Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We study the universality and membership problems for gate sets consisting of a finite number of quantum gates. Our approach relies on the techniques from compact Lie group theory. We als…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. The moduli space of gapped Hamiltonians that are in the same topological phase is an intrinsic object that is associated with the topological order. The topology of these moduli spaces ha…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. Dyson’s model in infinite dimensions is a system of Brownian particles that interact via a logarithmic potential with an inverse temperature of β = 2. The stochastic process can be repres…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We consider a Dirac operator on right triangles, subject to infinite-mass boundary conditions. We conjecture that the lowest positive eigenvalue is minimized by the isosceles right triang…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associati…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. Coupled-cavity traveling wave tube (CCTWT) is a high power microwave vacuum electronic device used to amplify radio frequency signals. CCTWTs have numerous applications, including radar, …
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. This paper is devoted to investigating the heat trace asymptotic expansion associated with the magnetic Steklov problem on a smooth compact Riemannian manifold (Ω, g) with smooth boundary…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We give a precise description of spectral types of the mosaic Maryland model with any irrational frequency, which provides a quasi-periodic unbounded model with non-monotone potential hav…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We present an algebraic approach to the description of bound states in the continuum (BICs) in finite systems with a discrete energy spectrum coupled to several decay channels. General es…
Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We discuss some perturbation results concerning certain pairs of sequences of vectors in a Hilbert space [math] and producing new sequences, which share, with the original ones, reconstru…