Quantum fidelity for Gaussian states describing the evolution of open systems

Assuming the Born-Markov approximation, we study the evolution of quantum fidelity in asymmetric systems consisting of two and three-mode independent oscillators interacting with a thermal bath. To this end, considering the Penning trap coherent states as the initial states of the system, we have studied the evolution of the quantum fidelity as a function of the parameters of the system, the environment and the initial state, in the framework of open systems theory. It is observed that fidelity is a decreasing function of the temperature and dissipation coefficient for both two and three-mode states. However, for the two-mode state, the fidelity is an oscillating function of time but a decreasing one in the low values of the magnetic field. In the case of a three-mode state, although the fidelity decreases with the magnetic field, dissipation coefficient and temperature, it is an irregular function of the asymmetric coefficient.

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Quantum Fidelity for Arbitrary Gaussian States

Physical Review Letters ◽

10.1103/physrevlett.115.260501 ◽

2015 ◽

Vol 115 (26) ◽

Cited By ~ 81

Author(s):

Leonardo Banchi ◽

Samuel L. Braunstein ◽

Stefano Pirandola

Keyword(s):

Gaussian States ◽

Quantum Fidelity

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Entanglement Generation and Evolution in Open Quantum Systems

Open Systems & Information Dynamics ◽

10.1142/s1230161209000153 ◽

2009 ◽

Vol 16 (02n03) ◽

pp. 205-219 ◽

Cited By ~ 26

Author(s):

Aurelian Isar

Keyword(s):

Time Evolution ◽

Open Systems ◽

Open Quantum Systems ◽

Continuous Variable ◽

Harmonic Oscillators ◽

Input State ◽

Entanglement Generation ◽

Gaussian States ◽

Gaussian Input ◽

Necessary And Sufficient

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we study the continuous variable entanglement for a system consisting of two independent harmonic oscillators interacting with a general environment. We solve the Kossakowski-Lindblad master equation for the time evolution of the considered system and describe the entanglement in terms of the covariance matrix for an arbitrary Gaussian input state. Using Peres–Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we show that for certain values of diffusion and dissipation coefficients describing the environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation, entanglement sudden death or a periodic collapse and revival of entanglement take place. We analyze also the time evolution of the logarithmic negativity, which characterizes the degree of entanglement of the quantum state.

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Optimal measurements for quantum fidelity between Gaussian states and its relevance to quantum metrology

Physical Review A ◽

10.1103/physreva.100.012323 ◽

2019 ◽

Vol 100 (1) ◽

Cited By ~ 8

Author(s):

Changhun Oh ◽

Changhyoup Lee ◽

Leonardo Banchi ◽

Su-Yong Lee ◽

Carsten Rockstuhl ◽

...

Keyword(s):

Quantum Metrology ◽

Gaussian States ◽

Optimal Measurements ◽

Quantum Fidelity

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MODELLING AND CONTROL OF OPEN SYSTEMS

Engineering Research technical reports ◽

10.32426/engresv7n1-001 ◽

2016 ◽

Vol 7 (1) ◽

pp. 1-19

Author(s):

Neto José Alves da Silva ◽

◽

Giacaglia Giorgio Eugenio Oscare ◽

Lamas Wendell de Queiroz ◽

Bargos Fabiano Fernandes ◽

...

Keyword(s):

Open Systems ◽

And Control

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Phase equilibria in partially open systems under pressure: the decomposition of stoichiometric GeO2 oxide

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0173.200312f.1359 ◽

2003 ◽

Vol 173 (12) ◽

pp. 1359 ◽

Cited By ~ 3

Author(s):

Vadim V. Brazhkin ◽

Roman N. Voloshin ◽

A.G. Lyapin ◽

Svetlana V. Popova

Keyword(s):

Phase Equilibria ◽

Open Systems

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Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market

Real Estate Management and Valuation ◽

10.2478/remav-2013-0026 ◽

2013 ◽

Vol 21 (3) ◽

pp. 51-61 ◽

Cited By ~ 7

Author(s):

Mirosław Belej

Keyword(s):

Real Estate ◽

Catastrophe Theory ◽

Open Systems ◽

Real Estate Market ◽

Sensitivity Threshold ◽

State Variables ◽

The Real ◽

The Real Estate ◽

The Real Estate Market ◽

External Stimuli

Abstract The real estate market is an open system, which implies that it is able to exchange signals with other open systems and dynamic systems. The evolution of a market system over time can be described mathematically. If the system's sensitivity threshold to external stimuli is exceeded, it becomes destabilized and moves from a near-balanced state to a state that is far from equilibrium. Those dynamic processes often induce key changes in the system's trajectory of evolution. In search of equilibrium, the system becomes transformed in a process of discontinuous and discrete changes in state variables. The above statement constitutes the research hypothesis in this article. In this study, an attempt was made to develop a mathematical model for visualizing the evolutionary path of the real estate market in the form of continuous changes interrupted by discontinuous changes. The qualitative transformation of the system will be evaluated with the use of the catastrophe theory.

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Regioselective Gas-Phase n-Butane Transfer Dehydrogenation via Silica-Supported Pincer-Iridium Complexes

10.26434/chemrxiv.12885491.v1 ◽

2020 ◽

Author(s):

Boris Sheludko ◽

Cristina Castro ◽

Chaitanya Khalap ◽

Thomas Emge ◽

Alan Goldman ◽

...

Keyword(s):

Gas Phase ◽

Active Site ◽

Lower Cost ◽

Open Systems ◽

Iridium Complexes ◽

Terminal Olefin ◽

Molecular Precursors ◽

Sterically Demanding ◽

Olefin Production ◽

Steam Cracking

Abstract: The production of olefins via on-purpose dehydrogenation of alkanes allows for a more efficient, selective and lower cost alternative to processes such as steam cracking. Silica-supported pincer-iridium complexes of the form [(≡SiO-R4POCOP)Ir(CO)] (R4POCOP = κ3-C6H3-2,6-(OPR2)2) are effective for acceptorless alkane dehydrogenation, and have been shown stable up to 300 °C. However, while solution-phase analogues of such species have demonstrated high regioselectivity for terminal olefin production under transfer dehydrogenation conditions at or below 240 °C, in open systems at 300 °C, regioselectivity under acceptorless dehydrogenation conditions is consistently low. In this work, complexes <a>[(≡SiO-tBu4POCOP)Ir(CO)] </a>(1) and [(≡SiO-iPr4PCP)Ir(CO)] (2) were synthesized via immobilization of molecular precursors. These complexes were used for gas-phase butane transfer dehydrogenation using increasingly sterically demanding olefins, resulting in observed selectivities of up to 77%. The results indicate that the active site is conserved upon immobilization.

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