41. In rough analogy, a POVM is to a PVM what a density matrix is to a pure state . 42. The generalization from pure states to measure-theoretic probability distribution on \ mathbb { C } P ^ N. 43. It is possible to put the qubit in a mixed state, a statistical combination of different pure states . 44. It is a clear colorless liquid in pure state but a commercially available product is mostly yellowish liquid. 45. A pure state | \ psi \ rangle \ in H is separable if it takes the form 46. "I am a writer, " she says, " a profession that in its purest state sets you free. 47. When written in terms of mixed states, instead of pure states , it is known as the Bures metric. 48. When a system is in an entangled pure state , it is not possible to assign states to its subsystems. 49. :: : : : A pure state is just another name for a unit vector in the Hilbert space. 50. Souls in transmigration are in impure state and liberated ones are said to be in natural or pure state .