We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of relation. This is achieved strengthening celebrated Cauchy–Schwarz inequality using a method brackets convex functions. The outperform several relations, notably better than some recent best lower bounds such as [Phys. Rev. Lett. 120, 230402 (2018)] A...

It is known that the determination of the Iwahori-spherical unitary dual for p-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for the associated Hecke algebras. In this setting, I determine the Iwahori–spherical unitary dual for split

The determination of the Iwahori-spherical unitary representations for split p-adic groups can be reduced to the classification of unitary representations with real infinitesimal character for associated graded Hecke algebras. We determine the unitary modules with real infinitesimal character for the graded Hecke algebra of type E6.

The Unitary Executive offers a powerful case for the historical pedigree of the unitary executive theory. Offering an account of presidential practice stemming from George Washington to George W. Bush, the book seeks to ground unitary executive theory with exhaustive historical evidence. Although the authors do not purport to present a history of the presidency, they do provide important and co...

In this paper we obtained for the Higgs algebra three kinds of single-mode realizations such as the unitary Holstein-Primakoff-like realization, the non-unitary Dyson-like realization and the unitary realization based upon Villain-like realization. The corresponding similarity transformations between the Holstein-Primakoff-like realizations and the Dyson-like realizations are revealed. PACS: 11...

Let T,U and V be rings with identity and M be a unitary (T,U)-bimodule, N be a unitary (U, V )bimodule, D be a unitary (T, V )-bimodule . We characterize homomorphisms and isomorphisms of the generalized matrix ring Γ = ( T M D 0 U N 0 0 V )

Allowing diagonalizability of sign pattern is still an open problem. In this paper, we make a carefully discussion about allowing unitary diagonalizability of two sign pattern. Some sufficient and necessary conditions of allowing unitary diagonalizability are also obtained. Keywords—Sign pattern; Unitary diagonalizability ; Eigenvalue; Allowing diagonalizability

It is fundamental to view unitary braiding operators describing topological entangle-ments as universal quantum gates for quantum computation. This paper derives a unitary solution of the quantum Yang–Baxter equation via Yang–Baxterization and constructs the Hamiltonian responsible for the time-evolution of the unitary braiding operator.

For quantum computing and quantum information processing, one important task is the discrimination of quantum states and unitary operations. This is strongly related to quantum nonorthogonality, which is one of the basic features of quantum mechanics. Since the pioneering work of Helstrom [1] on quantum hypothesis testing, the problem of discriminating nonorthogonal quantum states has attracted...