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

arXiv:0908.2520 · Physical Review A

Effects of quantum noises and noisy quantum operations on entanglement and special dense coding

Sylvanus Quek, Ziang Li, Ye Yeo

Published Feb 12, 2010• 23 citations
arXivHTMLPDF

Abstract

We show how noncommuting noises could cause a Bell state ${\ensuremath{\chi}}_{0}$ to suffer entanglement sudden death (ESD). ESD may similarly occur when a noisy operation acts, if the corresponding Hamiltonian and Lindblad operator do not commute. We study the implications of these in special dense coding $\mathcal{S}$. When noises that cause ESD act, we show that ${\ensuremath{\chi}}_{0}$ may lose its capacity for $\mathcal{S}$ before ESD occurs. Similarly, ${\ensuremath{\chi}}_{0}$ may fail to yield information transfer better than classically possible when the encoding operations are noisy, though entanglement is not destroyed in the process.

DOI
10.1103/physreva.81.024302

Related papers

Effects of Pauli channels and noisy quantum operations on standard teleportation

Ye Yeo, Zhe-Wei Kho, Lixian Wang

Quantum noises generated by non-commuting Pauli operators may also cause entanglement sudden death (ESD). In this work, stimulated by this observation, we show how a Pauli- X or - Y gate could also destroy entanglement in a finite time when they are executed in the presence of dephasing noise. Motivated by the fact that they are basic to quantum information processing, we analyze the impact of noisy operations and non-commuting noises on single- and two-qubit teleportation —archetype of quantum communication. By considering the decoherence dynamics during establishment of the channel states and noisy recovery operations, we show that there is a finite lifetime for a standard teleportation to be completed before it loses the quantum advantage over purely classical communication.

Europhysics Letters (EPL)•May 1, 2009•34 citations

Quantum error correction may delay, but also cause, entanglement sudden death

Isabel Sainz, Gunnar G. Bjork

Dissipation may cause two initially entangled qubits to evolve into a separable state in a finite time. This behavior is called entanglement sudden death (ESD). We study to what extent quantum error correction can combat ESD. We find that in some cases quantum error correction can delay entanglement sudden death but in other cases quantum error correction may cause ESD for states that otherwise do not suffer from it. Our analysis also shows that fidelity may not be the best measure to compare the efficiency of different error correction codes since the fidelity is not directly coupled to a state's remaining entanglement.

arXiv:0803.0406•Physical Review A•May 7, 2008•47 citations

Teleportation in the presence of noise

Ye Yeo, Zhe-Wei Kho, Lixian Wang

Non-commuting noises may give rise to entanglement sudden death. By considering the decoherence dynamics during establishment of the channel states and noisy recovery operations, we study further the impact of non-commuting noises on single- and two-qubit teleportation. We show that in the presence of these noises there exists a critical rate of recovery operation below which teleportation will fail.

arXiv:0901.1531•Jan 12, 2009•0 citations

Is composite noise necessary for sudden death of entanglement?

K. O. Yashodamma, Sudha

The finite time disentanglement or entanglement sudden death, when only one part of the composite system is subjected to a single noise, is examined. While it is shown that entanglement sudden death can occur when a part of the entangled mixed state is subjected to either amplitude noise or phase noise, local action of either of them does not cause entanglement sudden death in pure entangled states. In contrast, depolarizing noise is shown to have an ability to cause sudden death of entanglement even in pure entangled states, when only one part of the state is exposed to it. The result is illustrated through the action of different noisy environments individually on a single qubit of the so-called X class of states and an arbitrary two-qubit pure state.

arXiv:1210.3216•Results in Physics•Jan 1, 2013•6 citations

Decoherence-Induced Sudden Death of Entanglement and Bell Nonlocality

Dong-Gil Im, Yoon-Ho Kim

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.

