1.5k citations · 3.9k across the 8 of their papers we have counts for
8 papers
Eigenvalue Estimation of Differential Operators
Thomas Szkopek, Vwani Roychowdhury, Eli Yablonovitch +1
We demonstrate how linear differential operators could be emulated by a quantum processor, should one ever be built, using the Abrams-Lloyd algorithm. Given a linear differential o…
Quantum interferometric optical lithography:towards arbitrary two-dimensional patterns
Pieter Kok, Agedi N. Boto, Daniel S. Abrams +3
As demonstrated by Boto et al. [Phys. Rev. Lett. 85, 2733 (2000)], quantum lithography offers an increase in resolution below the diffraction limit. Here, we generalize this proced…
Quantum Clock Synchronization Based on Shared Prior Entanglement
Richard Jozsa, Daniel S. Abrams, Jonathan P. Dowling +1
We demonstrate that two spatially separated parties (Alice and Bob) can utilize shared prior quantum entanglement, and classical communications, to establish a synchronized pair of…
Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
Agedi N. Boto, Pieter Kok, Daniel S. Abrams +3
Classical, interferometric, optical lithography is diffraction limited to writing features of a size lambda/2 or greater, where lambda is the optical wavelength. Using nonclassical…
Fast quantum algorithms for numerical integrals and stochastic processes
Daniel S. Abrams, Colin P. Williams
We discuss quantum algorithms that calculate numerical integrals and descriptive statistics of stochastic processes. With either of two distinct approaches, one obtains an exponent…
A quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
Daniel S. Abrams, Seth Lloyd
We describe a new polynomial time quantum algorithm that uses the quantum fast fourier transform to find eigenvalues and eigenvectors of a Hamiltonian operator, and that can be app…