Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese journal of atomic and molecular physics

Entanglement for the Coupled C-H Stretch and Bend Vibrations in CH(CH3)3

Chunming Cheng, Xi-Wen Hou

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The dynamical entanglement for the coupled C-H stretch and bend vibrations in CH (CF3)3 is studied in terms of the reduced linear entropy for various polyads N and initial states. It is shown that for a given polyad N≥3, a maximum entanglement for state |0, 2N〉 can be obtained with a shorter time, and the entanglement oscillatory frequency for state |N, 0〉 is shorter than that for state |0, 2N〉, where the amplitude of the former state is larger than that of the later one.

Related papers

Dynamical entanglement for Fermi coupled stretching and bending modes

Xi-Wen Hou, Cheng Chuan-Ming

The dynamical entanglement for Fermi coupled C-H stretch and bend vibrations in molecule CHD 3 is studied in terms of two negativities and the reduced von Neumann entropy, where initial states are taken to be direct products of photon-added coherent states on each mode. It is demonstrated that the negativity defined by the sum of negative eigenvalues of the partial transpose of density matrices is positively correlated with the von Neumann entropy. The entanglement difference between photon-added coherent states and usual coherent states is discussed as well.

Chinese Physics B•Jul 1, 2009•6 citations

QUANTUM ENTANGLEMENT OF COUPLED ANHARMONIC STRETCHES IN MOLECULES H 2 O AND SO 2

Xi-Wen Hou, Jinghua Chen, Ming-Fang Wan +1 more

Quantum entanglement of anharmonic stretches in molecules H 2 O and SO 2 is studied in terms of the reduced-density linear entropy with initial squeezed vacuum states and thermal states. It is shown that the entropy of both kinds of initial states with a small amplitude [Formula: see text] is quasi-periodic with the period of thermal states being larger than that of squeezed vacuum states for each molecule. The entropy evolution of both kinds of initial states with a larger amplitude [Formula: see text] is irregular. For each kind of initial state, the frequency of oscillation of the entropy for SO 2 is larger than that for H 2 O . That can be useful in quantum computing based on vibrational states in H 2 O and SO 2.

Modern Physics Letters B•May 19, 2007•0 citations

Dynamical entanglement of vibrations in an algebraic model

Xi-Wen Hou, Jing-Hua Chen, Zhong-Qi Ma

The dynamical entanglement of two stretching vibrations of triatomic molecules ${\mathrm{H}}_{2}\mathrm{O}$ and $\mathrm{S}{\mathrm{O}}_{2}$ in an algebraic model is studied in terms of the reduced-density linear entropy with initial states that are, respectively, taken to be the product of Fock states and coherent states on each bond. It is shown that the entanglement of initial states with local-mode character is regular while that of states with normal-mode character is irregular. For initial coherent states with a small amplitude, the regularity of the entanglement with a long period appears in $\mathrm{S}{\mathrm{O}}_{2}$ and ``classical'' beat phenomena of the entanglement happens in ${\mathrm{H}}_{2}\mathrm{O}$, where the period of the beat is longer. Those long periods of the entanglement indicate that the entanglement sustains long enough so that quantum information process and quantum computation could be accomplished.

Physical Review A•Dec 28, 2006•33 citations

Entanglement and Energy for Vibrationally Localized States in Molecule CS2

Zixin Yang, Xing Quan Shen, Xi-Wen Hou

The dynamics of quantum entanglement described by the von Neumann entropy is studied for the localized states of Fermi-resonance coupling vibrations in molecule CS2, where the interacting energy between the stretching and the bending modes is considered to establish a connection between entanglement and energy. It is shown that entanglement reveals dominant anti-correlation with the interacting energy for the stretch-localized state, while that exhibits dominantly positive correlation for the bend-localized state. The entanglement and the energy for the dislocalized states are discussed as well. Those are useful for molecular quantum computing and quantum information in high dimensional states.

Chinese Journal of Chemical Physics•Jun 1, 2015•1 citation

Dynamics of Bipartite Vibrational Entanglement under the Inherent Decoherence Process in $H_2O$

Yuanyuan Cheng, Liang-Jun Zhai

In present study, the dynamics of stretching-stretching and stretching-bending entanglement in $H_2O$ are studied with considering the inherent decoherence process. It is shown that the excitation in the bending vibration can lead to the decrease of the generation rate of stretching-stretching entanglement for the non-superposed state and the degeneration of entanglement for the initial entangled states. For specific initial entangled states, the stretching-stretching entanglement can live for a long time, and the correspondence between energy transfer and entanglement is still maintained for the initial local mode states. For the stretching-bending vibrations, the stretching-bending entanglement is much lower than the stretching-stretching vibration, and the degeneration rate of stretching-bending entanglement is higher than that of the stretching-stretching entanglement. The excitation in the remaining stretching vibration can induce a higher degree of stretching-bending entanglement.

