Polar lattices, which are constructed from polar codes, are provably good for the additive white Gaussian noise (AWGN) channel. In this work, we propose a new polar lattice construction that achieves the secrecy capacity under the strong secrecy criterion over the mod-Λ Gaussian wiretap channel. This construction leads to an AWGN-good lattice and a secrecy-good lattice simultaneously. The desig...

This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive som...

We consider the problem of constructing quantum channels, if they exist, that transform a given set of quantum states {ρ1, . . . , ρk} to another such set {ρ̂1, . . . , ρ̂k}. In other words, we must find a completely positive linear map, if it exists, that maps a given set of density matrices to another given set of density matrices, possibly of different dimension. Using the theory of completely...

Quantum channels can describe all transformations allowed by quantum mechanics. We adapt two existing works [S. Lloyd and L. Viola, Phys. Rev. A 65, 010101 (2001) and E. Andersson and D. K. L. Oi, ibid. 77, 052104 (2008)] to superconducting circuits, featuring a single qubit ancilla with quantum nondemolition readout and adaptive control. This construction is efficient in both ancilla dimension...

We present a new construction of block codes for the (1 ? D)-PR channel. The codewords in the code correspond to constant-sum subsets of a diierence set. It is shown that at the output of a noiseless (1 ? D)-PR channel, the minimum squared Euclidean distance of such a code is at least six, compared to two for the uncoded system. This construction yields larger code rates than previously known c...

A unified framework is presented in order to build lattice constellations matched to both the Rayleigh fading channel and the Gaussian channel. The method encompasses the situations where the interleaving is done on the real components or on two-dimensional signals. In the latter case, a simple construction of lattices congruent to the densest binary lattices with respect to the Euclidean dista...

This paper addresses the problem of constructing a multiple access system for a disjunctive vector channel, similar to multiuser channel without intensity information, as described in [1]. To solve this problem a signal-code construction based on the q-ary codes is proposed. It is shown that the proposed signal-code construction allows to obtain the asymptotic value of the total relative rate a...

Many appealing multicast services such as on-demand TV, teleconference, online games and etc. can benefit from high available bandwidth in multi-radio multi-channel wireless mesh networks. When multiple simultaneous transmissions use a similar channel to transmit data packets, network performance degrades to a large extant. Designing a good multicast tree to route data packets could enhance the...