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  2. Partial trace - Wikipedia

    en.wikipedia.org/wiki/Partial_trace

    Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function. The partial trace has applications in quantum information and decoherence which is relevant for quantum measurement and thereby to the decoherent approaches to interpretations of quantum mechanics , including consistent histories and ...

  3. Schmidt decomposition - Wikipedia

    en.wikipedia.org/wiki/Schmidt_decomposition

    In linear algebra, the Schmidt decomposition (named after its originator Erhard Schmidt) refers to a particular way of expressing a vector in the tensor product of two inner product spaces. It has numerous applications in quantum information theory , for example in entanglement characterization and in state purification , and plasticity .

  4. Quantum channel - Wikipedia

    en.wikipedia.org/wiki/Quantum_channel

    the reduced state of ρ on system A, ρ A, is obtained by taking the partial trace of ρ with respect to the B system: =. The partial trace operation is a CPTP map, therefore a quantum channel in the Schrödinger picture. [5] In the Heisenberg picture, the dual map of this channel is

  5. Here's the biggest news you missed this weekend - AOL

    www.aol.com/news/heres-biggest-news-missed...

    The 15-year-old girl who killed two people and wounded others at a private Christian school in Wisconsin had a tumultuous home life, according to court documents obtained by NBC News.

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  9. Strong subadditivity of quantum entropy - Wikipedia

    en.wikipedia.org/wiki/Strong_Subadditivity_of...

    MPT MONO: was shown by Lindblad, [20] using a representation of stochastic maps as a partial trace over an auxiliary system; MPT ⇒ {\displaystyle \Rightarrow } SSA: follows by taking a particular choice of tri-partite states in MPT, described in the section above, "Monotonicity of quantum relative entropy";