Zobrazeno 1 - 10
of 198
pro vyhledávání: '"Vahala, Linda"'
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
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 quantum lattice representation (QLA) is devised for the initial value problem of one-dimensional (1D) propagation of an electromagnetic disturbance in a scalar dielectric medium satisfying directly only the two curl equations of Maxwell. It si foun
Externí odkaz:
http://arxiv.org/abs/2111.09745
There is considerable interest in the application of quantum information science to advance computations in plasma physics. Many of the topics in fusion plasma physics are classical in nature. In order to implement them on quantum computers it will r
Externí odkaz:
http://arxiv.org/abs/2108.06880
A quantum lattice algorithm (QLA) is developed for the solution of Maxwell equations in scalar dielectric media using the Riemann-Silberstein representation. For x-dependent and y-dependent inhomogeneities, the corresponding QLA requries 8 qubits/spa
Externí odkaz:
http://arxiv.org/abs/2010.12264
Utilizing the similarity between the spinor representation of the Dirac equation and the Maxwell equations that has been recognized since the early days of relativistic quantum mechanics, a quantum lattice (QLA) representation of unitary collision st
Externí odkaz:
http://arxiv.org/abs/2002.08450
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation August 2019 75:152-159