Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Koukoutsis, Efstratios"'
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:
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
Autor:
Vahala, George1 (AUTHOR) gmvaha@wm.edu, Koukoutsis, Efstratios2 (AUTHOR), Soe, Min3 (AUTHOR), Hizanidis, Kyriakos2 (AUTHOR), Vahala, Linda4 (AUTHOR), Ram, Abhay K.5 (AUTHOR)
Publikováno v:
Radiation Effects & Defects in Solids: Incorporating Plasma Techniques & Plasma Phenomena. Nov/Dec2023, Vol. 178 Issue 11/12, p1350-1356. 7p.