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Chinese Physics B

Entanglement dynamics of two-qubit systems in different quantum noises

潘长宁, Jian-Shu Fang, 方见树

Published Feb 1, 2011• 7 citations
Publisher

Abstract

The entanglement dynamics of two-qubit systems in different quantum noises are investigated by means of the operator-sum representation method. We find that, except for the amplitude damping and phase damping quantum noise, the sudden death of entanglement is always observed in different two-qubit systems with generalized amplitude damping and depolarizing quantum noise.

DOI
10.1088/1674-1056/20/2/020304

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The entanglement dynamics of two-qubit systems in different quantum noises are investigated by means of the operator-sum representation method. We find that, except for the amplitude damping and phase damping quantum noise, the sudden death of entanglement is always observed in different two-qubit systems with generalized amplitude damping and depolarizing quantum noise.
Strangeness of quantum physical laws is very fascinating aspect for all of us. In various composite quantum systems it was found that the finite time disentanglement called Entanglement sudden death takes place.Entangalment sudden death is a very well known phenomena in which qubits die after in a particular time. In our case we have studied two qubit quantum system as maximally entangled systems. We can expand it for many qubit systems also. We examine the behaviour of these systems under amplitude damping noise. The other environmental noises such as phase damping and depolarisation were also studied. All these noises were applied on single qubit as well as on both the qubits. Class of X-states has been used for the study.
In this paper, the origin of disentanglement for two specific sub-classes of [Formula: see text]-states namely maximally nonlocal mixed states (MNMSs) and maximally entangled mixed states (MEMSs) is investigated analytically for a physical system consisting of two spatially separated qubits interacting with a common vacuum bath. The phenomena of entanglement sudden death (ESD) and the entanglement sudden birth (ESB) are observed, but the characteristics of ESD and ESB are found to be different for the case of two-photon coherence and single photon coherence states. The role played by initial coherence for the underlying entanglement dynamics is investigated. Further, the entanglement dynamics of MNMSs and MEMSs under different environmental noises namely phase damping, amplitude damping and random telegraph noise (RTN) noise with respect to the decay and revival of entanglement is analyzed. It is observed that the single photon coherence states are more robust against the sudden death of entanglement, indicating the usability of such states in the development of technologies for the practical implementation of quantum information processing tasks.
In this paper, we study entanglement dynamics of a two-qubit extended Werner-like state locally interacting with independent noisy channels, i.e., amplitude damping, phase damping, and depolarizing channels. We show that the purity of initial entangled state has direct impacts on the entanglement robustness in each noisy channel. That is, if the initial entangled state is prepared in mixed instead of pure form, the state may exhibit entanglement sudden death (ESD) and/or be decreased for the critical probability at which the entanglement disappear.
This study calculates the evolution of local quantum uncertainty (LQU) in open quantum systems under various noise conditions, including amplitude damping, depolarizing, phase damping, and their combinations. Using the operator-sum representation, we analyze the behavior of LQU for a quantum state and reveal distinct patterns of LQU changes under different noise types. Our results show that while quantum entanglement often experiences sudden death, LQU exhibits more resilience, with abrupt changes observed under specific noise combinations. Notably, we find that phase damping noise, which induces random phase fluctuations without energy loss, leads to unique behaviors in LQU. This work provides novel insights into the robustness of quantum states against noise, highlighting the importance of distinguishing between different noise mechanisms in quantum information processing. Our findings contribute to the development of strategies for mitigating noise effects in quantum communication and computing.
Decoherence due to the unwanted interaction between a quantum system and environment leads to the degradation of quantum coherence. In particular, for an entangled state, decoherence makes a loss of entanglement and Bell nonlocality known as entanglement sudden death (ESD), and Bell nonlocality sudden death (BNSD). Here, we theoretically investigate the entanglement and Bell nonlocality of a bipartite entangled state under three types of decoherence, amplitude damping, phase damping, and depolarizing. Our result provides the bound of decoherence strength that does not lose the entanglement and Bell nonlocality. In addition, we find two interesting features. One is that the entanglement can survive even though one of the entangled qubits is affected by a large strength of decoherence if the other qubit is affected by a small enough strength of decoherence except for the depolarizing. The second one is that when a specific form of entangled state is under amplitude damping, the Bell nonlocality shows an asymmetric behavior respect to the decoherence strengths on each qubit. Our work provides comprehensive information on ESD and BNSD for the bipartite entangled state which will be useful to implement quantum information processing in the presence of decoherence.
The entanglement behavior for different classes of two-qubit systems passing through a generalized amplitude damping channel is discussed. The phenomena of sudden single and double changes and the sudden death of entanglement are reported for identical and nonidentical noise. It is shown that, for less entangled states, these phenomena appear for small values of channel strength. The effect of the channel can be frozen for these classes as one increases the channel strength. Maximum entangled states are more fragile than partial entangled states, where the entanglement decays very fast. However, one cannot freeze the effect of the noise channel for systems initially prepared in maximum entangled states. The decay rate of entanglement for systems affected by nonidentical noise is much larger than that affected by identical noise.