QubitESP.jl

State preparation of elementary symmetric polynomial (ESP) state. Algorithm implementation using the Yao.jl framework.

Introduction

ESP state is a generalization of Dicke state, where instead of all coefficients being the same, they have an ESP structure. Using fermion-qubit mapping, it can be shown that ESP is equivalent to a fermionic state known as antisymmetrized geminal power (AGP) in chemistry and number-projected Bardeen-Cooper-Schrieffer (PBCS) in physics.

References

1. Armin Khamoshi, Rishab Dutta, Gustavo E. Scuseria. State preparation of AGP on a quantum computer without number projection (preprint).

2. Andreas Bartschi, Stephen Eidenbenz. Deterministic preparation of Dicke states. Fundamentals of Computation Theory. 2019, Springer, Cham (preprint) (article).