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The second-order reduced density matrices and its application to chemistry and physics

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Mathematical Challenges in Quantum Information

Variational determination the ground state of two-particle Hamiltonian using the second-order reduced density matrix is very hopeful approach to quantum chemistry and condensed matter physics (J.Chem.Phys 114, 8282-8292 (2001)). The Quantum Marginal problem in this context is known as N-representability problem. If we employ some non-negativity conditions, which are necessary conditions of N-representability, the ground state energies are quite accurately calculated. In this talk, we show some results, and state some open questions to community.

This talk is part of the Isaac Newton Institute Seminar Series series.

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