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Quantum Holonomic Gate based on the Optomechanical System

Rasa, Mohsen | 2020

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 53448 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Bahrampour, Alireza
  7. Abstract:
  8. Circuit model quantum computing, provides a powerful tool that allows humans to process information faster. Excessive noise and its impact on quantum systems which can lead to data loss are major obstacls in accessing quantum computers, since the systems proposed to make quantum computers are indeed open systems, noise can cause data loss. Therefore, the achievement of quantum computing, has been delayd. One of the most effective ways to neutralize this noise is to use a geometric phase to make evolutions. Holonomic quantum gates utilize the geometric phase to implement the noise resilience gate. In this thesis, we intend to use a composite optomechanical system, consisting of two optical cavities and two mechanical oscillators to build a quantum gate, that is able to perform calculations based on both photonic and phononic qubits. Achieving this system makes it possible to choose the type of computational basis, photonic or phononic ones arbitrary without any physical modification in the system structure.For this purpose, first different types of geometric phases is introduced, and then the non-abelin geometric phase that appeared in a non-adiabatic transformation is presented. Also since our proposed model for a Holonomic quantum gate is a four-component optomechanical system, we review a twocomponent optomechanical system in which there is a coupling between mechanical and optical cavity mode, Then a model that utilizes a three-component optomechanical system which consists of two optical cavities and one mechanical oscilator to build a Holonomic quantum gate. is introduced We conclude the thesis by considering the intraction between the proposed system and its surrounding enviroment through the Qutip software by solving the Lidndblad equations numerically.
  9. Keywords:
  10. Geometric Phase ; Quantum Computation ; Optomechanics ; Optomechanical Coupling ; Holonomic Quantum Gate ; Quantum Gate

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