Hartree-Fock on a superconducting qubit quantum computer

Abstract

As the search continues for useful applications of noisy intermediate scale quantum devices, variational simulations of fermionic systems remain one of the most promising directions. Here, we perform a series of quantum simulations of chemistry the largest of which involved a dozen qubits, 78 two-qubit gates, and 114 one-qubit gates. We model the binding energy of ${\mathrm{H}}_6$, ${\mathrm{H}}_8$, ${\mathrm{H}}_{10}$ and ${\mathrm{H}}_{12}$ chains as well as the isomerization of diazene. We also demonstrate error-mitigation strategies based on $N$-representability which dramatically improve the effective fidelity of our experiments. Our parameterized ansatz circuits realize the Givens rotation approach to non-interacting fermion evolution, which we variationally optimize to prepare the Hartree-Fock wavefunction. This ubiquitous algorithmic primitive corresponds to a rotation of the orbital basis and is required by many proposals for correlated simulations of molecules and Hubbard models. Because non-interacting fermion evolutions are classically tractable to simulate, yet still generate highly entangled states over the computational basis, we use these experiments to benchmark the performance of our hardware while establishing a foundation for scaling up more complex correlated quantum simulations of chemistry.

updated link to experiment code, new version containing expanded data sets and corrected figure label

References in corpus (27)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• A variational eigenvalue solver on a quantum processor
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Simulated Quantum Computation of Molecular Energies
• Error mitigation for short-depth quantum circuits
• An adaptive variational algorithm for exact molecular simulations on a quantum computer
• Extending the computational reach of a noisy superconducting quantum processor
• Scalable Quantum Simulation of Molecular Energies
• Robust determination of molecular spectra on a quantum processor
• Quantum chemistry calculations on a trapped-ion quantum simulator
• Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Fluctuations of Energy-Relaxation Times in Superconducting Qubits
• Solving strongly correlated electron models on a quantum computer
• Low Depth Quantum Simulation of Electronic Structure
• Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods
• Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization
• Multireference Correlation in Long Molecules with the Quadratic Scaling Density Matrix Renormalization Group
• Increasing the representation accuracy of quantum simulations of chemistry without extra quantum resources
• Quantum algorithms to simulate many-body physics of correlated fermions
• Application of fermionic marginal constraints to hybrid quantum algorithms
• Error Mitigation by Symmetry Verification on a Variational Quantum Eigensolver
• Quantum Simulation of Chemistry with Sublinear Scaling in Basis Size
• Quantum-classical hybrid algorithm using an error-mitigating $N$-representability condition to compute the Mott metal-insulator transition
• Decomposition of Unitary Matrices for Finding Quantum Circuits: Application to Molecular Hamiltonians
• Fidelity witnesses for fermionic quantum simulations
• Hybrid grid/basis set discretizations of the Schrödinger equation

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