmechanik. Naturwissenschaften. 1935; 23: 807-812
  5. Hitoshi I. Quantum measurement cannot be a local physical process, journal of quantum ınformation science. 2019;9:171-178
  6. Landsman KA, Wu Y, Leung PH, Zhu D, Linke NM, Brown KR, Duan LM, Monroe C. Two-qubit entangling gates within arbitrarily long chains of trapped ions. Phys. Rev. A. 2019; 100: 02:2332
  7. Muhammed A. Qualitative aspects of the entanglement in the three-level model with photonic crystals. App. Phys. B. 2005; 81; 193-203
  8. Wong-Campos JD, Moses SA, Johnson KG, Monroe C. Demonstration of two-atom entanglement with ultrafast optical pulses. Phys. Rev. Lett. 2017; 119: 23: 0501. [9]Wootters WK. Entanglement of formation of an arbitrary state of two qubits. Phys. Rev Lett. 1998; 80; 2245-2248
  9. Guha MM. Quantum information processing using the exchange interaction. Journal of Quantum Information Science. 2018; 8; 139-160
  10. Dermez R, Deveci B, Güney DO. Quantum dynamics of a three-level trapped ion under a time-dependent interaction with laser beams. Eur. Phys. J. D. 2013; 67: 120
  11. James DFV. Quantum computation and quantum information theory. Appl. Phys. B. 1998; 66: 181-190
  12. Monreo C, Meekhof DM, King BE, Wineland DJ. A Schrödinger cat superposition state of an atom science. 1996; 272: 5265: 1131-1136
  13. Dermez R, Özen S. Higher dimensional entangled qudits in a trapped three-level ion. Eur. Phys. J. D. 2010;57: 431-437
  14. Yu GY, Du S, Li X, Wu S. Entangled bases with fixed Schmidt number. Journal of Physics A: Mathematical and Theoretical. 2015; 48: 24: 245301
  15. Dermez R, Müstecaplıoğlu ÖE. Long-lived entangled qudits in a trapped three-level ion beyond the Lamb–Dicke limit. Phys. Scr. 2009; 71: 015304
  16. Nieuwenburg E, Zilberberg O. Entanglement spectrum of mixed states. Phy. Rev. A. 2018; 98: 012327
  17. Neumann J. Mathematical Foundations of Quantum Mechanics. Princeton Uni. Press, NJ, USA: 1995
  18. Dermez R. Concurrence and negativity as a family of two measures elaborated for pure qudit states. Journal of Russian