REVIEW 1 cited by
Quantum Error Correction of Observables
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Quantum Error Correction of Observables
read the original abstract
A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical information and does not require an encoded state to be entirely in one of the corresponding subspaces or subsystems. Here, we provide detailed proofs for the results of [1], derive a number of new results, and we elucidate key points with expanded discussions. We also present several examples and indicate how the theory can be extended to operator spaces and general positive operator-valued measures.
Forward citations
Cited by 1 Pith paper
-
Nonlinear Geometrizability of State-Dependent Proto-Area in Approximate Holographic Codes
Derives criteria for when state-dependent proto-area two-jets in approximate holographic codes are compatible with metric two-jets, including polyhedral realizations, X-ray transform tangent spaces, and quadratic obst...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.