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Perfect State Transfer in Two & Three Dimensional Structures

Sarmadi Rad, Mahdi | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43205 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Karimipour, Vahid
  7. Abstract:
  8. Since the inception of the fields of quantum information and computation, the task of coherently transferring quantum states, through long and short distances has been of utmost importance. While photons are the ideal carriers of quantum information over long distances, it has become evident that the best possible method for transferring quantum information over short distances, i.e. through regular arrays of qubits, is to exploit the natural dynamics of the many body system. This idea was first introduced in the work of Bose [2] who showed that the natural dynamics of a Heisenberg ferromagnetic chain can achieve high-fidelity transfer of spin states over distances as long as 80 lattice units. This has led to an active view in the study of dynamics of many body systems, traditionally studied in condensed matter physics from a passive point of view. For example it is tried to engineer the couplings in such a way that the natural dynamics of a spin chain achieve state transfer with perfect or with arbitrary high fidelity. In some protocols the natural evolution is interrupted by some minimal control to achieve this task. Our goal in this thesis is to inspect some protocols introduced for quantum state transfer and to introduce a new scheme for perfect state transfer in two and three dimensional tructures
  9. Keywords:
  10. Quantum Information Theory ; Spin Chain ; Quantum Transport ; Perfect Quantum State Transfer

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