Page 1. OBJECT-IMAGE CORRESPONDENCE FOR CURVES UNDER FINITE AND AFFINE CAMERAS JOSEPH M. BURDIS A... more Page 1. OBJECT-IMAGE CORRESPONDENCE FOR CURVES UNDER FINITE AND AFFINE CAMERAS JOSEPH M. BURDIS AND IRINA A. KOGAN Abstract. We provide criteria for deciding whether a given planar curve is an ...
This Mathematica 5.2 package 1 is a simulation of a Quantum Computer. The program provides a modu... more This Mathematica 5.2 package 1 is a simulation of a Quantum Computer. The program provides a modular, instructive approach for generating the basic elements that make up a quantum circuit. The main emphasis is on using the density matrix, although an approach using state vectors is also implemented in the package. The package commands are defined in Qdensity.m which contains the tools needed in quantum circuits, e.g. multiqubit kets, projectors, gates, etc. Selected examples of the basic commands are presented here and a tutorial notebook, Tutorial.nb is provided with the package (available on our website) that serves as a full guide to the package. Finally, application is made to a variety of relevant cases, including Teleportation, Quantum Fourier transform, Grover's search and Shor's algorithm, in separate notebooks: QFT.nb, Teleportation.nb, Grover.nb and Shor.nb where each algorithm is explained in detail. Finally, two examples of the construction and manipulation of cluster states, which are part of "one way computing" ideas, are included as an additional tool in the notebook Cluster.nb. A Mathematica palette containing most commands in QDENSITY is also included: QDENSpalette.nb .
Page 1. OBJECT-IMAGE CORRESPONDENCE FOR CURVES UNDER FINITE AND AFFINE CAMERAS JOSEPH M. BURDIS A... more Page 1. OBJECT-IMAGE CORRESPONDENCE FOR CURVES UNDER FINITE AND AFFINE CAMERAS JOSEPH M. BURDIS AND IRINA A. KOGAN Abstract. We provide criteria for deciding whether a given planar curve is an ...
This Mathematica 5.2 package 1 is a simulation of a Quantum Computer. The program provides a modu... more This Mathematica 5.2 package 1 is a simulation of a Quantum Computer. The program provides a modular, instructive approach for generating the basic elements that make up a quantum circuit. The main emphasis is on using the density matrix, although an approach using state vectors is also implemented in the package. The package commands are defined in Qdensity.m which contains the tools needed in quantum circuits, e.g. multiqubit kets, projectors, gates, etc. Selected examples of the basic commands are presented here and a tutorial notebook, Tutorial.nb is provided with the package (available on our website) that serves as a full guide to the package. Finally, application is made to a variety of relevant cases, including Teleportation, Quantum Fourier transform, Grover's search and Shor's algorithm, in separate notebooks: QFT.nb, Teleportation.nb, Grover.nb and Shor.nb where each algorithm is explained in detail. Finally, two examples of the construction and manipulation of cluster states, which are part of "one way computing" ideas, are included as an additional tool in the notebook Cluster.nb. A Mathematica palette containing most commands in QDENSITY is also included: QDENSpalette.nb .
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