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Optimization of the Combination of Teleportation Entanglement Witnesses in Two-Qubit systems

Farahmand, Zahra | 2024

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57044 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Raeisi, Sadegh; Karimipour, Vahid
  7. Abstract:
  8. Entanglement is one of the quantum resources that has crucial applications in many quantum tasks such as quantum teleportation, quantum key distribution, and quantum computations. Therefore, identifying entangled states is of great importance to us. There are various methods for distinguishing entangled states from separable states; however, each method is applicable under specific conditions or for special quantum states. One of these methods is measuring an observable, which, if its expectation value is negative, indicates the entanglement of the state; otherwise, it shows its separability. These observables are called entanglement witnesses, and for every entangled state, there exists at least one entanglement witness that can detect that state. Additionally, there are special states that are useful for quantum teleportation. In this thesis, we investigate an approach to introduce a set of entanglement witnesses (including a fixed number of them) in two-qubit systems that can detect the maximum number of entangled states suitable for quantum teleportation in total. We explore what these entanglement witnesses should be
  9. Keywords:
  10. Entanglement ; Entangled State ; Combining Linear Entanglement Witnesses ; Entangled States Detection Power ; Fully Entangled Fraction ; Entanglement Witnesses Optimization ; Entanglement Witness

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