A Von Neumann Algebra Approach to Quantum Metrics/Quantum Relations (Memoirs of the American Mathematical Society) - Softcover

Kuperberg, Greg; Weaver, Nik

 
9780821853412: A Von Neumann Algebra Approach to Quantum Metrics/Quantum Relations (Memoirs of the American Mathematical Society)

Synopsis

Proposes a new definition of quantum metric spaces, or W*-metric spaces, in the setting of von Neumann algebras. Their definition effectively reduces to the classical notion in the atomic abelian case, has both concrete and intrinsic characterizations, and admits a wide variety of tractable examples. A natural application and motivation of their theory is a mutual generalization of the standard models of classical and quantum error correction.

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