2021/09/30 by Abhinav Anand, Philipp Schleich, Sumner Alperin-Lea +9 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Ansatz #Artificial intelligence #Cluster (spacecraft) #Computer science #Context (archaeology) #Coupled cluster #Field (mathematics) #Mathematics #Perspective (graphical) #Physics #Programming language #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum computer #Quantum many-body systems #Quantum mechanics #Theoretical computer science #Theoretical physics #Unitary state #physics.chem-ph #quant-ph
paper · pdf · doi:10.1039/d1cs00932j
published in Chemical Society Reviews 51(5), 1659-1684 (Royal Society of Chemistry)
openalex publication_date 2022/01/01 · arxiv created 2022/03/03 · arxiv updated 2022/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze which are used to variationally solve the electronic structure problem on quantum computers. A brief history of coupled cluster (CC) methods is provided, followed by a broad discussion of the formulation of CC theory. This includes touching on the merits and difficulties of the method and several variants, UCC among them, in the classical context, to motivate their applications on quantum computers. In the core of the text, the UCC ansatz and its implementation on a quantum computer are discussed at length, in addition to a discussion on several derived and related ansätze specific to quantum computing. The review concludes with a unified perspective on the discussed ansätze, attempting to bring them under a common framework, as well as with a reflection upon open problems within the field.