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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 votes
1 answer
48 views

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 …
Anindita Sarkar's user avatar
1 vote
1 answer
58 views

Simplification of a generic quantum state

We are given a generic 2-qubit density matrix $$\rho=\frac{1}{4}\left[I_4+\Sigma_i a_i \sigma_i \otimes I_2 + \Sigma_i b_i I_2 \otimes \sigma_i + \Sigma_{i,j} c_{ij} \sigma_i \otimes \sigma_j\right]$$ …
Anindita Sarkar's user avatar
2 votes
1 answer
51 views

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 $$ \ …
Anindita Sarkar's user avatar