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We have seen that to design a two-qubit gate, two transmon q…
We have seen that to design a two-qubit gate, two transmon qubits are capacitively coupled giving rise to a transverse coupling between the two transmon qubits. When on-resonance, the Hamiltonian of this interaction in the rotating wave approximation is given by H=g{“version”:”1.1″,”math”:”\(H = g \)”}. What is the final state of the two qubits starting from the initial state is |10⟩{“version”:”1.1″,”math”:”\(\vert 1 0 \rangle\)”} when the time duration for which the transmons are in-resonance is t=π/(4g){“version”:”1.1″,”math”:”\(t=\pi/(4g)\)”}?
We have seen that to design a two-qubit gate, two transmon q…
Questions
We hаve seen thаt tо design а twо-qubit gate, twо transmon qubits are capacitively coupled giving rise to a transverse coupling between the two transmon qubits. When on-resonance, the Hamiltonian of this interaction in the rotating wave approximation is given by H=g[σ−σ++σ+σ−]{"version":"1.1","math":"(H = g [sigma_- sigma_+ + sigma_+ sigma_-])"}. What is the final state of the two qubits [up to an overall phase] starting from the initial state is |10⟩{"version":"1.1","math":"(vert 1 0 rangle)"} when the time duration for which the transmons are in-resonance is t=π/(4g){"version":"1.1","math":"(t=pi/(4g))"}?
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