The Journal of Atomic and Molecular Sciences•Jul 1, 2016•2 citations

Lie-algebraic Approach to Entanglement of Molecular Vibrations

Hairan Feng

In this paper we introduced Lie-algebraic approach to entanglement of stretch vibrations in symmetrical triatomic molecules and derived the linear entropy and the Von Neumann entropy.Then we discussed the dynamical properties of entanglement for initial states using the method.

Journal of Jining University•Jan 1, 2011•0 citations
The dynamical entanglement for the coupled C-H stretch and bend vibrations in CH (CF3)3 is studied in terms of the reduced linear entropy for various polyads N and initial states. It is shown that for a given polyad N≥3, a maximum entanglement for state |0, 2N〉 can be obtained with a shorter time, and the entanglement oscillatory frequency for state |N, 0〉 is shorter than that for state |0, 2N〉, where the amplitude of the former state is larger than that of the later one.
The dynamical entanglement for Fermi coupled C-H stretch and bend vibrations in molecule CHD 3 is studied in terms of two negativities and the reduced von Neumann entropy, where initial states are taken to be direct products of photon-added coherent states on each mode. It is demonstrated that the negativity defined by the sum of negative eigenvalues of the partial transpose of density matrices is positively correlated with the von Neumann entropy. The entanglement difference between photon-added coherent states and usual coherent states is discussed as well.
Quantum entanglement of anharmonic stretches in molecules H 2 O and SO 2 is studied in terms of the reduced-density linear entropy with initial squeezed vacuum states and thermal states. It is shown that the entropy of both kinds of initial states with a small amplitude [Formula: see text] is quasi-periodic with the period of thermal states being larger than that of squeezed vacuum states for each molecule. The entropy evolution of both kinds of initial states with a larger amplitude [Formula: see text] is irregular. For each kind of initial state, the frequency of oscillation of the entropy for SO 2 is larger than that for H 2 O . That can be useful in quantum computing based on vibrational states in H 2 O and SO 2.
The dynamical entanglement of two stretching vibrations of triatomic molecules H2O{\mathrm{H}}_{2}\mathrm{O}H2​O and SO2\mathrm{S}{\mathrm{O}}_{2}SO2​ in an algebraic model is studied in terms of the reduced-density linear entropy with initial states that are, respectively, taken to be the product of Fock states and coherent states on each bond. It is shown that the entanglement of initial states with local-mode character is regular while that of states with normal-mode character is irregular. For initial coherent states with a small amplitude, the regularity of the entanglement with a long period appears in SO2\mathrm{S}{\mathrm{O}}_{2}SO2​ and ``classical'' beat phenomena of the entanglement happens in H2O{\mathrm{H}}_{2}\mathrm{O}H2​O, where the period of the beat is longer. Those long periods of the entanglement indicate that the entanglement sustains long enough so that quantum information process and quantum computation could be accomplished.
The dynamics of quantum entanglement described by the von Neumann entropy is studied for the localized states of Fermi-resonance coupling vibrations in molecule CS2, where the interacting energy between the stretching and the bending modes is considered to establish a connection between entanglement and energy. It is shown that entanglement reveals dominant anti-correlation with the interacting energy for the stretch-localized state, while that exhibits dominantly positive correlation for the bend-localized state. The entanglement and the energy for the dislocalized states are discussed as well. Those are useful for molecular quantum computing and quantum information in high dimensional states.
Dynamics of Bipartite Vibrational Entanglement under the Inherent Decoherence Process in H2OH_2OH2​O
In present study, the dynamics of stretching-stretching and stretching-bending entanglement in H2OH_2OH2​O are studied with considering the inherent decoherence process. It is shown that the excitation in the bending vibration can lead to the decrease of the generation rate of stretching-stretching entanglement for the non-superposed state and the degeneration of entanglement for the initial entangled states. For specific initial entangled states, the stretching-stretching entanglement can live for a long time, and the correspondence between energy transfer and entanglement is still maintained for the initial local mode states. For the stretching-bending vibrations, the stretching-bending entanglement is much lower than the stretching-stretching vibration, and the degeneration rate of stretching-bending entanglement is higher than that of the stretching-stretching entanglement. The excitation in the remaining stretching vibration can induce a higher degree of stretching-bending entanglement.