
AbstractWe prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quantum operation. For the case of a quantum dynamical semigroup with a bounded generator, our analysis leads to a refinement of existing results and extends them to a larger class of quantum operations. We also prove the existence of a novel strong quantum Zeno limit for quantum operations for which a certain spectral gap assumption, which all previous results relied on, is lifted. The quantum operations are instead required to satisfy a weaker property of strong power-convergence. In addition, we establish, for the first time, the existence of a quantum Zeno limit for open quantum systems in the case of unbounded generators. We also provide a variety of physically interesting examples of quantum operations to which our results apply.
Quantum Physics, FOS: Physical sciences, Quantum measurement theory, state operations, state preparations, open quantum systems, [MATH] Mathematics [math], Mathematical Physics (math-ph), 5108 Quantum Physics, [PHYS] Physics [physics], 49 Mathematical Sciences, closed quantum systems, quantum Zeno effect, Quantum Physics (quant-ph), 51 Physical Sciences, Mathematical Physics
Quantum Physics, FOS: Physical sciences, Quantum measurement theory, state operations, state preparations, open quantum systems, [MATH] Mathematics [math], Mathematical Physics (math-ph), 5108 Quantum Physics, [PHYS] Physics [physics], 49 Mathematical Sciences, closed quantum systems, quantum Zeno effect, Quantum Physics (quant-ph), 51 Physical Sciences, Mathematical Physics
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