A detector-based measurement theory for quantum field theory
- URL: http://arxiv.org/abs/2108.02793v3
- Date: Thu, 3 Mar 2022 04:46:46 GMT
- Title: A detector-based measurement theory for quantum field theory
- Authors: Jos\'e Polo-G\'omez, Luis J. Garay and Eduardo Mart\'in-Mart\'inez
- Abstract summary: We propose a measurement theory for quantum fields based on measurements made with localized non-relativistic systems.
We analyze the positive operator-valued measure (POVM) induced on the field when an idealized measurement is carried out on the detector after it coupled to the field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a measurement theory for quantum fields based on measurements made
with localized non-relativistic systems that couple covariantly to quantum
fields (like the Unruh-DeWitt detector). Concretely, we analyze the positive
operator-valued measure (POVM) induced on the field when an idealized
measurement is carried out on the detector after it coupled to the field. Using
an information-theoretic approach, we provide a relativistic analogue to the
quantum mechanical L\"uders update rule to update the field state following the
measurement on the detector. We argue that this proposal has all the desirable
characteristics of a proper measurement theory. In particular it does not
suffer from the "impossible measurements" problem pointed out by Rafael Sorkin
in the 90s which shows that idealized measurements cannot be used in quantum
field theory.
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