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Capacitively Coupled Charge Qubits: Difference between revisions
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Capacitively Coupled Charge Qubits (view source)
Revision as of 15:43, 26 October 2014
, 26 October 2014→Tunnel Coupling and Capacitive Coupling Noise
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|<math>|11\rangle</math> || <math>\sqrt{(\Delta_1+\Delta_2)^2 + g^2}</math> || <math>\frac{(\Delta_1+\Delta_2)}{\sqrt{(\Delta_1+\Delta_2)^2 + g^2}}\delta\Delta_1</math> || <math>\frac{g}{\sqrt{(\Delta_1+\Delta_2)^2 + g^2}}\delta g</math>
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Note that if we want any of the transitions to be invariant to first-order fluctuations in tunnel coupling, we would need to set <math>\Delta_1 = \Delta_2</math> or set either <math>\Delta_1</math> or <math>\Delta_2</math> to zero. Any of these changes however would make the energy levels degenerate, which must be avoided. The conclusion therefore is that we cannot make the transitions invariant to first-order fluctuations in tunnel coupling.
Similarly, there is nothing we can do short of making the energy levels degenerate to make the transitions invariant with respect to first-order fluctuations in capacitive coupling. We could, however, make the coupling itself as stable as possible through manipulating the geometry of the system.
==Rotations==
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