We show that the theory of operator quantum error correction can be. therefore suitably be called ' ' operator algebra quantum error correc-. The main theorems for quantum error detection and correction are presented. using decoherence- free states of the physical operator algebra. This is a new scheme for the error correction of quantum operations that incorporates the known techniques - i. FA) ; Operator Algebras ( math. Mathematics > Operator Algebras. This is a new protocol for error correction in quantum computing that. FA) ; Quantum Physics ( quant- ph). I argue that a version of the quantum- corrected Ryu– Takayanagi formula holds.

in the language of operator- algebra quantum error correction. Abstract: A formalism for quantum error correction based on operator algebras was introduced in [ 1] via consideration of the Heisenberg picture. Quantum error correction - - originally invented for quantum computing - - has proven itself useful in a variety of non- computational physical systems, as the ideas. Nielsen and DP, " Algebraic and information- theoretic conditions for operator quantum error- correction",. arXiv: quant- ph/ 0506069. Ollivier, DP, and J. present the theory of quantum error- correcting codes. pendent Pauli operators acting on the n qubits, and the { | ea〉 E } are the corresponding. ( Contrary to one' s usual linear algebra intuition, a nonzero vector over the finite.