A quantum version of Sanov's theorem

We present a quantum extension of a version of Sanov's theorem focussing on a hypothesis testing aspect of the theorem: There exists a sequence of typical subspaces for a given set $\Psi$ of stationary quantum product states asymptotically separating them from another fixed stationary product state. Analogously to the classical case, the exponential separating rate is equal to the infimum of the quantum relative entropy with respect to the quantum reference state over the set $\Psi$. However, while in the classical case the separating subsets can be chosen universal, in the sense that they depend only on the chosen set of i.i.d. processes, in the quantum case the choice of the separating subspaces depends additionally on the reference state.Comment: 15 page

Resolvability on Continuous Alphabets

We characterize the resolvability region for a large class of point-to-point channels with continuous alphabets. In our direct result, we prove not only the existence of good resolvability codebooks, but adapt an approach based on the Chernoff-Hoeffding bound to the continuous case showing that the probability of drawing an unsuitable codebook is doubly exponentially small. For the converse part, we show that our previous elementary result carries over to the continuous case easily under some mild continuity assumption.Comment: v2: Corrected inaccuracies in proof of direct part. Statement of Theorem 3 slightly adapted; other results unchanged v3: Extended version of camera ready version submitted to ISIT 201

CONCENTRATION OF POLYAMINES IN THE RAT LIVER DURING POSTNATAL PERIOD

Polyamines, spermine, spermidine, and putrescine are ubiquitous in living cells. Polyamines play important roles in cell growth, proliferation, and survival. Our aim was to determine the concentration of the spermine, spermidine, and putrescine in the rat liver during the first 6 months of postnatal life. A total of 45 albino Wistar rats, maintained under controlled temperature (20±2°C) in the animal room facilities were included in this study. On the day 1, 3.5 months, and 6 months of postnatal life, rats were sacrificed by cervical dislocation. Thr liver was removed and washed in the 0.9% solution of sodium chloride. Concentrations of spermine, spermidine, and putrescine were determined. Concentration of polyamines in the liver tissue of the Wistar albino rats aged 1 day, 3.5 months, and 6 months was respectively: spermine (Sp) (33.81 ± 3.04; 128.15 ± 6.62; 74.34 ± 1.12 mg/g of wet weight); spermidine (Spd) (121.92 ± 6.23; 53.34 ± 3.31; 56.32± 1.41 mg/g wet weight); and putrescine (Put) (8.92 ± 0.98; 9.37 ± 0.98; 20.93 ± 1.15 mg/g wet weight). Polyamine concentration in the rat liver fluctuated during postnatal life. The concentration of the spermidine was highest in the rat liver on the first postnatal day, much higher than spermine, this ratio inverted in 3.5 months old rats. The concentrations of the spermidine and spermine were almost equal at the 6 months of the postnatal life. The concentration of putrescine steadily increases during postnatal life

Broadcast Capacity Region of Two-Phase Bidirectional Relaying

In a three-node network a half-duplex relay node enables bidirectional communication between two nodes with a spectral efficient two phase protocol. In the first phase, two nodes transmit their message to the relay node, which decodes the messages and broadcast a re-encoded composition in the second phase. In this work we determine the capacity region of the broadcast phase. In this scenario each receiving node has perfect information about the message that is intended for the other node. The resulting set of achievable rates of the two-phase bidirectional relaying includes the region which can be achieved by applying XOR on the decoded messages at the relay node. We also prove the strong converse for the maximum error probability and show that this implies that the [\eps_1,\eps_2]-capacity region defined with respect to the average error probability is constant for small values of error parameters \eps_1, \eps_2.Comment: 25 pages, 2 figures, submitted to IEEE Transactions on Information Theor

Typical support and Sanov large deviations of correlated states

Discrete stationary classical processes as well as quantum lattice states are asymptotically confined to their respective typical support, the exponential growth rate of which is given by the (maximal ergodic) entropy. In the iid case the distinguishability of typical supports can be asymptotically specified by means of the relative entropy, according to Sanov's theorem. We give an extension to the correlated case, referring to the newly introduced class of HP-states.Comment: 29 pages, no figures, references adde

Towards Secure Over-The-Air Computation

We propose a new method to protect Over-The-Air (OTA) computation schemes against passive eavesdropping. Our method uses a friendly jammer whose signal is -- contrary to common intuition -- stronger at the legitimate receiver than it is at the eavesdropper. It works for a large class of analog OTA computation schemes and we give two examples for such schemes that are contained in this class. The key ingredients in proving the security guarantees are a known result on channel resolvability and a generalization of existing results on coding for compound channels