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20062025
most citedHamiltonian Simulation by Qubitization

846 citations · 4.3k across the 40 of their papers we have counts for

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Showing 2016Show all

7 papers · 1 filter

quant-ph2016★ 846 cited

Hamiltonian Simulation by Qubitization

Guang Hao Low, Isaac L. Chuang

We present the problem of approximating the time-evolution operator to error , where the Hamiltonian $\hat{H}=(\langle G|\otimes\hat{\mathcal{I}})\hat{U}(|G\ran…

quant-ph2016★ 81 cited

Hamiltonian Simulation with Optimal Sample Complexity

Shelby Kimmel, Cedric Yen-Yu Lin, Guang Hao Low +2

We investigate the sample complexity of Hamiltonian simulation: how many copies of an unknown quantum state are required to simulate a Hamiltonian encoded by the density matrix of…

quant-ph2016★ 781 cited

Optimal Hamiltonian Simulation by Quantum Signal Processing

Guang Hao Low, Isaac L. Chuang

The physics of quantum mechanics is the inspiration for, and underlies, quantum computation. As such, one expects physical intuition to be highly influential in the understanding a…

physics.atom-ph2016★ 4 cited

Heisenberg scaling of imaging resolution by coherent enhancement

Robert McConnell, Guang Hao Low, Theodore J. Yoder +4

Classical imaging works by scattering photons from an object to be imaged, and achieves resolution scaling as , with the imaging time. By contrast, the laws of quan…

physics.atom-ph2016★ 17 cited

Iterative Precision Measurement of Branching Ratios Applied to 5P states in 88Sr+

Helena Zhang, Michael Gutierrez, Guang Hao Low +4

We report on a method for measuring the branching ratios of dipole transitions of trapped atomic ions by performing nested sequences of population inversions. This scheme is broadl…

physics.atom-ph2016★ 15 cited

Effects of electrode surface roughness on motional heating of trapped ions

Kuan-Yu Lin, Guang Hao Low, Issac L. Chuang

Electric field noise is a major source of motional heating in trapped ion quantum computation. While the influence of trap electrode geometries on electric field noise has been stu…