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Capacitively Coupled Charge Qubits: Difference between revisions
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Capacitively Coupled Charge Qubits (view source)
Revision as of 23:05, 3 November 2014
, 3 November 2014→Notes on Logical Operating Points
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===Notes on Logical Operating Points===
Here we discuss the values of <math>A_1</math>, <math>A_2</math>, <math>C_1</math>, and <math>C_2</math>. Analytical expressions can and have been found for these quantities, but they yield little intuition about their nature.
[[File:Rotation coeffs.png|border|600px]]
Above is a graph of the 4 values as a function of <math>\Delta_1</math>. If we wish to consider the regime in which <math>\Delta_1>\Delta_2</math> as above, we should consider the part of the graph to the right of the black dotted line.
A few qualitative statements can be made about the logical gates based off of this graph. First, it is clear that the <math>X_2</math> gate will always be faster than the <math>X_1</math> gate. A feature of concern is the behavior of <math>C_2</math>, namely that it tends towards zero, as this increases the time for the <math>\text{CNOT}_2</math> gate.
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