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

## TL;DR

This paper proposes a novel polariton-based qubit system using split-ring condensates with a $ ext{π}$-phase delay line, demonstrating potential for quantum computing with high figures of merit and controllable states.

## Contribution

Introduction of split-ring polariton condensates with a $ ext{π}$-phase delay line as macroscopic two-level quantum systems, including design for quantum gates and algorithms.

## Key findings

- Split-ring polariton condensates exhibit coherent oscillations between current states.
- The system can be controlled via external electric fields.
- Proposed implementation of quantum gates and algorithms using polariton qubits.

## Abstract

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 non-resonant 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 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 $i$SWAP 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 the Deutsch's algorithm with polariton qubit networks.