Effects of Disorder on Non-unitary <i>PT</i> Symmetric Quantum Walks

DOI10.4036/IIS.2017.A.12zbMath1470.81046arXiv1608.00719OpenAlexW3098275537MaRDI QIDQ5147819

Ken Mochizuki, Hideaki Obuse

Publication date: 28 January 2021

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00719

zbMATH Keywords

randomness\(\mathcal{PT}\) symmetrynon-unitary quantum walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum stochastic calculus (81S25) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (1)

Quantum walk and its application domains: a systematic review

Cites Work

• Time-Reversal Symmetry in Non-Hermitian Systems
• Generalized PT symmetry and real spectra
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Exponentially Fragile<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Symmetry in Lattices with Localized Eigenmodes

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