Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture
In this article, I start with a general presentation of the ideas behind sigma models and higher gauge theories and introduce the possibility of a higher entanglement structure. Using a higher categorial interpretation of entanglement involving gauge theories and <inline-formula><math xmlns...
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MDPI AG
2024-09-01
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| Series: | Quantum Reports |
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| author | Andrei T. Patrascu |
| author_facet | Andrei T. Patrascu |
| author_sort | Andrei T. Patrascu |
| collection | DOAJ |
| description | In this article, I start with a general presentation of the ideas behind sigma models and higher gauge theories and introduce the possibility of a higher entanglement structure. Using a higher categorial interpretation of entanglement involving gauge theories and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-models instead of qubits, one recovers T-duality as a form of ancilla aided entanglement generation. This opens the way towards new dualities in gauge theories and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-models produced by means of analogies with quantum circuits of various types. |
| format | Article |
| id | doaj-art-c892cc67a66e4bd38c45d344dfc3cf8f |
| institution | OA Journals |
| issn | 2624-960X |
| language | English |
| publishDate | 2024-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj-art-c892cc67a66e4bd38c45d344dfc3cf8f2025-08-20T01:55:49ZengMDPI AGQuantum Reports2624-960X2024-09-016349350810.3390/quantum6030033Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial ConjectureAndrei T. Patrascu0FAST Foundation for the Acceleration of Scientific Transformation, Destin, FL 32541, USAIn this article, I start with a general presentation of the ideas behind sigma models and higher gauge theories and introduce the possibility of a higher entanglement structure. Using a higher categorial interpretation of entanglement involving gauge theories and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-models instead of qubits, one recovers T-duality as a form of ancilla aided entanglement generation. This opens the way towards new dualities in gauge theories and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-models produced by means of analogies with quantum circuits of various types.https://www.mdpi.com/2624-960X/6/3/33quantum entanglementT-dualityhigher entanglement |
| spellingShingle | Andrei T. Patrascu Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture Quantum Reports quantum entanglement T-duality higher entanglement |
| title | Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture |
| title_full | Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture |
| title_fullStr | Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture |
| title_full_unstemmed | Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture |
| title_short | Ancilla-Mediated Higher Entanglement as T-Duality, a Categorial Conjecture |
| title_sort | ancilla mediated higher entanglement as t duality a categorial conjecture |
| topic | quantum entanglement T-duality higher entanglement |
| url | https://www.mdpi.com/2624-960X/6/3/33 |
| work_keys_str_mv | AT andreitpatrascu ancillamediatedhigherentanglementastdualityacategorialconjecture |