A Hybrid Qubit Encoding: Splitting Fock Space into Fermionic and Bosonic Subspaces

TL;DR

This paper introduces a hybrid qubit encoding method that splits Fock space into Fermionic and Bosonic subspaces, enhancing quantum chemistry simulations by combining the advantages of different encoding strategies.

Contribution

It proposes a novel hybrid encoding framework that optimally partitions Fock space into Fermionic and Bosonic parts for improved quantum simulation efficiency.

Findings

Enables flexible encoding tailored to molecular features

Reduces complexity of electronic operator mappings

Improves simulation accuracy and resource management

Abstract

Efficient encoding of electronic operators into qubits is essential for quantum chemistry simulations. The majority of methods map single electron states to qubits, effectively handling electron interactions. Alternatively, pairs of electrons can be represented as quasi-particles and encoded into qubits, significantly simplifying calculations. This work presents a hybrid encoding that allows splitting the Fock space into Fermionic and Bosonic subspaces. By leveraging the strengths of both approaches, we provide a flexible framework for optimizing quantum simulations based on molecular characteristics and hardware constraints.