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Capacitively Coupled Charge Qubits: Difference between revisions
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Capacitively Coupled Charge Qubits (view source)
Revision as of 01:33, 26 October 2014
, 26 October 2014→Second Order Detuning Noise
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</math>
The second order terms cannot be tuned such that all gaps are invariant to second order noise. However, <math>g</math> can be tuned such that some of the transitions become invariant to some of the second order detuning shifts. To make the transition between <math>|01\rangle</math> and <math>|10\rangle</math> flat with respect to second order fluctuations in <math>\epsilon_1</math>, we can set
<math>
g^2 = \Delta_2(\Delta_1+\Delta_2)
</math>
Similarly, to make the transitions between <math>|00\rangle</math> and <math>|01\rangle</math> and between <math>|10\rangle</math> and <math>|11\rangle</math> flat to second order in <math>\epsilon_1</math>, we can set
<math>
g^2 = (\Delta_1+\Delta_2)\sqrt{(\Delta_1+\Delta_2)(\Delta_1^3-\Delta_1^2\Delta_2+3\Delta_1\Delta_2^2+\Delta_2^3)}-\Delta_1^3-\Delta_1^2\Delta_2-\Delta_1\Delta_2^2-\Delta_2^3
</math>
===Tunnel Coupling and Capacitive Coupling Noise===
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