State transfer in chiral quantum walks
The chiral quantum walk is an emerging tool for state transfer as it helps circumvent the barrier of no-go theorems in quantum transport. Yet, it remains largely unexplored. We prove a conjecture that universal monogamy violations for perfect quantum transfer in large graphs require couplings beyond the simple imaginary [Formula: see text]. This motivates our constructions of new monogamy violations on sparse graph products. Then, we show a novel violation of periodicity and the first known examples of one-way perfect quantum transfer via transcendental couplings.This article is part of the theme issue 'Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms'.
Authors
- Summer Eldridge (ORCID: https://orcid.org/0009-0005-0303-901X)
- Ada Chan (ORCID: https://orcid.org/0000-0001-9310-034X)
- Matthew How-Chun-Lun
- Chris Godsil (ORCID: https://orcid.org/0000-0001-6110-5752)
- Christino Tamon (ORCID: https://orcid.org/0000-0003-4955-5253)
- Antonio Acuaviva
- Emily Wright (ORCID: https://orcid.org/0000-0002-2240-0019)
- Xiaohong Zhang (ORCID: https://orcid.org/0000-0003-2320-0884)
Institutions
- University of Waterloo (CA)
- George Mason University (US)
- Clarkson University (US)
- York University (CA)
- Lancaster University (GB)
- Université de Montréal (CA)
- McMaster University (CA)
Publication Details
- Journal
- Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
- Published
- 2025-10-09
- DOI
- https://doi.org/10.1098/rsta.2024.0420
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00