Complex weak values in quantum measurement
By Richard Jozsa. 2007
267 citations recorded by the source corpus.
In the weak value formalism of Aharonov et al., the weak value A{sub w} of any observable A is generally a complex number. We derive a physical interpretation of its value in terms of the shift in the measurement pointer's mean position and mean momentum. In particular, we show that the mean position shift contains a term jointly proportional to the imaginary part of the weak value and the rate at which the pointer is spreading in space as it enters the measurement interaction.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/0511b818b7f83e73e089be949cd7458f8a22abc6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Sahel Ashhab
- Franco Nori
- Abraham G. Kofman
- Boaz Tamir
- Eliahu Cohen
- Jeff S. Lundeen
- J. You
- I. Georgescu
In Atomic and Molecular Physics, and Optics
- Sahel Ashhab
- Franco Nori
- Abraham G. Kofman
- Boaz Tamir
- Eliahu Cohen
- Jeff S. Lundeen
- J. You
- I. Georgescu
Citations in the corpus
- Introduction to Weak Measurements and Weak Values (2013, background): “How do complex values effect the needle’s wave function? Theorem [Jozsa] [25]: Consider Ĥint = g(t)Â ⊗ P̂d and let |α〉 be the pointer’s wave function following the post-selection”
- Nonperturbative theory of weak pre-and post-selected measurements (2011, background): “Jozsa [110] revealed theoretica lly a term proportional to ImAw in the coordinate deflection.”
- Direct measurement of the quantum wavefunction (2011, background): “[26] Jozsa, R.”