期刊
出版社
ROYAL SOC
DOI: 10.1098/rspa.2015.0623
关键词
conditional mutual information; quantum Markov chains; recoverability; strong subadditivity
资金
- European Research Council (ERC) [258932]
- Swiss National Science Foundation (SNSF) via National Centre of Competence in Research 'QSIT'
- European Commission via project 'RAQUEL'
A central question in quantum information theory is to determine how well lost information can be reconstructed. Crucially, the corresponding recovery operation should perform well without knowing the information to be reconstructed. In this work, we show that the quantum conditional mutual information measures the performance of such recovery operations. More precisely, we prove that the conditional mutual information I(A : C vertical bar B) of a tripartite quantum state rho(ABC) can be bounded from below by its distance to the closest recovered state R-B -> BC(rho(AB)), where the C-part is reconstructed from the B-part only and the recovery map RB -> BC merely depends on rho(BC). One particular application of this result implies the equivalence between two different approaches to define topological order in quantum systems.
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