Quantum simulations of molecular systems with intrinsic atomic orbitals
arXiv:2011.08137 · doi:10.1103/PhysRevA.106.022404
Abstract
Quantum simulations of molecular systems on quantum computers often employ minimal basis sets of Gaussian orbitals. In comparison with more realistic basis sets, quantum simulations employing minimal basis sets require fewer qubits and quantum gates, but yield results of lower accuracy. A natural strategy to achieve more accurate results is to increase the basis set size, which in turn requires increasing the number of qubits and quantum gates. Here we explore the use of intrinsic atomic orbitals (IAOs) in quantum simulations of molecules, to improve the accuracy of energies and properties at the same computational cost required by a minimal basis. We investigate ground-state energies and one- and two-body density operators in the framework of the variational quantum eigensolver, employing and comparing different Ansätze. We also demonstrate the use of this approach in the calculation of ground- and excited-states energies of small molecules by a combination of quantum algorithms, using IBM Quantum computers.
arXiv comment14 pages, 14 figures. Published in Physical Review A
References in corpus (48)
- A variational eigenvalue solver on a quantum processor
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Quantum Simulation
- The theory of variational hybrid quantum-classical algorithms
- Quantum computational chemistry
- Quantum Chemistry in the Age of Quantum Computing
- Error mitigation for short-depth quantum circuits
- Recent developments in the PySCF program package
- Intrinsic atomic orbitals: An unbiased bridge between quantum theory and chemical concepts
- Fermionic quantum computation
- Extending the computational reach of a noisy superconducting quantum processor
- Scalable Quantum Simulation of Molecular Energies
- Quantum algorithms for quantum chemistry and quantum materials science
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Efficient variational quantum simulator incorporating active error minimisation
- The Bravyi-Kitaev transformation for quantum computation of electronic structure
- Optimal Quantum Circuits for General Two-Qubit Gates
- Optimal Creation of Entanglement Using a Two--Qubit Gate
- Quantum algorithms for electronic structure calculations: particle/hole Hamiltonian and optimized wavefunction expansions
- Mitigating measurement errors in multi-qubit experiments
- Automated Selection of Active Orbital Spaces
- Self-Consistent Quantum Process Tomography
- Scalable mitigation of measurement errors on quantum computers
- Error-mitigated digital quantum simulation
- Automated construction of molecular active spaces from atomic valence orbitals
- Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor
- Tapering off qubits to simulate fermionic Hamiltonians
- Increasing the representation accuracy of quantum simulations of chemistry without extra quantum resources
- Doubling the size of quantum simulators by entanglement forging
- Reducing qubit requirements for quantum simulation using molecular point group symmetries
- Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution
- Hardware Efficient Quantum Algorithms for Vibrational Structure Calculations
- Experimental demonstration of quantum state tomography and qubit-qubit interactions for rare-earth-ion based solid state qubits
- Implementation of quantum imaginary-time evolution method on NISQ devices: Nonlocal approximation
- Introduction to Quantum Gate Set Tomography
- Efficient step-merged quantum imaginary time evolution algorithm for quantum chemistry
- Quantum simulation of electronic structure with a transcorrelated Hamiltonian: improved accuracy with a smaller footprint on the quantum computer
- Quantum Chemistry Simulations of Dominant Products in Lithium-Sulfur Batteries
- Computational Investigations of the Lithium Superoxide Dimer Rearrangement on Noisy Quantum Devices
- Applications of Quantum Computing for Investigations of Electronic Transitions in Phenylsulfonyl-carbazole TADF Emitters
- Quantum computation of magnon spectra
- Reducing qubit requirements while maintaining numerical precision for the Variational Quantum Eigensolver: A Basis-Set-Free Approach
- Generalization of intrinsic orbitals to Kramers-paired quaternion spinors, molecular fragments and valence virtual spinors
- Pure State Tomography with Pauli Measurements
- Scattering in the Ising Model Using Quantum Lanczos Algorithm
- Quantum circuits for the preparation of spin eigenfunctions on quantum computers
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