Operational Interpretation Of The Vacuum And Process Matrices For Identical Particles

Abstract

This work overviews the single-particle two-way communication protocol recently introduced by del Santo and Dakić (dSD), and analyses it using the process matrix formalism. We give a detailed account of the importance and the operational meaning of the interaction of an agent with the vacuum – in particular its role in the process matrix description. Our analysis shows that the interaction with the vacuum should be treated as an operation, on equal footing with all other interactions. This raises the issue of counting such operations in an operational manner. Motivated by this analysis, we apply the process matrix formalism to capped Fock spaces using the framework of second quantisation, in order to characterise protocols with an indefinite number of identical particles.

Featured image: The spacetime diagram of the process corresponding to the del Santo-Dakić protocol.

► BibTeX data

@article{Faleiro2023operational, doi = {10.22331/q-2023-04-20-986}, url = {https://doi.org/10.22331/q-2023-04-20-986}, title = {Operational interpretation of the vacuum and process matrices for identical particles}, author = {Faleiro, Ricardo and Paunkovic, Nikola and Vojinovic, Marko}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {986}, month = apr, year = {2023}<br /> }

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Cited by

[1] Matthias Salzger, “Connecting indefinite causal order processes to composable quantum protocols in a spacetime”, arXiv:2304.06735, (2023).

The above citations are from SAO/NASA ADS (last updated successfully 2023-04-20 15:47:17). The list may be incomplete as not all publishers provide suitable and complete citation data.

Could not fetch Crossref cited-by data during last attempt 2023-04-20 15:47:15: Could not fetch cited-by data for 10.22331/q-2023-04-20-986 from Crossref. This is normal if the DOI was registered recently.

This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

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Operational interpretation of the vacuum and process matrices for identical particles

Abstract

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