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Wikipedia. Commuting matrices. URL: https://en.wikipedia.org/wiki/Commuting_matrices. ↩
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Wikipedia. Comparison matrix. URL: https://en.wikipedia.org/wiki/Comparison_matrix. ↩
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Wikipedia. Concurrence (quantum computing). URL: https://en.wikipedia.org/wiki/Concurrence_(quantum_computing). ↩
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Wikipedia. Cyclic permutation. URL: https://en.wikipedia.org/wiki/Cyclic_permutation. ↩
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Wikipedia. Density matrix. URL: https://en.wikipedia.org/wiki/Density_matrix. ↩
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Wikipedia. Quantum depolarizing channel. URL: https://en.wikipedia.org/wiki/Quantum_depolarizing_channel. ↩
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Wikipedia. DFT matrix. URL: https://en.wikipedia.org/wiki/DFT_matrix. ↩
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Wikipedia. Diagonal matrix. URL: https://en.wikipedia.org/wiki/Diagonal_matrix. ↩
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Wikipedia. Diagonally dominant matrix. URL: https://en.wikipedia.org/wiki/Diagonally_dominant_matrix. ↩
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Wikipedia. Doubly stochastic matrix. URL: https://en.wikipedia.org/wiki/Doubly_stochastic_matrix. ↩
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Wikipedia. Fidelity of quantum states. URL: https://en.wikipedia.org/wiki/Fidelity_of_quantum_states. ↩
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Wikipedia. Gell-Mann matrices. URL: https://en.wikipedia.org/wiki/Gell-Mann_matrices. ↩
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Wikipedia. Gram matrix. URL: https://en.wikipedia.org/wiki/Gram_matrix. ↩
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Wikipedia. Hadamard transform. URL: https://en.wikipedia.org/wiki/Hadamard_transform. ↩
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Wikipedia. Hermitian matrix. URL: https://en.wikipedia.org/wiki/Hermitian_matrix. ↩
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Wikipedia. Skew-hermitian matrix. URL: https://en.wikipedia.org/wiki/Skew-Hermitian_matrix. ↩
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Wikipedia. Hilbert-schmidt operator. URL: https://en.wikipedia.org/wiki/Hilbert%E2%80%93Schmidt_operator. ↩
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Wikipedia. Holevoś theorem. URL: https://en.wikipedia.org/wiki/Holevo%27s_theorem. ↩
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Wikipedia. Idempotent matrix. URL: https://en.wikipedia.org/wiki/Idempotent_matrix. ↩
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Wikipedia. Identity matrix. URL: https://en.wikipedia.org/wiki/Identity_matrix. ↩
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Wikipedia. Inner product space. URL: https://en.wikipedia.org/wiki/Inner_product_space. ↩
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Wikipedia. Linear independence. URL: https://en.wikipedia.org/wiki/Linear_independence. ↩
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Wikipedia. Negativity. URL: https://en.wikipedia.org/wiki/Negativity_(quantum_mechanics). ↩
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Wikipedia. Kernel (linear algebra). URL: https://en.wikipedia.org/wiki/Kernel_(linear_algebra). ↩
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Wikipedia. Majorization. URL: https://en.wikipedia.org/wiki/Majorization. ↩
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Wikipedia. Rank (linear algebra). URL: https://en.wikipedia.org/wiki/Rank_(linear_algebra). ↩
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Wikipedia. Quantum entanglement. URL: https://en.wikipedia.org/wiki/Quantum_entanglement. ↩
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Wikipedia. Quantum state - mixed states. URL: https://en.wikipedia.org/wiki/Quantum_state#Mixed_states. ↩
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Wikipedia. Mutually unbiased bases. URL: https://en.wikipedia.org/wiki/Mutually_unbiased_bases. ↩
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Wikipedia. Mutual coherence (linear algebra). URL: https://en.wikipedia.org/wiki/Mutual_coherence_(linear_algebra). ↩
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Wikipedia. Nonnegative matrix. URL: https://en.wikipedia.org/wiki/Nonnegative_matrix. ↩
