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中国科学通报：英文版

Stabilized quantum coherence and remote state preparation in structured environments

Ping Ping, Zhang, Bo Bo, You, Lixiang Lixiang, Cen

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

The radiation decay of a two-level atom could be inhibited within structured environments even under longtime evolution.We investigate the stabilized quantum coherence of composite systems undergoing local dissipation and exploit it further as a resource for remote state preparation.We focus on outputs of quantum states with solely quantum discord(i.e.,without entanglement)and demonstrate that they could be resulted from various initial states providing specific spectral structure of the reservoir.In detail,we elaborate the behavior of stabilized quantum discord and the corresponding fidelity for remote state preparation in connection with structural spectra of Ohmic class reservoir and of photonic band gap mediums.

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The radiation decay of a two-level atom could be inhibited within structured environments even under longtime evolution.We investigate the stabilized quantum coherence of composite systems undergoing local dissipation and exploit it further as a resource for remote state preparation.We focus on outputs of quantum states with solely quantum discord(i.e.,without entanglement)and demonstrate that they could be resulted from various initial states providing specific spectral structure of the reservoir.In detail,we elaborate the behavior of stabilized quantum discord and the corresponding fidelity for remote state preparation in connection with structural spectra of Ohmic class reservoir and of photonic band gap mediums.
We investigate the long-lived quantum coherence of two-level spontaneous emission models within structured environments. The population of the system under the asymptotic non-Markovian dynamics is linked to the spectral density of the reservoir through a general functional relation between them. We figure out explicitly the preservation of quantum coherence, via notions of entanglement and quantum discord, in connection with the spectral parameters of Ohmic class reservoirs, and then show how to achieve them optimally. We expect these results to contribute to reservoir engineering with the aim of enhancing stationary quantum coherence in noisy environments.
We investigate the long-lived quantum coherence in the non-Markovian process of spontaneous decay of a two-qubit system subject to a local environment. The asymptotic population of the qubit is linked to the spectral density of the reservoir through a general functional relation between them. The dissipationless behavior of asymptotic processes, including the steady coherent dynamics with self-sustained oscillations and ultimate persistence of quantum correlations, are elaborated with respect to spectral parameters of the specified reservoirs, e.g., the Ohmic class and the photonic crystal. We expect these results to contribute towards reservoir engineering with the aim of enhancing stationary quantum coherence in noisy environments.
The quantum discord dynamics of two non-coupled two-level atoms independently interacting with their reservoir is studied under two kinds of non-Markovian conditions, namely, an off-resonant case with atomic transition frequency and a photonic band gap. In the first case, the phenomenon of the quantum discord loss and the oscillatory behavior of the quantum discord can occur by changing the detuning quantity and reducing the spectral coupling width for any initial Bell state. Under the second condition, the trapping phenomenon of the quantum discord can be presented by adjusting the width of gap, that is, the quantum discord of two atoms keep a nonzero constant for a long time.
In this work, we study the dynamics of quantum correlation (QC) in terms of quantum discord and its transfer for multiqubit systems in dissipative environments. At first, we investigate the dynamics of bipartite QC contained in a three-qubit system that are initially prepared in an extended W-like state with each qubit coupled to an independent reservoir. Subsequently, we study a realistic quantum network of several remote nodes each of which contains two qubits in contact with a common reservoir. For the simplest case of two nodes, we study the dynamics of QC and its transfer from the initially correlated system to the reservoirs and other degrees of freedom. In both models, we pay particular attention to the independent evolution and transfer of QC without the participation of entanglement when the systems of interest are initially prepared in unentangled states. We also observe the occurrence of sudden changes of quantum discord when the systems are initially in mixed states.
Quantum discord and quantum entanglement are resources in some quantum information processing (QIP) models. However, in recent years, the evidence that separable states or classically correlated states can also accomplish QIP is demonstrated. It provides a useful tool since such states are easier to prepare. Quantum coherence is a measure of non-classical correlation, containing entanglement and discord as a subset. Nowadays, it is of interest whether quantum coherence can act as a resource in QIP independently or not, without the help from quantum discord or entanglement. In this paper, we show that quantum correlated coherence(a measure of coherence with local parts removed) is also a kind of quantum resource. It is the sufficient and necessary resource for quantum remote state preparation and quantum teleportation.
The role played by quantum discord in mixed-state computation is widely debated since, in spite of evidence of its importance in creating quantum advantages, even in the absence of entanglement, there are not direct proofs of its necessity in these computational tasks. Recently, the presence of discord was shown to be necessary and sufficient for remote state preparation for a broad class of quantum channels [Daki\ifmmode \acute{c}\else \'{c}\fi{} et al., Nat. Phys. 8, 666 (2012)]. Here, we show that this property is not universal. There are states whose discord cannot be considered as a quantum resource since it has been produced locally that are useful for remote state preparation, and there are bona fide discordant states that are of no help.