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For questions about density matrices and related concepts and ideas, e.g. procedures for computing properties of quantum states from their density matrices.
3
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1
answer
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Can a generic 2-qubit state be unitarily converted into one of the form $I_2\otimes I_2+\lam...
Suppose I have a general 2-qubit state written in a basis consisting of tensor products of Pauli matrices:
$\rho=\frac{1}{4}\left[I_2\otimes I_2+\Sigma_{i} a_i \sigma_i\otimes I_2+\Sigma_{i} b_i I_2\o …
1
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1
answer
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Simplification of a generic quantum state
We are given a generic 2-qubit density matrix
$$\rho=\frac{1}{4}\left[I_4+\Sigma_i a_i \sigma_i \otimes I_2 + \Sigma_i b_i I_2 \otimes \sigma_i + \Sigma_{i,j} c_{ij} \sigma_i \otimes \sigma_j\right]$$ …
2
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1
answer
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How is the expression $\frac{\|\rho^{T_B}\|-1}{2}$ obtained from the definition of negativity?
In quantum information theory, negativity is defined as summation of the absolute values of negative eigenvalues of the partial transposed density matrix. The expression of negativity is given as
$$
\ …