Direct measurement of general quantum states using weak measurement

Physics – Quantum Physics

Scientific paper

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This is a later and very different version of arXiv:1110.0727v3 [quant-ph]. New content: a method to directly measure each ele

Scientific paper

10.1103/PhysRevLett.108.070402

Recent work [J.S. Lundeen et al. Nature, 474, 188 (2011)] directly measured the wavefunction by weakly measuring a variable followed by a normal (i.e. `strong') measurement of the complementary variable. We generalize this method to mixed states by considering the weak measurement of various products of these observables, thereby providing the density matrix an operational definition in terms of a procedure for its direct measurement. The method only requires measurements in two bases and can be performed `in situ', determining the quantum state without destroying it.

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