The Role of non-Markovian Noise in Quantum Information Processing Tasks

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Background

Quantum noise can primarily be classified as either Markovian or non-Markovian. Quantum non-Markovianity (QNM) has attracted significant interest over the past few decades, particularly in the field of quantum information processing. It is possible to define QNM in several ways. Understanding the role of non-Markovianity in quantum information tasks, such as teleportation, quantum key distribution (QKD), and quantum computation, is of particular interest. Advances in this area will significantly improve the security of quantum communication and related technologies.

It is generally accepted that quantum noise is detrimental to information processing when using quantum systems. However, these detrimental effects are able to be suitably mitigated through the application of QNM. In addition, the field relating to quantum thermal machines, despite attracting significant attention in recent years, is still largely unexplored and requires a significant number of studies to not only reveal the advantages and limitations when compared to classical machines, but also to enrich the field of quantum thermodynamics. A consistent thermodynamic formalism of quantum thermal machines would facilitate an increased understanding of the definitions of thermodynamic observables which are applied in the developing field of quantum thermodynamics.

Instances where non-Markovianity, and quantum noise in general, is shown to be advantageous require further investigation. For example, in the case of QKD, it was found that the introduction of quantum noise (both Markov/non-Markov and unital/non-unital) into the communication channel was detrimental. Moreover, even in cases where noise was deliberately introduced prior to the decoding stage, unital noise was found to be detrimental for ping-pong based QKD protocols under specific attack conditions. Interestingly, the question of a resource theory for non-Markovianity continues to be debated, as it is intrinsically linked to the definition of QNM. In this respect, we observed that QNM does not aid in the cases of noisy Grover searches on a star graph under generalized percolation.

It is widely accepted that the role of quantum noise, either Markov or non-Markov, in the context of quantum information processing is not yet fully understood. There remains significant work to be done in understanding the technological advantages that QNM can provide. It would, therefore, be pertinent to explore which key aspects of quantum tasks benefit from QNM. Conversely, it is also important to understand the situations where QNM imparts no beneficial effects and why.

The field of non-Markovian phenomena and its application in Quantum Information Processing provides many fascinating opportunities but remains a challenging task. Overcoming these challenges requires significant developments in a diverse range of domains across quantum statistical mechanics and impacts fields including; quantum optics, quantum communication and computation, quantum thermodynamics, quantum metrology and quantum cryptography. These advances are expected to influence the development of various quantum technologies. To do so requires an understanding of non-Markovian noise in various quantum information processing applications. This is a non-trivial task. Contributions to this Research Topic should focus on elucidating the aforementioned situation. Here, the goal would be to invite researchers to contribute work across a diverse range of topics within the broad framework outlined above.

Authors are encouraged to submit their latest research findings within the aforementioned domain. This covers a diverse range of topics in quantum information and optics including; quantum thermodynamics, metrology, communication, and computation, as well as persisting issues. A primary aim would be to attract research within the field of quantum technology and the submissions in this area are particularly encouraged.

Research Topic Research topic image

Keywords: Quantum non-Markovian, Quantum Key Distribution, Quantum Thermodynamics, Quantum Computing, Quantum Technology

Important note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.

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