Noisy intermediate-scale quantum (NISQ) hardware is typically limited to low-depth quantum circuits to limit the number of opportunities for introduction of error by unreliable quantum gates. A less-explored alternative approach is to repeatedly apply a quantum channel with a desired quantum state as a stable fixed point. Increased circuit depth can in this case be beneficial rather than harmful due to dissipative self-correction. The quantum channels constructed from MERA circuits can be interpreted in terms of the renormalization group(RG), and their fixed points are RG fixed points, i.e. scale-invariant systems such as conformal field theories. Here, building upon the theoretical proposal of Kim and Swingle, we numerically and experimentally study the robust preparation of the ground state of the critical Ising model using circuits adapted from the work of Evenbly and White. The experimental implementation exhibits self-correction through renormalization seen in the convergence and stability of local observables, and makes essential use of the ability to measure and reset individual qubits afforded by the "quantum CCD" architecture of the Honeywell ion-trap. We also numerically test error mitigation by zero-noise extrapolation schemes specially adapted for renormalization circuits, which are able to outperform typical extrapolation schemes using lower gate overhead.
Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
Escuela de Ciencias, Ingeniería y Diseño, Universidad Europea de Valencia(瓦伦西亚欧洲大学科学与工程教育学院);Instituto de Física Corpuscular, Universitat de València – Consejo Superior de Investigaciones Científicas(瓦伦西亚大学-西班牙国家研究理事会粒子物理研究所);Facultat de Física, Universitat de València(瓦伦西亚大学物理学院)
Resource-Efficient Hadamard Test Tailored Variational Framework for Nonlinear Dynamics on Quantum Computers
Technical University of Crete(克里特理工大学);National University of Singapore(新加坡国立大学);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心);Alpine Quantum Technologies GmbH(阿尔卑斯量子技术有限责任公司);AngelQ Quantum Computing(AngelQ量子计算)
Utility-Scale Quantum State Preparation: Classical Training using Pauli Path Simulation
BlueQubit Inc.(BlueQubit公司);Joint Center for Quantum Information and Computer Science, NIST/University of Maryland(量子信息与计算科学联合中心,美国国家标准与技术研究院/马里兰大学);Joint Quantum Institute, NIST/University of Maryland(量子联合研究所,美国国家标准与技术研究院/马里兰大学)
Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
University of Cologne(科隆大学);University of Geneva(日内瓦大学);University of California, Santa Barbara(加州大学圣塔芭芭拉分校);The Hong Kong University of Science and Technology (Guangzhou)(香港科技大学(广州))
A Recursive Module-Coupling Algorithm for Computing Low-Energy Eigenstates
National University of Singapore(新加坡国立大学);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心);Institute of Advanced Intelligence and Computing (IAIC), Agency for Science, Technology and Research (A*STAR)(新加坡科技研究局高级智能与计算研究所);Bioinformatics Institute, Agency for Science, Technology and Research (A*STAR)(新加坡科技研究局生物信息学研究所)