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Quantum simulations of electronic structure with transformed ab initio Hamiltonians that include some electron correlation effects a priori are demonstrated. The transcorrelated Hamiltonians used in this work are efficiently constructed classically, at polynomial cost, by an approximate similarity transformation with an explicitly correlated two-body unitary operator; they are Hermitian, include up to two-particle interactions, and are free of electron-electron singularities. To investigate whether the use of such transformed Hamiltonians can reduce resource requirements for general quantum solvers for the Schrodinger equation, we explore the accuracy and the computational cost of the quantum variational eigensolver, based on the unitary coupled cluster with singles and doubles (q-UCCSD). Our results demonstrate that transcorrelated Hamiltonians, paired with extremely compact bases, produce explicitly correlated energies comparable to those from much larger bases. The use of transcorrelated Hamiltonians reduces the number of CNOT gates by up to two orders of magnitude, and the number of qubits by a factor of three.
Proposals for near-term experiments in quantum chemistry on quantum computers leverage the ability to target a subset of degrees of freedom containing the essential quantum behavior, sometimes called the active space. This approximation allows one to
Quantum simulation of chemistry and materials is predicted to be an important application for both near-term and fault-tolerant quantum devices. However, at present, developing and studying algorithms for these problems can be difficult due to the pr
Electron transport in realistic physical and chemical systems often involves the non-trivial exchange of energy with a large environment, requiring the definition and treatment of open quantum systems. Because the time evolution of an open quantum sy
The Hartree-Fock problem provides the conceptual and mathematical underpinning of a large portion of quantum chemistry. As efforts in quantum technology aim to enhance computational chemistry algorithms, the fundamental Hartree-Fock problem is a natu
Development of quantum architectures during the last decade has inspired hybrid classical-quantum algorithms in physics and quantum chemistry that promise simulations of fermionic systems beyond the capability of modern classical computers, even befo