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Optimal Coherent Control of Quantum Dynamics: Process-Based Approach

Rezvani, Vahid | 2021

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 54629 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Rezakhani, Ali
  7. Abstract:
  8. One of the main tools of the developing quantum technology is making the desired quantum gates and processes in the presence of the environmental noises. In this thesis, we first derive a Markovian master equation which defines purely the time evolution of the dynamics (process matrix) of the open system rather than its state (density matrix). This master equation indeed describes the time evolution of the Choi-Jamiolkowsli matrix which is independent of the state of the system at all times including the initial state. The n, by using this master equation we provide a scheme to manipulate optimally and locally the dynamics of the open system by external coherent agents. Such scheme can lead to a deeper and more direct view for the dynamical manipulation of a system than its state in the quantum dynamical simulation. In this scheme, the whole constraints on the dynamics of the system quantify by a suitable figure-of-merit based on the dynamics (not based on the state) and measurable in the lab. To solve the dynamical control problem, we extend an effective and efficient optimization method, i.e., Krotov method, which includes the wide range of the problems such as the instantaneous dynamical control as well as the full control of the dynamics in a specific time interval. As an application of this scheme , we use it to study the quantum gates simulation, decoherence suppression and reservoir engineering for an ion Rydberg subject to some typical decoherence channels
  9. Keywords:
  10. Open Quantum System ; Optimization Problems ; Quantum Channel ; Reservoir Engineering ; Process Matrix ; Dynamical Master Equation ; Decoherence Suppression

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