Holonomic Quantum Computation with All-Resonant Control in Circuit Quantum Electrodynamics
Zheng‐Yuan Xue, Jian Zhou, Yong Hu · arXiv (Cornell University) · 2016
The implementation of holonomic quantum computation in superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multi-level systems. In this Letter, we solve this problem by proposing a scalable circuit QED lattice with simple realization of the universal set of non-adiabatic holonomic quantum computation. Compared with existed proposals, here we can achieve both the single- and two- logical qubit gates in an unprecedented tunable and all-resonant way through a hybrid transmon-transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Our scheme therefore paves a promising way towards the realization of high fidelity universal holonomic quantum computation.