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Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance
Tomislav Begušić, Johnnie Gray, Garnet Kin-Lic Chan
A recent quantum simulation of observables of the kicked Ising model on 127 qubits implemented circuits that exceed the capabilities of exact classical simulation. We show that sev…
Adiabatic quantum imaginary time evolution
Kasra Hejazi, Mario Motta, Garnet Kin-Lic Chan
We introduce an adiabatic state preparation protocol which implements quantum imaginary time evolution under the Hamiltonian of the system. Unlike the original quantum imaginary ti…
Simulating quantum circuit expectation values by Clifford perturbation theory
Tomislav Begušić, Kasra Hejazi, Garnet Kin-Lic Chan
The classical simulation of quantum circuits is of central importance for benchmarking near-term quantum devices. The fact that gates belonging to the Clifford group can be simulat…
Fast classical simulation of evidence for the utility of quantum computing before fault tolerance
Tomislav Begušić, Garnet Kin-Lic Chan
We show that a classical algorithm based on sparse Pauli dynamics can efficiently simulate quantum circuits studied in a recent experiment on 127 qubits of IBM's Eagle processor [N…
Fermionic reduced density low-rank matrix completion, noise filtering, and measurement reduction in quantum simulations
Linqing Peng, Xing Zhang, Garnet Kin-Lic Chan
Fermionic reduced density matrices summarize the key observables in fermionic systems. In electronic systems, the two-particle reduced density matrix (2-RDM) is sufficient to deter…
Hierarchical Clifford transformations to reduce entanglement in quantum chemistry wavefunctions
Ryan V. Mishmash, Tanvi P. Gujarati, Mario Motta +3
The performance of computational methods for many-body physics and chemistry is strongly dependent on the choice of basis used to cast the problem; hence, the search for better bas…