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A '''superoperator''' is a [[linear operator]] acting on a space of linear operators. |
A '''superoperator''' is a [[linear operator]] acting on a space of linear operators. |
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Sometimes the term refers more specially to a [[completely positive map]] which does not increase or preserves the [[trace (linear algebra)|trace]] of its [[Argument (disambiguation)|argument]]. |
Sometimes the term refers more specially to a [[completely positive map]] which does not increase or preserves the [[trace (linear algebra)|trace]] of its [[Argument (disambiguation)|argument]]. |
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This specialized meaning is used extensively in the field of [[quantum computing]], especially [[quantum programming]], as they characterise mappings between [[density matrix|density matrices]]. |
This specialized meaning is used extensively in the field of [[quantum computing]], especially [[quantum programming]], as they characterise mappings between [[density matrix|density matrices]]. |
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[[Category:Quantum information theory]] |
[[Category:Quantum information theory]] |
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Revision as of 04:46, 22 October 2009
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A superoperator is a linear operator acting on a space of linear operators. Sometimes the term refers more specially to a completely positive map which does not increase or preserves the trace of its argument.
This specialized meaning is used extensively in the field of quantum computing, especially quantum programming, as they characterise mappings between density matrices.