Work

Spectral Criterion for Disorder-Free Localization of Quantum Walks on Hypercube: QBN Approach

Year: 2026

Type: preprint

Abstract: We study disorder-free localization in a spin-coupled quantum walk on the hypercube within the quantum Bernoulli noises framework. We derive a general criterion for disorder-free localization: it occurs if and only if some spectral subspace of a reduced unitary evolution contains a vector whose position marginal probability is non-uniform. For the Grover walk with distance-dependent coupling \(ϕ_σ=|σ|π/(n+1)\) in dimension \(d=4\), we explicitly construct a non-uniform fixed point in the all \(+1\) spin configuration. This implies that disorder-free localization occurs in our model.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.07267

Author: Wang, Ce

Institution: Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212015378

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Cited by: 1

Related to: 10