1210.1831 (Isaac H. Kim)

Determining structure of real-space entanglement spectrum from
approximate conditional independence    [PDF]

Isaac H. Kim

We study ground state of gapped quantum many-body systems whose entanglement entropy $S_A$ can be expressed as $S_A = a|\partial A| - \gamma$, where $a, \gamma$ are some constants and $|\partial A|$ is an area of subsystem $A$. By using the structure of states that are conditionally independent, we argue that certain linear combination of real-space entanglement spectrum has small correlation with almost any local operator. We propose an information-theoretic conjecture under which the aforementioned statement can be established even if the formula for entanglement entropy holds approximately. The conjecture is an extension of strong subadditivity of entropy.

View original: http://arxiv.org/abs/1210.1831