How to calculate the given number

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Suppose you are given an n-qubit quantum channel defined as ε(ρ) = _iΣ Π X_i ρ X_i^t , where X_i denotes an n-fold tensor product of Pauli matrices and {P_i} is a probability distribution. The Holevo-Schumacher-Westmoreland capacity of the channel is defined by χ(ε) = _{{qj, pj}}max [S (_jΣ q_jp_j) - _jΣ q_j S (p_j)], where S denotes the von Neumann entropy of a density matrix. Is it known how to calculate this number as a function of p_i and n?

Reference no: EM13978988

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How to calculate the given number : Suppose you are given an n-qubit quantum channel defined as ε(ρ) = iΣ Π Xi ρ Xit , where Xi denotes an n-fold tensor product of Pauli matrices and {Pi} is a probability distribution. Is it known how to calculate this number as a function of pi and n?

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