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arXiv:1312.5833 · Journal of the Optical Society of America B

Single and double changes of entanglement

NASSER METWALLY

Published Mar 4, 2014• 15 citations
arXivHTMLPDF

Abstract

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.

DOI
10.1364/josab.31.000691

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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.
Some properties of multi-qubit systems interacting with noisy environment is discussed. The amount of the survival entanglement is quantified for the GHZ and W-states. It is shown that the entanglement decay depends on the noise type ( correlated or non-correlated), number of interacted qubits with the environment and the initial state which passes through this noisy environment. In general, the GHZ is more fragile than the W-state. The phenomena of entanglement sudden death appears only for non-correlated 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.
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.
We investigate the change of entanglement for distributing an arbitrarily entangled two-qubit pure state via three typical kinds of noisy quantum channels—amplitude damping, phase damping and depolarizing quantum channels. We find that for one-qubit transmission, the output distant entanglement (measured by concurrence) reduces proportionately with respect to its initial amount, and the entanglement-decay ratio is determined only by the noisy characteristics of quantum channels. For two-qubit transmission, the rule of the entanglement change is complex. For phase damping quantum channels, the four Bell states and are all the optimal entanglement-distribution (OED) input states. But for amplitude damping quantum channels, only |ψ ± ⟩ are the OED input. For depolarizing quantum channels, and in the case of symmetrical quantum channels, the four Bell states are still the OED input. We also discuss the problem of entanglement sudden death (ESD) and find that for all the three types of quantum channels, ESD can be found.