Salix alba: fix % bug in $use \% to avoid parse errors$

2014-10-28T08:48:11Z

fix % bug in <math> use \% to avoid parse errors

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	~~In [[physics]]~~, ~~a '''quantum instrument''' is a mathematical abstraction of a~~ [~~[quantum measurement]], capturing both the [[classical physics\|classical]] and [[quantum physics\|quantum]] outputs~~. ~~It combines the concepts of [[measurement~~]~~] and~~ [~~[quantum operation]]~~.

	~~==Definition==~~
	~~Quantum instruments are usually defined as a weighted collection of [[completely positive]] maps, the sum of which is trace preserving~~. ~~That is, it is a collection <math>\mathcal{E}_k<~~/~~math> of operators that act as~~

	~~:<math>~~
	~~\rho^{AB} \rightarrow~~
	~~\tilde{\rho}^{AA'B} := \sum_k \mathcal{E}_k~~
	~~\left( \rho^{AB} \right)\otimes \vert k \rangle \langle k\vert^{A'}~~
	</~~math>~~

	~~A quantum instrument is more general than a [[quantum operation]~~] ~~because it records the outcome~~ '~~'k'' of which operator acted on the state~~. ~~An expanded development of quanum instruments~~ is ~~given~~ in [~~[quantum channel]]~~.

	~~== References ==~~
	~~{{No footnotes\|date=July 2009}}~~
	* E. ~~Davies, J~~. ~~Lewis~~. ~~An operational approach~~ to ~~quantum probability, Comm~~. ~~Math. Phys., vol. 17, pp. 239-260, 1970.~~
	* [http://~~arxiv~~.~~org~~/~~abs/quant-ph/0306078v1 Distillation of secret key paper~~]
	* [http://~~arxiv~~.org/~~abs~~/~~quant-ph~~/~~0501045 Another paper which uses the concept]~~

	~~{{DEFAULTSORT:Quantum Instrument}}~~
	~~[[Category:Quantum mechanics~~]]
	~~{{physics-stub}}~~

en>Tetracube: -,

2010-05-03T17:18:11Z

New page

In [[physics]], a '''quantum instrument''' is a mathematical abstraction of a [[quantum measurement]], capturing both the [[classical physics|classical]] and [[quantum physics|quantum]] outputs. It combines the concepts of [[measurement]] and [[quantum operation]].

==Definition==
Quantum instruments are usually defined as a weighted collection of [[completely positive]] maps, the sum of which is trace preserving. That is, it is a collection <math>\mathcal{E}_k</math> of operators that act as

:<math>
\rho^{AB} \rightarrow
\tilde{\rho}^{AA'B} := \sum_k \mathcal{E}_k
\left( \rho^{AB} \right)\otimes \vert k \rangle \langle k\vert^{A'}
</math>

A quantum instrument is more general than a [[quantum operation]] because it records the outcome ''k'' of which operator acted on the state. An expanded development of quanum instruments is given in [[quantum channel]].

== References ==
{{No footnotes|date=July 2009}}
* E. Davies, J. Lewis. An operational approach to quantum probability, Comm. Math. Phys., vol. 17, pp. 239-260, 1970.
* [http://arxiv.org/abs/quant-ph/0306078v1 Distillation of secret key paper]
* [http://arxiv.org/abs/quant-ph/0501045 Another paper which uses the concept]

{{DEFAULTSORT:Quantum Instrument}}
[[Category:Quantum mechanics]]
{{physics-stub}}

VALBOND - Revision history

Salix alba: fix % bug in use \% to avoid parse errors

en>Tetracube: -,

Salix alba: fix % bug in $use \% to avoid parse errors$