New discrete geometric framework measures quantum walker spread using Connes distance, revealing how magnetic fields suppress propagation and spatially varying metrics dynamically reshape particle dynamics on lattices.
@informaq.bsky.social
@informaq.bsky.socialNew discrete geometric framework measures quantum walker spread using Connes distance, revealing how magnetic fields suppress propagation and spatially varying metrics dynamically reshape particle dynamics on lattices.
@informaq.bsky.socialQuantum coherence accelerates classical randomization in permutation walks without sacrificing information at the density matrix level. Coherent and dissipative dynamics cooperate to achieve faster measurement-basis mixing via Lindblad evolution.
@informaq.bsky.socialStudy of orientation-dependent Pauli noise in discrete-time quantum walks reveals distinct quantum-to-classical transitions, with Y-noise exhibiting unique algebraic relaxation and central suppression in spatial distributions unlike X- and Z-noise.
@informaq.bsky.socialFramework for studying fractional revival and perfect state transfer in quantum networks using continuous-time quantum walks on complementary prism graphs. Characterizes PST in complete and complete bipartite graph constructions.
@informaq.bsky.socialIntroducing transport vectors that encode quantum walk asymptotic drift: two losing strategies create a winning one when their combined transport vector escapes the cone of individual ones. A geometric criterion explains minimal realizations.
@informaq.bsky.socialComplete classification of connected 6-periodic graphs through spectral analysis of normalized adjacency matrices, identifying Dutch windmill and uniform theta graphs as the only solutions.
@informaq.bsky.socialGeneralized quantum walks with variable step lengths reveal control over topologically protected edge states. Transfer-matrix analysis predicts spatial profiles and spin structures, enabling design of quantum systems with tunable boundary modes.
@informaq.bsky.socialStudy proves that exact uniform distribution of positive sojourn times in quantum walks is exclusive to Hadamard coins within rotation coin families—a rigidity phenomenon characterized through matrix-valued generating functions and algebraic analysis.
@informaq.bsky.socialResearchers establish precise limits on quantum walk transport speed under finite-state-preparation constraints, proving an inverse-square approach to ballistic limits with coefficient π²/4—directly testable in ultracold atom experiments.