Protocol for Efficient Generation of Fusion-Based Quantum Computing Resource States from Quantum Emitters

TL;DR

This paper presents a symmetry-based approach to optimize the deterministic generation of photonic resource states for fusion-based quantum computing, significantly reducing the number of emitters and gates needed.

Contribution

It introduces a symmetry exploitation method that simplifies the complex optimization problem in generating FBQC resource states from minimal quantum emitters.

Findings

24-photon resource states can be generated with only 3 emitters and 11 CNOT gates.

Symmetry considerations greatly reduce the complexity of the optimization problem.

The approach improves the efficiency of resource state generation in FBQC.

Abstract

Fusion-based quantum computing (FBQC) relies on a set of small, typically photonic, resource states that are fused together through Bell state measurements. The main bottleneck of FBQC is the low rate of generating the resource states, which stems from the probabilistic nature of photonic fusion gates. Previous work introduced a general algorithm for constructing circuits that deterministically generate photonic resource states from a minimal number of quantum emitters for a specified photon emission ordering. However, finding the minimal number of emitters and CNOT gates across all possible orderings is an NP-hard problem. Here, we exploit the symmetries present in FBQC resource states to dramatically simplify this optimization problem. We find that logically encoded 24-photon FBQC resource states can be produced using as few as 3 emitters and 11 CNOTs.