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pro vyhledávání: '"Abrams, Daniel S."'
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 1999.
Includes bibliographical references (leaves 89-94).
by Daniel S. Abrams.
Ph.D.
Includes bibliographical references (leaves 89-94).
by Daniel S. Abrams.
Ph.D.
Externí odkaz:
http://hdl.handle.net/1721.1/85313
Publikováno v:
Phys. Rev. A 72, 062318 (2005)
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 operator of order 2S, acting on functions psi(x_1,x_2,...,x_D) with D a
Externí odkaz:
http://arxiv.org/abs/quant-ph/0408137
Autor:
Kok, Pieter, Boto, Agedi N., Abrams, Daniel S., Williams, Colin P., Braunstein, Samuel L., Dowling, Jonathan P.
Publikováno v:
Phys. Rev. A 63, 063407 (2001)
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 procedure in order to create patterns in one and two dimensions. This render
Externí odkaz:
http://arxiv.org/abs/quant-ph/0011088
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 atomic clocks. In contrast to classical synchronization schemes, the
Externí odkaz:
http://arxiv.org/abs/quant-ph/0004105
Autor:
Boto, Agedi N., Kok, Pieter, Abrams, Daniel S., Braunstein, Samuel L., Williams, Colin P., Dowling, Jonathan P.
Publikováno v:
Phys. Rev. Lett. 85, 2733 (2000)
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 photon number states, entangled N at a time, we show that it is possi
Externí odkaz:
http://arxiv.org/abs/quant-ph/9912052
Autor:
Abrams, Daniel S., Williams, Colin P.
We discuss quantum algorithms that calculate numerical integrals and descriptive statistics of stochastic processes. With either of two distinct approaches, one obtains an exponential speed increase in comparison to the fastest known classical determ
Externí odkaz:
http://arxiv.org/abs/quant-ph/9908083
Autor:
Abrams, Daniel S., Lloyd, Seth
Publikováno v:
Phys.Rev.Lett.83:5162-5165,1999
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 applied in cases (commonly found in ab initio physics and chemistry probl
Externí odkaz:
http://arxiv.org/abs/quant-ph/9807070
Autor:
Abrams, Daniel S., Lloyd, Seth
Publikováno v:
Phys.Rev.Lett. 81 (1998) 3992-3995
If quantum states exhibit small nonlinearities during time evolution, then quantum computers can be used to solve NP-complete problems in polynomial time. We provide algorithms that solve NP-complete and #P oracle problems by exploiting nonlinear qua
Externí odkaz:
http://arxiv.org/abs/quant-ph/9801041
Autor:
Abrams, Daniel S., Lloyd, Seth
Publikováno v:
Phys.Rev.Lett. 79 (1997) 2586-2589
We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In order to accom
Externí odkaz:
http://arxiv.org/abs/quant-ph/9703054
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