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quant-ph2026
Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry
Ryo Asaka
We explore how the integrated use of quantum spatial distribution (QSD), or more specifically, a superposition of both spin and position states of particles, and gauge symmetry (GS…
quant-ph2026
Quantum error correction via multi-particle discrete-time quantum walk
Ryo Asaka, Ryusei Minamikawa
We propose a scheme of quantum error correction that employs a multi-particle quantum walk defined on nested squares, each hosting a single particle. In this model, each particle m…
quant-ph2026
Perfect transmission and parallel composition for quantum walks on graphs with two leads
Allan John Gerrard, Ryo Asaka, Kazumitsu Sakai
We study scattering for continuous-time quantum walks on finite graphs with two attached leads. We derive explicit formulae for the two-terminal scattering matrix in terms of chara…