The rotation scheme of quantum states based on EPR pairs

In this paper, we give a further discussion of short-distance teleportation. We propose bidirectional, rotation and cyclic rotation teleportation schemes for short-distance participants, respectively. In our bidirectional transmission scheme, the quantum channel is still an EPR pair and an auxiliary qubit in the ground state [Formula: see text], and two participants can transmit an unknown single-qubit state to each other. In the rotation and cyclic rotation schemes, bidirectional transmission is performed between two adjacent participants in turn. The unknown state qubits of the participants collapse into the ground state after one bidirectional transmission, and can be used as auxiliary qubits in subsequent bidirectional transmission. After a complete state rotation, each participant has held the unknown state of the other participants, and the last one owned by the participant is still the original unknown state. Although the schemes we proposed are applicable to a small range of transmission, they have certain advantages in saving quantum resources.

Higher-order learning

We design a novel experiment to study how subjects update their beliefs about the beliefs of others. Three players receive sequential signals about an unknown state of the world. Player 1 reports her beliefs about the state; Player 2 simultaneously reports her beliefs about the beliefs of Player 1; Player 3 simultaneously reports her beliefs about the beliefs of Player 2. We say that beliefs exhibit higher-order learning if the beliefs of Player k about the beliefs of Player $$k-1$$ k - 1 become more accurate as more signals are observed. We find that some of the predicted dynamics of higher-order beliefs are reflected in the data; in particular, higher-order beliefs are updated more slowly with private than public information. However, higher-order learning fails even after a large number of signals is observed. We argue that this result is driven by base-rate neglect, heterogeneity in updating processes, and subjects’ failure to correctly take learning rules of others into account.

Optimal local unitary encoding circuits for the surface code

The surface code is a leading candidate quantum error correcting code, owing to its high threshold, and compatibility with existing experimental architectures. Bravyi et al. (2006) showed that encoding a state in the surface code using local unitary operations requires time at least linear in the lattice size L, however the most efficient known method for encoding an unknown state, introduced by Dennis et al. (2002), has O(L2) time complexity. Here, we present an optimal local unitary encoding circuit for the planar surface code that uses exactly 2L time steps to encode an unknown state in a distance L planar code. We further show how an O(L) complexity local unitary encoder for the toric code can be found by enforcing locality in the O(log⁡L)-depth non-local renormalisation encoder. We relate these techniques by providing an O(L) local unitary circuit to convert between a toric code and a planar code, and also provide optimal encoders for the rectangular, rotated and 3D surface codes. Furthermore, we show how our encoding circuit for the planar code can be used to prepare fermionic states in the compact mapping, a recently introduced fermion to qubit mapping that has a stabiliser structure similar to that of the surface code and is particularly efficient for simulating the Fermi-Hubbard model.

HIV/AIDS RELATED ORAL MANIFESTATIONS AND THEIR STATISTICS IN GEORGIA 2016

The goal of our research was to determine the frequency of oral manifestations among the new revealed HIV-infected persons in 2016. For this we studied the database of the AIDS Center and we explored a certain group of patients with oral manifestations and carried out according to the dental examination. The results are: In 2016 totally were found out 719 new cases of HIV infections in a various stages: 11 (1,53%±8,02%) were Acute stage,130 (18.08%±2.12%) -Asymptomatic stage, 361 (50,21%±0.996%) – Symptomatic Non-AIDS, 214 (29,76%±1.54%) –AIDS, just 3 (0,42%15,4%) – NonAIDS/unknown state. Among of them HIV-associated oral manifestations were found in 245 (34.07%1.39%) patients. We investigated 125 (51,02%0,97%) cases and as a result: 69 (55.2%0.9%) were oral candidiasis, 37 25,52%1,71%)manifestati ons were caused by herpes-vi rus. 9 (6,21%±3,89%) of them were oral hairy leukoplakia, 8 (5,52%±4,13%) - gingivitis and periodontitis, Non Hodgkin’s lymphoma - just 1 (0,14%±26,7%) case and Kaposi’s Sarcoma also 1 (0,14%±26,7%) in the year.