Zobrazeno 1 - 10
of 1 026
pro vyhledávání: '"Ram A. K."'
Autor:
Koukoutsis, Efstratios, Papagiannis, Panagiotis, Hizanidis, Kyriakos, Ram, Abhay K., Vahala, George, Amaro, Oscar, Gamiz, Lucas I Inigo, Vallis, Dimosthenis
Motivated by the contemporary advances in quantum implementation of non-unitary operations, we propose a new dilation method based on the biorthogonal representation of the non-unitary operator, mapping it to an isomorphic unitary matrix in the ortho
Externí odkaz:
http://arxiv.org/abs/2410.22505
Autor:
Soe, Min, Vahala, George, Vahala, Linda, Ram, Abhay K., Koukoutsis, Efstratios, Hizanidis, Kyriakos
Using the Madelung transformation on a generalized scalar Gross-Pitaevski equation, a nonlinear continuum fluid equations are derived for a classical fluid. A unitary quantum lattice algorithm is then determined as a second order discrete representat
Externí odkaz:
http://arxiv.org/abs/2409.17520
Autor:
Singh, Shubh N., Ram, Ranjan K.
We explicitly describe all the isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical semigroups.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2406.09848
Autor:
Koukoutsis, Efstratios, Hizanidis, Kyriakos, Vahala, George, Soe, Min, Vahala, Linda, Ram, Abhay K.
Electromagnetic waves are an inherent part of all plasmas -- laboratory fusion plasmas or astrophysical plasmas. The conventional methods for studying properties of electromagnetic waves rely on discretization of Maxwell equations suitable for implem
Externí odkaz:
http://arxiv.org/abs/2309.12492
In dispersive media, dissipation appears in the Schr\"odinger representation of classical Maxwell equations as a sparse diagonal operator occupying an $r$-dimensional subspace. A first order Suzuki-Trotter approximation for the evolution operator ena
Externí odkaz:
http://arxiv.org/abs/2308.00056
Autor:
Vahala, George, Soe, Min, Koukoutsis, Efstratios, Hizanidis, Kyriakos, Vahala, Linda, Ram, Abhay K.
It is well known that Maxwell equations can be expressed in a unitary Schrodinger-Dirac representation for homogeneous media. However, difficulties arise when considering inhomogeneous media. A Dyson map points to a unitary field qubit basis, but the
Externí odkaz:
http://arxiv.org/abs/2307.13182
Autor:
Vahala, George, Soe, Min, Vahala, Linda, Ram, Abhay K., Koukoutsis, Efstratios, Hizanidis, Kyriakos
A Dyson map explicitly determines the appropriate basis of electromagnetic fields which yields a unitary representation of the Maxwell equations in an inhomogeneous medium. A qubit lattice algorithm (QLA) is then developed perturbatively to solve thi
Externí odkaz:
http://arxiv.org/abs/2301.13601
Autor:
Anderson, Paul, Finegold-Sachs, Lillian, Vahala, George, Vahala, Linda, Ram, Abhay K., Soe, Min, Koukoutsis, Efstratios, Hizandis, Kyriakos
$\bf{Abstract}$: A qubit lattice algorithm (QLA), which consists of a set of interleaved unitary collision-streaming operators, is developed for electromagnetic wave propagation in tensor dielectric media. External potential operators are required to
Externí odkaz:
http://arxiv.org/abs/2211.16661
A reformulation of Maxwell equations for an inhomogeneous, anisotropic, passive and non-dispersive medium results in a quantum-like Dirac equation that admits unitary time evolution. In contrast to other approaches, there is no a-priori introduction
Externí odkaz:
http://arxiv.org/abs/2209.08523
Publikováno v:
In Future Generation Computer Systems October 2024 159:221-229
