Hardware-Efficient Bosonic Quantum Computing with Detection Capability of Single Photon Loss

This is the authors' abstract. We don't add key points for this paper.

Bosonic systems, which have large internal degrees of freedom, offer the potential to create quantum bits with error detection and error correction capabilities. This property is particularly advantageous for near-term quantum computers, where the number of qubits is severely constrained. However, there is still room for improvement in terms of hardware efficiency. They still entail the use of ancillary qubits for various state manipulations, including gate operations. Additionally, complex operations are often required to perform a number of operations. Here, we propose a method to use Kerr non-linear resonators for near-term bosonic quantum computation with the capability of detecting single-photon loss, which requires simple pulse operations without ancillary qubits. By adopting the $02$ code, and we can perform the X rotation, Z rotation, and controlled-phase gate for logical qubits. Our results pave the way for practical bosonic quantum computation.