Arbitrary high-fidelity binomial codes from multiphoton spin-boson interactions

TL;DR

This paper introduces a method to generate arbitrary high-fidelity binomial quantum error correction codes using multiphoton interactions between a bosonic mode and a two-level system, enhancing quantum information protection.

Contribution

It proposes a scheme leveraging nonlinear multiphoton interactions to efficiently generate binomial codewords, with reduced interaction order for certain states.

Findings

Scheme enables arbitrary binomial codeword generation

Reduces multiphoton interaction order by a factor of two for specific states

Enhances feasibility of bosonic quantum error correction implementations

Abstract

Encoding a qubit in the continuous degrees of freedom of a quantum system, such as bosonic modes, is a powerful alternative to modern quantum error correction (QEC). Among the most prominent bosonic QEC codes, binomial codes provide protection against loss and dephasing errors by encoding logical states in superpositions of Fock states with binomially weighted coefficients. While much attention has been given to their error-correcting capabilities and integration into fault-tolerant architectures, efficient methods for generating arbitrary binomial codewords remain scarce. In this work, we propose a scheme for generating these codewords by exploiting nonlinear multiphoton interactions between a continuous-variable bosonic mode (oscillator) and a two-level system (spin/qubit). Our proposed scheme assumes the ability to prepare the oscillator in an arbitrary Fock state and the qubit in an arbitrary superposition of its basis states and access to arbitrarily high multiphoton interactions. To enhance the experimental feasibility of our scheme, we further demonstrate how to reduce the required order parameter of multiphoton interactions by a factor of two for a special class of code states.