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Entanglement Generation and Distribution in Spin Chains

Ghojavand, Majid | 2012

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 43221 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Rouhani, Shahin; Jafarizadeh, Mohammad Ali
  7. Abstract:
  8. Entanglement is the most important quantity in quantum information processing tasks. However the provision of the required entanglement between various quantum parts is one of the most challenging breakthroughs in realization of quantum processors. One of the scenarios for entangling various parts is use of naturally interacting qubits, called “spin chains”. The low level of required control and the ability of entangling mesoscopicaly separated parts cause such systems to be attractive for using in future low dimensional silicone compatible technology quantum processors. Accordingly in this thesis by considering a ferromagnetic spin system in which is conserved and by initializing the quantum state of some limited number of qubits in one particle regime the generated entanglement between each qubit pair is calculated for different times and through qualitative arguments we conclude that in axially symmetric interaction networks the achievable entanglement in equal stratum qubit pairs is rather larger than the generic case. To distinguish more proper systems, some algebraically rich subsets of axially symmetric systems where the entanglement can be optimized analytically is considered to be able to study the ability of Bell pairs generation in such systems. In this plan by use of invariant stratification graphs some axially symmetric interaction networks is identified in which the bell pairs can be generated but their corresponding interactions have not a known substantiation in nature. Subsequently, by confining this subset to association scheme graphs we encounter a rather richer algebra and we find the proper interaction has a well known substantiation
  9. Keywords:
  10. Entanglement ; Spin Chain ; Graphs ; Quantum Information Theory

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