Academic Journal
Photonic interlacing architectures for learning discrete linear unitaries
| Τίτλος: | Photonic interlacing architectures for learning discrete linear unitaries |
|---|---|
| Συγγραφείς: | Markowitz, M., Miri, M.-A., Ovchinnikov, A., Zelaya, K. |
| Συνεισφορές: | Air Force Office of Scientific Research, City University of New York, Alfred P. Sloan Foundation, National Science Foundation |
| Πηγή: | Physical Review Research ; volume 7, issue 3 ; ISSN 2643-1564 |
| Στοιχεία εκδότη: | American Physical Society (APS) |
| Έτος έκδοσης: | 2025 |
| Περιγραφή: | Recent investigations suggest that the discrete linear unitary group can be represented by interlacing a finite sequence of diagonal phase operations with an intervening unitary operator. However, despite rigorous numerical justifications, no formal proof has been provided. Here, we show that elements of can be decomposed into a sequence of -parameter phases alternating with one-parameter propagators of a lattice Hamiltonian. The proof is based on building a Lie group by alternating these two operators and showing its completeness to represent for a finite number of layers. This is numerically verified by using Haar random matrices as targets, showing a convergence for exactly layers. As a specific application, we propose an integrated all-optical logic gate device that performs OR, NAND, XOR, and XAND tasks within a lossless and passive optical circuit design. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Γλώσσα: | English |
| DOI: | 10.1103/4vth-6n7q |
| DOI: | 10.1103/4vth-6n7q/fulltext |
| Διαθεσιμότητα: | https://doi.org/10.1103/4vth-6n7q https://link.aps.org/article/10.1103/4vth-6n7q http://harvest.aps.org/v2/journals/articles/10.1103/4vth-6n7q/fulltext |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edsbas.6ED166F9 |
| Βάση Δεδομένων: | BASE |
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