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arXiv · 1305.2464

Quantum Zeno Effect of General Quantum Operations

Ying Li·David Herrera-Marti·Leong Chuan Kwek
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Abstract

In this paper, we show that the quantum Zeno effect occurs for any frequent quantum measurements or operations. As a result of the Zeno effect, for non-selective measurements (or trace preserving completely positive maps), the evolution of a measurement invariant state is governed by an effective Hamiltonian defined by the measurements and the free-evolution Hamiltonian. For selective measurements, the state may change randomly with time according to measurement outcomes, while some physical quantities (operators) still evolve as the effective dynamics.

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Ying Li, David Herrera-Marti, Leong Chuan Kwek. 2013-05-29. Quantum Zeno Effect of General Quantum Operations. https://doi.org/10.1103/physreva.88.042321

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