Photonics•Jan 24, 2022•6 citations

Optimal super dense coding over noisy quantum channels

Z. Shadman, Hermann Kampermann, Chiara Macchiavello +1 more

We investigate super dense coding in the presence of noise, i.e. the subsystems of the entangled resource state have to pass a noisy unital quantum channel between the sender and the receiver. We discuss explicitly the case of Pauli channels in an arbitrary dimension and derive the super dense coding capacity (i.e. the optimal information transfer) for some given resource states. For the qubit depolarizing channel, we also optimize the super dense coding capacity with respect to the input state. We show that, below a threshold value of the noise parameter, the super dense coding protocol is optimized by a maximally entangled initial state, while above the threshold it is optimized by a product state. Finally, we provide an example of a noisy channel where non-unitary pre-processing increases the super dense coding capacity, as compared to only unitary encoding.

arXiv:1004.5573•New Journal of Physics•Jul 30, 2010•65 citations
We show how noncommuting noises could cause a Bell state \ensuremathχ0{\ensuremath{\chi}}_{0}\ensuremathχ0​ to suffer entanglement sudden death (ESD). ESD may similarly occur when a noisy operation acts, if the corresponding Hamiltonian and Lindblad operator do not commute. We study the implications of these in special dense coding S\mathcal{S}S. When noises that cause ESD act, we show that \ensuremathχ0{\ensuremath{\chi}}_{0}\ensuremathχ0​ may lose its capacity for S\mathcal{S}S before ESD occurs. Similarly, \ensuremathχ0{\ensuremath{\chi}}_{0}\ensuremathχ0​ may fail to yield information transfer better than classically possible when the encoding operations are noisy, though entanglement is not destroyed in the process.
Quantum noises generated by non-commuting Pauli operators may also cause entanglement sudden death (ESD). In this work, stimulated by this observation, we show how a Pauli- X or - Y gate could also destroy entanglement in a finite time when they are executed in the presence of dephasing noise. Motivated by the fact that they are basic to quantum information processing, we analyze the impact of noisy operations and non-commuting noises on single- and two-qubit teleportation —archetype of quantum communication. By considering the decoherence dynamics during establishment of the channel states and noisy recovery operations, we show that there is a finite lifetime for a standard teleportation to be completed before it loses the quantum advantage over purely classical communication.
Dissipation may cause two initially entangled qubits to evolve into a separable state in a finite time. This behavior is called entanglement sudden death (ESD). We study to what extent quantum error correction can combat ESD. We find that in some cases quantum error correction can delay entanglement sudden death but in other cases quantum error correction may cause ESD for states that otherwise do not suffer from it. Our analysis also shows that fidelity may not be the best measure to compare the efficiency of different error correction codes since the fidelity is not directly coupled to a state's remaining entanglement.
The finite time disentanglement or entanglement sudden death, when only one part of the composite system is subjected to a single noise, is examined. While it is shown that entanglement sudden death can occur when a part of the entangled mixed state is subjected to either amplitude noise or phase noise, local action of either of them does not cause entanglement sudden death in pure entangled states. In contrast, depolarizing noise is shown to have an ability to cause sudden death of entanglement even in pure entangled states, when only one part of the state is exposed to it. The result is illustrated through the action of different noisy environments individually on a single qubit of the so-called X class of states and an arbitrary two-qubit pure state.
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 super dense coding in the presence of noise, i.e. the subsystems of the entangled resource state have to pass a noisy unital quantum channel between the sender and the receiver. We discuss explicitly the case of Pauli channels in an arbitrary dimension and derive the super dense coding capacity (i.e. the optimal information transfer) for some given resource states. For the qubit depolarizing channel, we also optimize the super dense coding capacity with respect to the input state. We show that, below a threshold value of the noise parameter, the super dense coding protocol is optimized by a maximally entangled initial state, while above the threshold it is optimized by a product state. Finally, we provide an example of a noisy channel where non-unitary pre-processing increases the super dense coding capacity, as compared to only unitary encoding.