Quantum Information in Geometric Quantum Mechanics

摘要: A fundamental starting point in quantum information theory is the consideration of von Neumann entropy and its generalization to relative entropies. particular feature entropies their relation via Hessian monotonic Riemannian metrics on dense set invertible mixed states (Lesniewski Ruskai 1999). These are also known as Fisher provide a direct link estimation (Helstrom 1969). Quantum which extendable pure coincide all with Fubini Study metric projective Hilbert space complex rays. This theses outlines possible advantages an inverse approach theory, by rather then entropy. This done first step associating covariant contra-variant structure punctured being available geometric formulation mechanics. While leads version Cramer-Rao inequality for general 1-dimensional submanifolds states, provides alternative entanglement monotones identifying inner product pullback tensor fields local unitary group orbits states. It shown case two qubits that these yield more efficient than standard measures from literature those associated linearization