quantum topology

{{Short description|Study of quantum mechanics through low-dimensional topology

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{{Quantum mechanics|cTopic=Background}}{{Use American English|date=January 2019}}

Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology.

Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space. This bra–ket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products.{{cite book |first=Louis H. |last=Kauffman |authorlink=Louis Kauffman |first2=Randy A. |last2=Baadhio |title=Quantum Topology |location=River Edge, NJ |publisher=World Scientific |year=1993 |isbn=981-02-1544-4 }}

Topological entanglement involving linking and braiding can be intuitively related to quantum entanglement.