Variational post-selection for ground states and thermal states simulation
arXiv:2402.07605 · doi:10.1088/2058-9565/ad8fca
Abstract
Variational quantum algorithms (VQAs), as one of the most promising routes in the noisy intermediate-scale quantum (NISQ) era, offer various potential applications while also confront severe challenges due to near-term quantum hardware restrictions. In this work, we propose a framework to enhance the expressiveness of variational quantum ansatz by incorporating variational post-selection techniques. These techniques apply variational modules and neural network post-processing on ancilla qubits, which are compatible with the current generation of quantum devices. Equipped with variational post-selection, we demonstrate that the accuracy of the variational ground state and thermal state preparation for both quantum spin and molecule systems is substantially improved. Notably, in the case of estimating the local properties of a thermalized quantum system, we present a scalable approach that outperforms previous methods through the combination of neural post-selection and a new optimization objective.
6 pages, 8 figures + supplemental materials
References in corpus (20)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum computational advantage using photons
- Quantum Error Mitigation
- Hybrid quantum-classical algorithms and quantum error mitigation
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Postselection-free entanglement dynamics via spacetime duality
- Quantum Hamiltonian-Based Models and the Variational Quantum Thermalizer Algorithm
- A Variational Quantum Algorithm for Preparing Quantum Gibbs States
- Probing post-measurement entanglement without post-selection
- Thermal State Preparation via Rounding Promises
- Universal KPZ scaling in noisy hybrid quantum circuits
- Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
- Noise-induced phase transitions in hybrid quantum circuits
- Training variational quantum algorithms with random gate activation
- Neural network encoded variational quantum algorithms
- Quantum Thermal State Preparation
- Adaptive variational algorithms for quantum Gibbs state preparation
- Critical behavior of Ising model by preparing thermal state on quantum computer
- Thermal Multi-scale Entanglement Renormalization Ansatz for Variational Gibbs State Preparation