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QI: Fachverband Quanteninformation

QI 12: Poster I

QI 12.11: Poster

Tuesday, March 19, 2024, 11:00–14:30, Poster B

Evaluating Ground State Energy with Low-Depth Quantum Circuit and High AccuracyShuo Sun1, Chandan Kumar2, Elvira Shishenina2, Edwin Knobbe2, and •Christian B. Mendl21Technical University of Munich, Munich, Germany — 2BMW Group, Munich, Germany

Solving electronic structure problems is widely recognized as one of the most promising applications of quantum computing. However, due to limitations imposed by the coherence time of qubits in the NISQ (Noisy Intermediate Scale Quantum) era, it’s vital to design algorithms with shallow circuits.

In this project, we develop a novel Variational Quantum Eigensolver (VQE) ansatz based on the Qubit Coupled Cluster (QCC) approach, which demands optimization over only n parameters rather than the usual n+2m parameters, where n represents the number of Pauli word time evolution gates eitP, and m is the number of qubits involved.

We evaluate the ground state energy of O3, Li4 and Cr2, using active space CAS(2,2), CAS(4,4) and CAS(6,6) in conjunction with the enhanced QCC ansatz, UCCSD (Unitary Coupled Cluster Single-Double) ansatz, or FCI (Full Configuration Interaction) method as the active space solver. Furthermore, we assess our enhanced QCC ansatz on two distinct quantum hardware platforms, one superconducting-based and one trapped-ion-based, and conclude with a gate count analysis on both setups.

Keywords: Variational Quantum Eigensolver; Chemical Systems; Quantum Computing

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