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Wikipedia. Normal matrix. URL: https://en.wikipedia.org/wiki/Normal_matrix. ↩
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Wikipedia. Orthogonality. URL: https://en.wikipedia.org/wiki/Orthogonality. ↩
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Wikipedia. Outer product. URL: https://en.wikipedia.org/wiki/Outer_product. ↩
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Wikipedia. Parity of a permutation. URL: https://en.wikipedia.org/wiki/Parity_of_a_permutation. ↩
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Wikipedia. Pauli matrices. URL: https://en.wikipedia.org/wiki/Pauli_matrices. ↩
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Wikipedia. Generalizations of Pauli matrices. URL: https://en.wikipedia.org/wiki/Generalizations_of_Pauli_matrices. ↩
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Wikipedia. Partial trace. URL: https://en.wikipedia.org/wiki/Partial_trace. ↩
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Wikipedia. Peres-horodecki criterion. URL: https://en.wikipedia.org/wiki/Peres%E2%80%93Horodecki_criterion. ↩
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Wikipedia. Permutation matrix. URL: https://en.wikipedia.org/wiki/Permutation_matrix. ↩
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Wikipedia. Definite matrix. URL: https://en.wikipedia.org/wiki/Definite_matrix. ↩
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Wikipedia. POVM. URL: https://en.wikipedia.org/wiki/POVM. ↩
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Wikipedia. Projection matrix. URL: https://en.wikipedia.org/wiki/Projection_matrix. ↩
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Wikipedia. Quantum state - pure states. URL: https://en.wikipedia.org/wiki/Quantum_state#Pure_states_of_wave_functions. ↩
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Wikipedia. Purity (quantum mechanics). URL: https://en.wikipedia.org/wiki/Purity_(quantum_mechanics). ↩
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Wikipedia. Measurement in quantum mechanics. URL: https://en.wikipedia.org/wiki/Measurement_in_quantum_mechanics. ↩
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Wikipedia. Reduction criterion. URL: https://en.wikipedia.org/wiki/Reduction_criterion. ↩
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Wikipedia. Schmidt decomposition. URL: https://en.wikipedia.org/wiki/Schmidt_decomposition. ↩
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Wikipedia. Separable state. URL: https://en.wikipedia.org/wiki/Separable_state. ↩
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Wikipedia. Square matrix. URL: https://en.wikipedia.org/wiki/Square_matrix. ↩
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Wikipedia. Symmetric matrix. URL: https://en.wikipedia.org/wiki/Symmetric_matrix. ↩
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Wikipedia. Stochastic matrix. URL: https://en.wikipedia.org/wiki/Stochastic_matrix. ↩
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Wikipedia. Tensor product. URL: https://en.wikipedia.org/wiki/Tensor_product. ↩
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Wikipedia. Totally positive matrix. URL: https://en.wikipedia.org/wiki/Totally_positive_matrix. ↩
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Wikipedia. Unitary matrix. URL: https://en.wikipedia.org/wiki/Unitary_matrix. ↩
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Wikipedia. Von neumann entropy. URL: https://en.wikipedia.org/wiki/Von_Neumann_entropy. ↩
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Jon Yard. Introduction to quantum information processing. URL: https://www.math.uwaterloo.ca/~jyard/qic710/F17/Qic710Lec11-2017.pdf. ↩
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Nengkun Yu, Runyao Duan, and Mingsheng Ying. Four locally indistinguishable ququad-ququad orthogonal maximally entangled states. Physical Review Letters, Jul 2012. URL: http://dx.doi.org/10.1103/PhysRevLett.109.020506, doi:10.1103/physrevlett.109.020506. ↩
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Cheng-Jie Zhang, Yong-Sheng Zhang, Shun Zhang, and Guang-Can Guo. Entanglement detection beyond the computable cross-norm or realignment criterion. Phys. Rev. A, 77:060301, Jun 2008. URL: https://link.aps.org/doi/10.1103/PhysRevA.77.060301, doi:10.1103/PhysRevA.77.060301. ↩