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Ordering of Trotterization: Impact on Errors in Quantum Simulation of Electronic Structure
Andrew Tranter, Peter J. Love, Florian Mintert +2
Trotter-Suzuki decompositions are frequently used in the quantum simulation of quantum chemistry. They transform the evolution operator into a form implementable on a quantum devic…
Autonomous tuning and charge state detection of gate defined quantum dots
J. Darulová, S. J. Pauka, N. Wiebe +5
Defining quantum dots in semiconductor based heterostructures is an essential step in initializing solid-state qubits. With growing device complexity and increasing number of funct…
A Theory of Trotter Error
Andrew M. Childs, Yuan Su, Minh C. Tran +2
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators. Despite significant effort…
Phase estimation with randomized Hamiltonians
Ian D. Kivlichan, Christopher E. Granade, Nathan Wiebe
Iterative phase estimation has long been used in quantum computing to estimate Hamiltonian eigenvalues. This is done by applying many repetitions of the same fundamental simulation…
Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
William J. Huggins, Jarrod McClean, Nicholas Rubin +4
Variational algorithms are a promising paradigm for utilizing near-term quantum devices for modeling electronic states of molecular systems. However, previous bounds on the measure…
Well-conditioned multiproduct Hamiltonian simulation
Guang Hao Low, Vadym Kliuchnikov, Nathan Wiebe
Product formula approximations of the time-evolution operator on quantum computers are of great interest due to their simplicity, and good scaling with system size by exploiting co…