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2 Qubits : Coupled pair of DQD

2 Qubits : Coupled pair of DQD. Physical system and effective Hamiltonian. Electrostatic coupling between DQD1 and DQD2. Computational basis and operators. Basis :. Operators : ,. New Basis :. Definitive computational basis. with. General Hamiltonian. With. Ground State.

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2 Qubits : Coupled pair of DQD

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  1. 2 Qubits: Coupledpairof DQD

  2. Physical system and effective Hamiltonian Electrostatic coupling between DQD1 and DQD2

  3. Computational basis and operators Basis: Operators: , NewBasis:

  4. Definitivecomputationalbasis with

  5. General Hamiltonian • With

  6. Ground State Resonances CROT CROT

  7. First Excited State Levels are resonant at values given by and lines.

  8. Quantum Logic OperationsCROT First order process = a single electron tunnels

  9. Quantum Logic OperationsSWAP, FLIP 2nd. Order= simultaneous tunneling

  10. Experimental steps • Initialization at • if • if • are controled by gates voltages. • coherent evolution time. • Independent measurement of each DQD sub-systems

  11. Results: coherentoscilations CROT operations • Dampedoscilationsbetween |LR> and |RR> (Fig.a) and |LL> and |RL> (Fig.b). • Initialization • |LR> at • |LL> at

  12. Results: coherentoscilations CROT operations • Dampedoscilationsbetween |LR> and |RR> (Fig.a) and |LL> and |RL> (Fig.b). • Initialization • |LR> at • |LL> at tp=0.25ns

  13. Results: coherentoscilations CROT operations tp=0.25ns

  14. Results: Secondorderprocess Next slide

  15. Results: Secondorderprocess NumericalSimulations Firstorderprocess

  16. How to prove there is a correlated dynamics?

  17. How to prove there is a correlated dynamics?

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