Multi-frequency modes in superconducting resonators: Bridging frequency gaps in off-resonant couplings
arXiv:1410.6644 · doi:10.1103/PhysRevA.91.023828
Abstract
A Superconducting Quantum Interference Device (SQUID) inserted in a superconducting waveguide resonator imposes current and voltage boundary conditions that makes it suitable as a tuning element for the resonator modes. If such a SQUID element is subject to a periodically varying magnetic flux, the resonator modes acquire frequency side bands. In this work we calculate the multi-frequency eigenmodes of resonators coupled to periodically driven SQUIDs and we use the Lagrange formalism to propose a theory for their quantization. The elementary excitations of a multi-frequency mode can couple resonantly to physical systems with different transition frequencies and this makes the resonator an efficient quantum bus for state transfer and coherent quantum operations in hybrid quantum systems. As an example of the application of our multi-frequency modes, we determine their coupling to transmon qubits with different frequencies and we present a bi-chromatic scheme for entanglement and gate operations.
8 pages, 5 figures
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Cited by in corpus (10)
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- Quantum information processing with superconducting circuits: a review
- A universal gate for fixed-frequency qubits via a tunable bus
- Charting the circuit QED design landscape using optimal control theory
- Optimized pulse shapes for a resonator-induced phase gate
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