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There are 7 letters in SQUASHE ( A1E1H4Q10S1U1 )
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SQUASHE - Squashed entanglement, also called CMI entanglement (CMI can be pro noun ced "see me"), is an information theoretic measure of quantum entanglement fo...
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Squashed entanglement, also called CMI entanglement (CMI can be pronounced "see me"), is an information theoretic measure of quantum entanglement for a bipartite quantum system. If * * * * * ϱ * * A * , * B * * * * * {\displaystyle \varrho _{A,B}} * is the density matrix of a system * * * * ( * A * , * B * ) * * * {\displaystyle (A,B)} * composed of two subsystems * * * * A * * * {\displaystyle A} * and * * * * B * * * {\displaystyle B} * , then the CMI entanglement * * * * * E * * C * M * I * * * * * {\displaystyle E_{CMI}} * of system * * * * ( * A * , * B * ) * * * {\displaystyle (A,B)} * is defined by* where * * * * K * * * {\displaystyle K} * is the set of all density matrices * * * * * ϱ * * A * , * B * , * Λ * * * * * {\displaystyle \varrho _{A,B,\Lambda }} * for a tripartite system * * * * ( * A * , * B * , * Λ * ) * * * {\displaystyle (A,B,\Lambda )} * such that * * * * * ϱ * * A * , * B * * * = * t * * r * * Λ * * * ( * * ϱ * * A * , * B * , * Λ * * * ) * * * {\displaystyle \varrho _{A,B}=tr_{\Lambda }(\varrho _{A,B,\Lambda })} * . Thus, CMI entanglement is defined as an extremum of a functional * * * * S * ( * A * : * B * * | * * Λ * ) * * * {\displaystyle S(A:B|\Lambda )} * of * * * * * ϱ * * A * , * B * , * Λ * * * * * {\displaystyle \varrho _{A,B,\Lambda }} * . We define * * * * S * ( * A * : * B * * | * * Λ * ) * * * {\displaystyle S(A:B|\Lambda )} * , the quantum Conditional Mutual Information (CMI), below. A more general version of Eq.(1) replaces the ``min" (minimum) in Eq.(1) by an ``inf" (infimum). When * * * * * ϱ * * A * , * B * * * * * {\displaystyle \varrho _{A,B}} * is a pure state, * * * * * * E * * C * M * I * * * ( * * ϱ * * A * ... |