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The independent domination number $i(G)$ of a graph $G$ is the minimum cardinality of a maximal independent set of $G$, also called an $i(G)$-set. The $i$-graph of $G$, denoted $\mathscr{I}(G)$, is the graph whose vertices correspond to the $i(G)$-se
Externí odkaz:
http://arxiv.org/abs/2303.08190
The independent domination number $i(G)$ of a graph $G$ is the minimum cardinality of a maximal independent set of $G$, also called an $i(G)$-set. The $i$-graph of $G$, denoted $\mathcal{I}(G)$, is the graph whose vertices correspond to the $i(G)$-se
Externí odkaz:
http://arxiv.org/abs/2303.06299
Autor:
Brewster, R. C.1 rbrewster@tru.ca, Mynhardt, C. M.2 kieka@uvic.ca, Teshima, L. E.2 lteshima@uvic.ca
Publikováno v:
Communications in Combinatorics & Optimization. 2024, Vol. 9 Issue 3, p389-411. 23p.
Autor:
Bois, G., Fillion, P., François, F., Burlot, A., Ali, A. Ben Hadj, Khaware, A., Sanyal, J., Rehm, M., Farges, B., Vinauger, F., Ding, W., Gajšek, A., Tekavčič, M., Končar, B., Corre, J.-M. Le, Li, H., Härlin, R., Jaseliūnaitė, J., Baglietto, E., Brewster, R., Ding, A., Vlček, D., Sato, Y., Xiong, J., Wang, H., Luo, H., Vyskocil, L., Hovi, V.
Publikováno v:
In International Journal of Multiphase Flow September 2024 179
Publikováno v:
Phys. Rev. A 100, 033811 (2019)
Polarization dependent loss (PDL) is a serious problem that hinders the transfer of polarization qubits through quantum networks. Recently it has been shown that the detrimental effects of PDL on qubit fidelity can be compensated for with the introdu
Externí odkaz:
http://arxiv.org/abs/1905.07398
Publikováno v:
Phys. Rev. A 100, 013850 (2019)
We consider a coherent state of light propagating through an ensemble of two-level atoms where all the atoms are initially in their ground state. In ordinary absorption, the transition of atoms to their excited state along with the absorption of a ph
Externí odkaz:
http://arxiv.org/abs/1903.02041
Autor:
Franson, J. D., Brewster, R. A.
The Schrodinger and Heisenberg pictures are equivalent formulations of quantum mechanics. Here we use the Schrodinger picture to calculate the decoherence that occurs when an optical Schrodinger cat state is passed through a beam splitter. We find th
Externí odkaz:
http://arxiv.org/abs/1811.06517
Publikováno v:
Phys. Rev. A 98, 033818 (2018)
Loss and decoherence are a major problem in the transmission of non-classical states of light over large distances. It was recently shown that the effects of decoherence can be reduced by applying a probabilistic noiseless attenuator before transmitt
Externí odkaz:
http://arxiv.org/abs/1803.00587
Publikováno v:
Phys. Rev. A 96, 042307 (2017)
The process of heralded noiseless amplification, and the inverse process of heralded noiseless attenuation, have potential applications in the context of quantum communications. Although several different physical implementations of heralded noiseles
Externí odkaz:
http://arxiv.org/abs/1709.00367
Autor:
Franson, J. D., Brewster, R. A.
Publikováno v:
Physics Letters A 382, 887 (2018)
In an ideal linear amplifier, the output signal is linearly related to the input signal with an additive noise that is independent of the input. The decoherence of a quantum-mechanical state as a result of optical amplification is usually assumed to
Externí odkaz:
http://arxiv.org/abs/1608.08821