MATHEMATICS OF COMPUTATION Volume 72, Number 241, Pages 131–157 S 0025-5718(01)01371-0
... corresponding to entropy solutions of the problem under consideration (see Section 2). It has the advantage that the same strategy extends to multidimensions without any difficulties. The analysis of the properties of the schemes is performed in Section 3 and the strong convergence towards entropy s ...
... corresponding to entropy solutions of the problem under consideration (see Section 2). It has the advantage that the same strategy extends to multidimensions without any difficulties. The analysis of the properties of the schemes is performed in Section 3 and the strong convergence towards entropy s ...
PT symmetry as a necessary and sufficient condition for unitary time
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
Quantum Computation: a Tutorial
... Unitary operations. As for one-qubit system, it is possible to change a quantum system through discrete, reversible operations that simply sends an orthogonal basis to another orthonormal basis. The simplest solution to construct a unitary operation on a 2-qubit system is to tensor two 1-qubit opera ...
... Unitary operations. As for one-qubit system, it is possible to change a quantum system through discrete, reversible operations that simply sends an orthogonal basis to another orthonormal basis. The simplest solution to construct a unitary operation on a 2-qubit system is to tensor two 1-qubit opera ...
Why there is something rather than nothing
... justify. While many would accept that mathematical structures exist necessarily in a platonic sense, and very few would deny the effectiveness of mathematical structures in describing and mapping the world, it can be argued that this is so simply because the world naturally has quantities, and mathe ...
... justify. While many would accept that mathematical structures exist necessarily in a platonic sense, and very few would deny the effectiveness of mathematical structures in describing and mapping the world, it can be argued that this is so simply because the world naturally has quantities, and mathe ...
The Physical World as a Virtual Reality
... Quantum mechanics and relativity theory are the crown jewels of modern physics because they have quite simply never been proved wrong. It all began with Maxwell's wave equations in the 1860s, followed by Planck's constant in 1900, Einstein's special relativity in 1905, general relativity in 1915, an ...
... Quantum mechanics and relativity theory are the crown jewels of modern physics because they have quite simply never been proved wrong. It all began with Maxwell's wave equations in the 1860s, followed by Planck's constant in 1900, Einstein's special relativity in 1905, general relativity in 1915, an ...
Remarks on quantum gravity models and supersymplectic structures
... non-degenerated superspace obtained in a previous work (P ↔j₀). We then analyze the bosonic (B₀) part of the Fisher supermetric by putting all fermionic fields to zero, in order to compare our solutions with those in the literature. The main results of this research can be summarized as follows: ...
... non-degenerated superspace obtained in a previous work (P ↔j₀). We then analyze the bosonic (B₀) part of the Fisher supermetric by putting all fermionic fields to zero, in order to compare our solutions with those in the literature. The main results of this research can be summarized as follows: ...
