×

Quantum entanglement and encoding algorithm. (English) Zbl 1530.81026

Summary: Entanglement is a resource for quantum computation and information tasks. It has increasingly become clear that entanglement may be brought forth in combination of concepts as “(the) Animal Acts” or “Animal (eats) Food” rather than being unique to micro-physical systems like photons or electrons. We extend the approach to the combination of three concepts which determine non-classical statistical correlations. Moreover, we introduce a new vector encoding algorithm that takes entanglement into account.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science)
81P68 Quantum computation
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
92D50 Animal behavior
62H20 Measures of association (correlation, canonical correlation, etc.)
91E30 Psychophysics and psychophysiology; perception
Full Text: DOI

References:

[1] Dalla Chiara, M.L., Giuntini, R., Leporini, R., Sergioli, G.: Quantum Computation and Logic. How quantum computers have inspired logical investigations. Trends Logic. Springer, Zurich, 48 1-178. ISBN 978-3-030-04470-1 (2018) · Zbl 1530.81002
[2] Leporini, R., Holistic and Compositional Logics Based on the Bertini Gate, Found. Sci., 27, 1, 57-75 (2022) · Zbl 1492.81022 · doi:10.1007/s10699-020-09703-y
[3] Leporini, R., Quantum uncertainties and holism seem to render irrelevant qudit-semantics, Entropy, 23, 6, 735 (2021) · doi:10.3390/e23060735
[4] Dalla Chiara, ML; Giuntini, R.; Leporini, R.; Sergioli, G., A first-order epistemic quantum computational semantics with relativistic-like epistemic effects, Fuzzy Sets Syst., 298, 69-90 (2015) · Zbl 1376.81017 · doi:10.1016/j.fss.2015.09.002
[5] Aerts, D., Aerts Arguëlles, J., Beltran, L., Geriente, S., Sozzo, S.: Entanglement in Cognition violating Bell inequalities beyond Cirel’son’s bound. arXiv:2102.03847v1 (2021), 1-22.doi:10.48550/arXiv:2102.03847
[6] Aerts, D.; Sozzo, S., Quantum structure in cognition: Why and how concepts are entangled, Lect. Notes Comput. Sci., 7052, 116-127 (2011) · doi:10.1007/978-3-642-24971-6_12
[7] Aerts, D.; Sozzo, S., Quantum entanglement in concept combinations, Int. J. Theor. Phys., 53, 3587-3603 (2014) · Zbl 1302.81052 · doi:10.1007/s10773-013-1946-z
[8] Bruza, P.; Kitto, K.; Ramm, B.; Sitbon, L., A probabilistic framework for analysing the compositionality of conceptual combinations, J. Math. Psychol., 67, 26-38 (2015) · Zbl 1354.91136 · doi:10.1016/j.jmp.2015.06.002
[9] Gronchi, G.; Strambini, E., Quantum cognition and Bell’s inequality: a model for probabilistic judgment bias, J. Math. Psychol., 78, 65-75 (2017) · Zbl 1382.91079 · doi:10.1016/j.jmp.2016.09.003
[10] Beltran, L.; Geriente, S., Quantum entanglement in corpuses of documents, Found. Sci., 24, 227-246 (2019) · doi:10.1007/s10699-018-9570-2
[11] Aerts, D.; Beltran, L.; Geriente, S.; Sozzo, S., Quantum-theoretic modeling in computer science, Int. J. Theor. Phys., 60, 710-726 (2021) · Zbl 1523.81019 · doi:10.1007/s10773-019-04155-y
[12] Bell, J., On the Einstein Podolsky Rosen paradox, Physics, 1, 195-200 (1964) · doi:10.1103/PhysicsPhysiqueFizika.1.195
[13] Clauser, JF; Horne, MA; Shimony, A.; Holt, RA, Proposed experiment to test local hidden-variable theories, Phys. Rev. Let., 23, 880-884 (1969) · Zbl 1371.81014 · doi:10.1103/PhysRevLett.23.880
[14] Accardi, L.; Fedullo, A., On the statistical meaning of the complex numbers in quantum mechanics, Nuovo Cimento, 34, 161-172 (1969)
[15] Das, A.; Datta, C.; Agrawal, P., New Bell inequalities for three-qubit pure states, Phys. Lett. A., 381, 47, 3928-3933 (2017) · Zbl 1386.81014 · doi:10.1016/j.physleta.2017.10.023
[16] Heinzerling, B., Strube, M.: BPEmb: tokenization-free Pre-trained subword embeddings in 275 languages. arXiv:1710.02187v1 1-5 (2017) .doi:10.48550/arXiv.1710.02187
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.