Quantum Zeno effect for open quantum systems
arXiv:2010.04121 · doi:10.1007/s00023-021-01075-8
Abstract
We 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 the case of unbounded generators. We also provide a variety of physically interesting examples of quantum operations to which our results apply.
arXiv comment45 pages
References in corpus (17)
- Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
- Quantum Zeno dynamics: mathematical and physical aspects
- Quantum Computing Using Single Photons and the Zeno Effect
- Quantum Logic Operations Using Single Photons and the Zeno Effect
- Quantum logarithmic Sobolev inequalities and rapid mixing
- Zeno effect for quantum computation and control
- Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
- Purification through Zeno-like Measurements
- Preparation and Entanglement Purification of Qubits through Zeno-like Measurements
- Quantum Zeno Dynamics from General Quantum Operations
- Product formula related to quantum Zeno dynamics
- Passive states optimize the output of bosonic Gaussian quantum channels
- Unbounded generators of dynamical semigroups
- Quantum Error Correction in the Zeno Regime
- Quantum Zeno effect generalized
- Product formulas in the framework of mean ergodic theorems
- Quadratic Open Quantum Harmonic Oscillator