Computer systems and methods for computing the ground state of a Fermi-Hubbard Hamiltonian
AssigneeZapata Computing, Inc.
InventorsPierre-Luc Dallaire-Demers, Yudong Cao, Amara Katabarwa, Jerome Florian Gonthier, Peter D. Johnson
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Abstract
A quantum computer or a hybrid quantum-classical (HQC) computer leverages the power of noisy intermediate-scale quantum (NISQ) superconducting quantum processors at and/or beyond the supremacy regime to evaluate the ground state energy of an electronic structure Hamiltonian.
Claims20
A method for executing a Fermi-Hubbard ansatz on a quantum computer, the quantum computer including a plurality of qubits, the method comprising:
- (A) Executing the Fermi-Hubbard ansatz by applying, on the quantum computer, a variational circuit on a plurality P of subsets S of the plurality of qubits, each of the plurality of subsets comprising at least two qubits, wherein executing the circuit comprises, for each subset S:
- (A)(1) applying a first set of parametrized single qubit gates to each qubit in the subset S;
- and
- (A)(2) applying a transverse interaction and a variational longitudinal interaction on the subset S.
A system comprising a non-transitory computer-readable medium having computer program instructions stored thereon, the computer program instructions being executable by at least one processor in a classical computer to control a quantum computer to perform a method for executing a Fermi-Hubbard ansatz, the quantum computer including a plurality of qubits, the method comprising:
- (A) executing the Fermi-Hubbard ansatz by applying, on the quantum computer, a variational circuit on a plurality P of subsets S of the plurality of qubits, each of the plurality of subsets comprising at least two qubits, wherein executing the circuit comprises, for each subset S, at the quantum computer:
- (A)(1) applying a first set of parametrized single qubit gates to each qubit in the subset S;
- and
- (A)(2) applying a transverse interaction and a variational longitudinal interaction on the subset S.
Dependencies are inferred from the claim text.