Quantum Information Science: Lecture 25 Unit 13 Quantum 'Matrix' (Quantum sensing and metrology)

Lecture 25 Unit 13 Quantum 'Matrix' (Quantum sensing and metrology) Topics: Heisenberg’s uncertainty principle (interpretation) Heisenberg’s uncertainty principle -- derivation Consequence: standard quantum limit Dealing with uncertainty Mach-Zehnder (MZ) interferometer Recall: Homework 1 problem on MZ interferometer and solution Mach-Zehnder interferometer: shot-noise limit and beating it N00N state for interferometry Fisher information and Cramer-Rao bound (classical) Proving Cramer-Rao bound Quantum Fisher information—Intuitive picture Quantum Fisher information--Formal definition Quantum Fisher information: unitary channel Examples---Single Mode When input is pure and there are multiple parameters Examples---Interferometry Review of this QIS course syllabus