Split-ring polariton condensates as macroscopic two-level quantum systems

Superposition states of circular currents of exciton-polaritons mimic the superconducting flux qubits. The phase of a polariton fluid must change by an integer number of 2 pi when going around the ring. If one introduces a pi-phase delay line in the ring, the fluid is obliged to propagate a clockwise or anticlockwise circular current to reduce the total phase gained over one round trip to zero or to build it up to 2 pi. We show that such a pi-delay line can be provided by a dark soliton pinned to a potential well created by a C-shape nonresonant pump spot. The resulting split-ring polariton condensates exhibit pronounced coherent oscillations passing periodically through clockwise and anticlockwise current states. These oscillations may persist far beyond the coherence time of polariton condensates. The qubits based on split-ring polariton condensates are expected to possess very high figures of merit that makes them a valuable alternative to superconducting qubits. The use of the dipole-polarized polaritons allows one to control coherently the state of the qubit with the external electric field. This is shown to be one of the tools for realization of single-qubit logic operations. We propose the design of an iSWAP gate based on a pair of coupled polariton qubits. To demonstrate the capacity of the polariton platform for quantum computations, we propose a protocol for the realization of Deutsch's algorithm with polariton qubit networks.

Automated summary

Superposition states of circular currents of exciton-polaritons mimic superconducting flux qubits. Phase of a polariton fluid must change by integer multiples of 2 pi around a ring, with the possibility of introducing a pi-phase delay line to control circular currents. This technology has the potential to be a valuable alternative to superconducting qubits, with the ability to perform single-qubit logic operations and design gates for quantum computations.