Tensor-based quantum phase difference estimation for large-scale demonstration
成果类型：
Article
署名作者：
Kanno, Shu; Sugisaki, Kenji; Nakamura, Hajime; Yamauchi, Hiroshi; Sakuma, Rei; Kobayashi, Takao; Gao, Qi; Yamamoto, Naoki
署名单位：
Mitsubishi International Corporation (MIC); Mitsubishi Chemical Holdings Corporation; Mitsubishi Chemical; Keio University; Keio University; Keio University; SoftBank Corporation; JSR Corporation; Keio University
刊物名称：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
ISSN/ISSBN：
0027-15242
DOI：
10.1073/pnas.2425026122
发表日期：
2025-07-29
关键词：
摘要：
We develop an energy calculation algorithm leveraging quantum phase difference estimation (QPDE) scheme and a tensor-network-based unitary compression method in the preparation of superposition states and time-evolution gates. Alongside its efficient implementation, this algorithm reduces depolarization noise affections exponentially. We demonstrated energy gap calculations for one-dimensional Hubbard models on IBM superconducting devices using circuits up to 32-system (plus oneancilla) qubits, a five-fold increase over previous Quantum phase estimation (QPE) demonstrations, at the 7242 controlled-Z gate level of standard transpilation, utilizing a Q-CTRL error suppression module. Additionally, we propose a technique toward molecular executions using spatial orbital localization and index sorting, verified linear polyene simulations up to 21 qubits. Since QPDE can handle the same objectives as QPE, our algorithm represents a leap forward in quantum computing on real devices.