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SQUUSHE

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Squushe might refer to
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 * ...

Squushe might refer to

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
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* , then the CMI entanglement
*
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* {\displaystyle E_{CMI}}
* of system
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* is defined by* where
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* is the set of all density matrices
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* for a tripartite system
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* such that
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* {\displaystyle \varrho _{A,B}=tr_{\Lambda }(\varrho _{A,B,\Lambda })}
* . Thus, CMI entanglement is defined as an extremum of a functional
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* . We define
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* , 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
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* ,
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* {\displaystyle \varrho _{A,B}}
* is a pure state,
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