A reversible cellular automaton (RCA) is a cellular automaton (CA) whose global function is injective and every configuration has at most one predecessor. Margolus showed that there is a computation-universal two-dimensional 2-state RCA. But his RCA has nonuniform neighbor, so Morita and Ueno proposed 16-state computation-universal RCA using partitioned cellular automata (PCA). Because PCA can ...

Let G(A,B) denote the 2-qubit gate which acts as the 1-qubit SU(2) gates A and B in the even and odd parity subspaces respectively, of two qubits. Using a Clifford algebra formalism we show that arbitrary uniform families of circuits of these gates, restricted to act only on nearest neighbour (n.n.) qubit lines, can be classically efficiently simulated. This reproduces a result originally prove...

A reasonable quantum information theory for fermions must respect the parity superselection rule to comply with special of relativity and no-signaling principle. This restricts possibility any state have a superposition between even- odd-parity fermionic states. thereby characterizing set physically allowed Here we introduce operations, in congruence rule, that map states onto itself. We first ...

In the framework of Higgs inflation, we consider electromagnetic field nonminimally coupled to gravity via parity-preserving $\propto RF^{2}$ and parity-violating RF\tilde{F}$ terms. Using perturbation theory leading order in these couplings, study generation during inflation stage. We derive effective kinetic axial coupling functions arising Einstein frame usual metric as well Palatini formula...

We identify time-reversal symmetry breaking mixed-parity superconducting states that feature eight Majorana corner modes in properly cleaved three-dimensional cubic crystals. Namely, when an odd-parity isotropic $p$-wave pairing coexists with preserving even-parity octupolar $d_{x^2-y^2}+i d_{3z^2-r^2}$ pairing, the gapless surface of former get localized at corners, thus yielding \emph{intrins...

We report the creation of an entangled multiphoton quantum superposition by quantum injection of entangled 2-photon states into a parity selective parametric amplifier. The information preserving property of the state transformation suggests for these macrostates the name of large qubits. They are ideal objects for investigating the emergence of the classical world in complex quantum systems an...

Non-universal boundary conditions in grand unified theories can lead to non-universal gaugino masses at the unification scale. In R-parity preserving theories the lightest supersymmetric particle is a natural candidate for the dark matter. In this talk the composition of the lightest neutralino is studied, when nonuniversal gaugino masses come from representations of SO(10). In these cases, the...

We study primordial gravitational waves produced during inflation in quantum gravity at a Lifshitz point proposed by Horava. Assuming power-counting renormalizability, foliation-preserving diffeomorphism invariance, and the condition of detailed balance, we show that primordial gravitational waves are circularly polarized due to parity violation. The chirality of primordial gravitational waves ...

The method of topological renormalization in anti--de Sitter (AdS) gravity consists adding to the action a term which renders it finite, defining at same time well-posed variational problem. Here, we use this prescription work out thermodynamics asymptotically locally (AlAdS) spacetimes, focusing on physical properties Misner strings both Taub-NUT-AdS and Taub-Bolt-AdS solutions. We compute con...