Transmon
The Boulder Opal Toolkits are currently in beta phase of development. Breaking changes may be introduced.
- class Transmon(dimension, frequency=None, anharmonicity=None, drive=None, name='transmon')
Class that stores all the physical system data for a transmon.
- Parameters:
dimension (int) – Number of dimensions of the Hilbert space of the transmon. Must be at least 2.
frequency (real or np.ndarray or RealOptimizableSignal or RealOptimizableConstant, optional) – The frequency of the transmon, \(\omega_t\). If not provided, it defaults to no frequency term.
anharmonicity (real or np.ndarray or RealOptimizableSignal or RealOptimizableConstant, optional) – The nonlinearity of the transmon, \(\alpha\). If not provided, it defaults to no anharmonicity term.
drive (real or complex or np.ndarray or RealOptimizableSignal or RealOptimizableConstant or ComplexOptimizableSignal or ComplexOptimizableConstant, optional) – The complex drive of the transmon, \(\gamma_t\). If not provided, it defaults to no drive term.
name (str, optional) – The identifier of the transmon that is used to link interaction terms to this transmon. Defaults to “transmon”.
See also
superconducting.CavityClass describing cavities in superconducting systems.
superconducting.TransmonCavityInteractionClass describing interactions between a transmon and a cavity.
superconducting.TransmonTransmonInteractionClass describing interactions between two transmons.
Notes
The Hamiltonian for the transmon is defined as
\[H_\mathrm{transmon} = \omega_t b^\dagger b + \frac{\alpha}{2} (b^\dagger)^2 b^2 + \frac{1}{2} \left(\gamma_t b^\dagger + H.c. \right) ,\]where \(H.c.\) indicates the Hermitian conjugate. All coefficients in the Hamiltonian are optional, and you should only pass those relevant to your system.