Qubit-Coupled Mechanics - IFSC
Qubit-Coupled Mechanics - IFSC
Qubit-Coupled Mechanics - IFSC
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Schematic of Coupling Between a Cooper-Pair Box<br />
(CPB) Charge <strong>Qubit</strong> and Nanoresonator<br />
Flexural motion of resonator modulates CPB electrostatic energy<br />
Pauli Matrices<br />
V NR<br />
d<br />
CPB <strong>Qubit</strong><br />
B<br />
J. Junctions<br />
V g<br />
σ z = 1 0<br />
0 −1<br />
nanoresonator<br />
Aluminum<br />
C NR<br />
N or N+1<br />
Charges<br />
(Cooper-Pairs)<br />
Silicon Nitride<br />
σ x = 0 1<br />
1 0<br />
Full Hamiltonian<br />
Interaction strength<br />
H = E ee V g σ z<br />
CPB<br />
electrostatic<br />
Energy<br />
+ E J B σ x + ħω a † a + 1 + ħλ(a † + a) ∙ σ<br />
2<br />
z<br />
CPB<br />
Josephson<br />
Energy<br />
NR<br />
displacement<br />
CPB<br />
charge
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