Quantum zeno effect of general quantum operations
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...
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sg-ntu-dr.10356-1016892020-09-26T21:54:57Z Quantum zeno effect of general quantum operations Li, Ying. Herrera-Martí, David A. Kwek, Leong Chuan. National Institute of Education Institute of Advanced Studies DRNTU::Science::Physics::Atomic physics::Quantum theory 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. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2014-02-05T08:02:16Z 2019-12-06T20:42:47Z 2014-02-05T08:02:16Z 2019-12-06T20:42:47Z 2013 2013 Journal Article Li, Y., Herrera-Martí, D. A., & Kwek, L. C. (2013). Quantum Zeno effect of general quantum operations. Physical Review A, 88(4), 042321. https://hdl.handle.net/10356/101689 http://hdl.handle.net/10220/18760 10.1103/PhysRevA.88.042321 en 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. application/pdf |
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DRNTU::Science::Physics::Atomic physics::Quantum theory Li, Ying. Herrera-Martí, David A. Kwek, Leong Chuan. Quantum zeno effect of general quantum operations |
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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. |
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National Institute of Education |
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National Institute of Education Li, Ying. Herrera-Martí, David A. Kwek, Leong Chuan. |
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Article |
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Li, Ying. Herrera-Martí, David A. Kwek, Leong Chuan. |
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Li, Ying. |
title |
Quantum zeno effect of general quantum operations |
title_short |
Quantum zeno effect of general quantum operations |
title_full |
Quantum zeno effect of general quantum operations |
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Quantum zeno effect of general quantum operations |
title_full_unstemmed |
Quantum zeno effect of general quantum operations |
title_sort |
quantum zeno effect of general quantum operations |
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2014 |
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https://hdl.handle.net/10356/101689 http://hdl.handle.net/10220/18760 |
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