About this Research Topic
As one of the primary properties which distinguishes quantum mechanics from classical, entanglement lies at the centre of quantum information technology and science. The successful execution of a large number of quantum information processes such as quantum key distribution, quantum metrology, and quantum teleportation, is highly dependent on the generation of entangled states exhibiting high-fidelity. Additionally, entanglement is becoming an increasingly important component in the study of modern theoretical physics. As in quantum many-body physics and condensed matter physics, the spatial and temporal behaviours exhibited by entanglement are indicative of different phases. Therefore, the development of efficient and effective protocols to detect and quantify entanglement in real-world systems is of significant importance in both practical applications and theoretical studies.
Although it has been shown that entangled states occupy almost all of whole state space, the detection and quantification of entanglement for a given state remains a resource-intensive task, even if the form of this state is known. There are two primary aspects which limit the efficiency of this task. Firstly, the geometry exhibited by each entangled state is hard to characterise. Determining whether a density matrix is entangled or not has proven to be a significant challenge. Secondly, the dimensions of real-world quantum systems typically scale exponentially with system size, making it difficult to determine any information relating to the unknown states. Many existing approaches such as; entanglement witnesses, positive map criteria for entanglement detection, and resource-theory-based entanglement quantification protocols, are either ineffective or impractical.
Therefore, a pertinent issue is the design of protocols which exhibit a high detection capability based on state-of-the-art quantum devices and techniques. One possible approach is to convert powerful yet, currently, impractical protocols, such as the PPT criterion, into several weaker forms which may then be implemented with increased efficiency. Furthermore, in practical scenarios, the target states may exhibit several properties already known to the researchers, such as symmetry. Utilizing any prior knowledge can significantly reduce the difficulties of entanglement detection.
The primary scope of this Research Topic is entanglement detection and quantification, however, other experimental and theoretical studies concerning quantum entanglement are also welcomed. Topics of particular interest include, but not limited to, the following fields:
- The design of novel entanglement detection and quantification protocols
- Entanglement detection in various systems, in particular; Fermion and Boson systems
- The application of novel mathematical and physical tools in entanglement detection and quantification, particularly SDP and ML
- Experimental reports which concern entanglement detection and quantification
- Theoretical studies of various configurations of quantum correlation such as; entanglement, steering, and nonlocality
- Theoretical analysis of entanglement criteria, including their complexities and detection capabilities
- The discovery of novel applications of entanglement
- The discovery of novel phenomena concerning entanglement
Although it has been shown that entangled states occupy almost all of whole state space, the detection and quantification of entanglement for a given state remains a resource-intensive task, even if the form of this state is known. There are two primary aspects which limit the efficiency of this task. Firstly, the geometry exhibited by each entangled state is hard to characterise. Determining whether a density matrix is entangled or not has proven to be a significant challenge. Secondly, the dimensions of real-world quantum systems typically scale exponentially with system size, making it difficult to determine any information relating to the unknown states. Many existing approaches such as; entanglement witnesses, positive map criteria for entanglement detection, and resource-theory-based entanglement quantification protocols, are either ineffective or impractical.
Therefore, a pertinent issue is the design of protocols which exhibit a high detection capability based on state-of-the-art quantum devices and techniques. One possible approach is to convert powerful yet, currently, impractical protocols, such as the PPT criterion, into several weaker forms which may then be implemented with increased efficiency. Furthermore, in practical scenarios, the target states may exhibit several properties already known to the researchers, such as symmetry. Utilizing any prior knowledge can significantly reduce the difficulties of entanglement detection.
The primary scope of this Research Topic is entanglement detection and quantification, however, other experimental and theoretical studies concerning quantum entanglement are also welcomed. Topics of particular interest include, but not limited to, the following fields:
- The design of novel entanglement detection and quantification protocols
- Entanglement detection in various systems, in particular; Fermion and Boson systems
- The application of novel mathematical and physical tools in entanglement detection and quantification, particularly SDP and ML
- Experimental reports which concern entanglement detection and quantification
- Theoretical studies of various configurations of quantum correlation such as; entanglement, steering, and nonlocality
- Theoretical analysis of entanglement criteria, including their complexities and detection capabilities
- The discovery of novel applications of entanglement
- The discovery of novel phenomena concerning entanglement
Keywords: Quantum Entanglement, Quantum Correlation, Entanglement Witness, Positive Map, Genuine Multipartite Entanglement, Entanglement Structure, Resource Theory, LOCC, Entanglement Distillation, EPR Pair
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