Quantum zeno effect of general quantum operations.
Herrera-Martí, David A.
Kwek, Leong Chuan.
Date of Issue2013
National Institute of Education
Institute of Advanced Studies
In this paper, we show that the quantum Zeno effect can occur for generalized quantum measurements or operations. As a consequence of frequently performing nonselective measurements (or trace-preserving completely positive maps), the evolution of a certain measurement-invariant state is governed by an effective Hamiltonian defined by the measurement (or map) and the free-evolution Hamiltonian. For selective measurements, the state may change randomly with time according to measurement outcomes, but some physical quantities (operators) still evolve according to the effective Hamiltonian.
DRNTU::Science::Physics::Atomic physics::Quantum theory
Physical review A
© 2013 American Physical Society. This paper was published in Physical Review A - Atomic, Molecular, and Optical Physics and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevA.88.042321]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.