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.Cavity
Class describing cavities in superconducting systems.
superconducting.TransmonCavityInteraction
Class describing interactions between a transmon and a cavity.
superconducting.TransmonTransmonInteraction
Class 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.