Shear flow - Revision history

en>Sfan00 IMG: WPCleaner v1.34b - Fixed using WP:WCW (Break in list)

2014-10-19T05:55:14Z

WPCleaner v1.34b - Fixed using WP:WCW (Break in list)

← Older revision		Revision as of 07:55, 19 October 2014
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	~~[[File:Cayley_graph_Pauli~~.~~svg\|thumb\|The [[Möbius–Kantor graph]], the [[Cayley graph]] of the Pauli group <math>G_1</math> with generators~~ '~~'X'', ''Y'',~~ and ~~''Z'']]~~		I am Oscar and I completely dig that name. Since she was 18 she's been working as a receptionist but her promotion by no means arrives. South Dakota is exactly where me and my husband reside. Playing baseball is the pastime he will never quit performing.<br><br>My blog ... [http://www.hard-ass-porn.com/user/MPolglaze www.hard-ass-porn.com]

	~~In [[physics]] and [[mathematics]], the '''Pauli group''' <math>G_1</math> on 1 [[qubit]]~~ is the ~~16-element [[matrix group]] consisting of the 2 × 2 [[identity matrix]]~~ <~~math~~>I<~~/math~~> ~~and all of the [~~[~~Pauli matrices]]~~
	:~~<math>X = \sigma_1 =~~
	~~\begin{pmatrix}~~
	~~0&1\\~~
	~~1&0~~
	~~\end{pmatrix},\quad~~
	~~Y = \sigma_2 =~~
	~~\begin{pmatrix}~~
	~~0&-i\\~~
	~~i&0~~
	~~\end{pmatrix},\quad~~
	~~Z = \sigma_3 =~~
	~~\begin{pmatrix}~~
	~~1&0\\~~
	~~0&-1~~
	~~\end{pmatrix}<~~/~~math>,~~
	~~together with the products of these matrices with the factors <math>-1<~~/~~math> and <math>\pm i</math>:~~
	~~:<math>G_1 \ \stackrel{\mathrm{def}}{=}\ \{\pm I,\pm iI,\pm X,\pm iX,\pm Y,\pm iY,\pm Z,\pm iZ\} \equiv \langle X, Y, Z \rangle</math>~~.
	~~The Pauli group is [[Generating_set_of_a_group\|generated]] by the Pauli matrices, and like them it is named after [[Wolfgang Pauli]]~~.

	~~The Pauli group on n qubits, <math>G_n<~~/~~math>, is the group generated by the operators described above applied to each of <math>n</math> qubits in the [[tensor product]] [[Hilbert space]] <math>(\mathbb{C}^2)^{\otimes n}<~~/~~math>~~.

	~~==References==~~
	* {{cite book \|title= Quantum Computation and Quantum Information\|last= Nielsen\|first= Michael A\|authorlink= \|coauthors= Chuang, Isaac L\|year= 2000\|publisher= [[Cambridge University Press]]\|location= [[Cambridge]]; [[New York City\|New York]]\|isbn= 978-0-~~521-63235-5\|oclc= 43641333\|pages= }}~~

	~~[[Category:Finite groups~~]]
	~~[[Category:Quantum information science]]~~


	~~{{quantum-stub}}~~

146.151.99.32: /* Shear flow in semi-monocoque structures */

2013-04-11T21:54:57Z

Shear flow in semi-monocoque structures

← Older revision		Revision as of 23:54, 11 April 2013
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	~~Hello~~ and ~~welcome. My title~~ is ~~Irwin~~ and I ~~totally dig that name~~. ~~Managing individuals~~ is ~~his profession. One of~~ the ~~extremely very best things in the world for him is to collect badges but he is having difficulties to find time for it. Years ago we moved to Puerto Rico~~ and ~~my family loves~~ it.<br><br>~~Feel free~~ to ~~visit my website:~~ [~~http:~~/~~/www~~.~~hard~~-~~ass~~-~~porn.com/blog/111007 hard~~-~~ass~~-~~porn.com~~]		[[File:Cayley_graph_Pauli.svg\|thumb\|The [[Möbius–Kantor graph]], the [[Cayley graph]] of the Pauli group <math>G_1</math> with generators ''X'', ''Y'', and ''Z'']]

			In [[physics]] and [[mathematics]], the '''Pauli group''' <math>G_1</math> on 1 [[qubit]] is the 16-element [[matrix group]] consisting of the 2 × 2 [[identity matrix]] <math>I</math> and all of the [[Pauli matrices]]
			:<math>X = \sigma_1 =
			\begin{pmatrix}
			0&1\\
			1&0
			\end{pmatrix},\quad
			Y = \sigma_2 =
			\begin{pmatrix}
			0&-i\\
			i&0
			\end{pmatrix},\quad
			Z = \sigma_3 =
			\begin{pmatrix}
			1&0\\
			0&-1
			\end{pmatrix}</math>,
			together with the products of these matrices with the factors <math>-1</math> and <math>\pm i</math>:
			:<math>G_1 \ \stackrel{\mathrm{def}}{=}\ \{\pm I,\pm iI,\pm X,\pm iX,\pm Y,\pm iY,\pm Z,\pm iZ\} \equiv \langle X, Y, Z \rangle</math>.
			The Pauli group is [[Generating_set_of_a_group\|generated]] by the Pauli matrices, and like them it is named after [[Wolfgang Pauli]].

			The Pauli group on n qubits, <math>G_n</math>, is the group generated by the operators described above applied to each of <math>n</math> qubits in the [[tensor product]] [[Hilbert space]] <math>(\mathbb{C}^2)^{\otimes n}</math>.

			==References==
			* {{cite book \|title= Quantum Computation and Quantum Information\|last= Nielsen\|first= Michael A\|authorlink= \|coauthors= Chuang, Isaac L\|year= 2000\|publisher= [[Cambridge University Press]]\|location= [[Cambridge]]; [[New York City\|New York]]\|isbn= 978-0-521-63235-5\|oclc= 43641333\|pages= }}

			[[Category:Finite groups]]
			[[Category:Quantum information science]]


			{{quantum-stub}}

202.54.134.178 at 09:14, 14 August 2012

2012-08-14T09:14:24Z

New page

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