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Quantum computational chemistry

This review presents strategies employed to construct quantum algorithms for quantum chemistry, with the goal that quantum computers will eventually answer presently inaccessible questions, for example, in transition metal catalysis or important biochemical reactions.
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OpenFermion: the electronic structure package for quantum computers

The key motivations behind design choices in OpenFermion are outlined and some basic OpenFermanion functionality is discussed which are believed to aid the community in the development of better quantum algorithms and tools for this exciting area of research.
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Variational ansatz-based quantum simulation of imaginary time evolution

This work proposes a variational algorithm that is hybrid, suitable for error mitigation and can exploit shallow quantum circuits, and can be implemented with current quantum computers, and uses it to find the ground-state energy of many-particle systems.
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Virtual Distillation for Quantum Error Mitigation

The effectiveness of virtual distillation is analyzed and it is found that it is governed in many regimes by the behaviour of this pure state (corresponding to the dominant eigenvector of $\rho$), and can improve the convergence of randomized quantum algorithms, even in the absence of device noise.
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Variational quantum algorithms for discovering Hamiltonian spectra

Calculating the energy spectrum of a quantum system is an important task, for example to analyse reaction rates in drug discovery and catalysis. There has been significant progress in developing…
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Digital quantum simulation of molecular vibrations

This work investigates how digital quantum computers may be used to calculate molecular vibrational properties, such as energy levels and spectral information, on the basis of discrete-time quantum mechanics.
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Error-Mitigated Digital Quantum Simulation.

A stabilizerlike method is proposed which enables the detection of up to 60%-80% of depolarizing errors and can significantly benefit calculations subject to both stochastic and correlated noise, especially when combined with existing error mitigation techniques.
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Observation of separated dynamics of charge and spin in the Fermi-Hubbard model

Strongly correlated quantum systems give rise to many exotic physical phenomena, including high-temperature superconductivity. Simulating these systems on quantum computers may avoid the…
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Variational quantum simulation of imaginary time evolution

This work proposes a hybrid, variational algorithm, suitable for error mitigation, and can exploit shallow quantum circuits, that can be implemented with current quantum computers and used to find the ground state energy of many-particle systems.

Error Mitigation via Verified Phase Estimation

This paper presents a new error mitigation technique based on quantum phase estimation that can also reduce errors in expectation value estimation and demonstrates the estimation of expectation values on numerical simulations of intermediate scale quantum circuits with multiple orders of magnitude improvement over unmitigated estimation at near-term error rates.
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