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arXiv:1312.4758v2 [quant-ph] 10 Apr 2014
... most k qubits. Throughout this paper, we assume that Hamiltonians H are scaled so that all eigenvalues of H are between 0 and O(nc ) for some c that is independent of n. Mathematically, we can regard a Hamiltonian H as a D × D Hermitian matrix. The ground state of a Hamiltonian is just the eigenstat ...
... most k qubits. Throughout this paper, we assume that Hamiltonians H are scaled so that all eigenvalues of H are between 0 and O(nc ) for some c that is independent of n. Mathematically, we can regard a Hamiltonian H as a D × D Hermitian matrix. The ground state of a Hamiltonian is just the eigenstat ...
An introduction to topological phases of electrons
... If you wonder why the prefix “co-” appears in “cohomology”, there is a dual theory of linear combinations of curves, etc., called homology, in which the differential operator in de Rham cohomology is replaced by the boundary operator. However, while arguably more basic mathematically, homology seems ...
... If you wonder why the prefix “co-” appears in “cohomology”, there is a dual theory of linear combinations of curves, etc., called homology, in which the differential operator in de Rham cohomology is replaced by the boundary operator. However, while arguably more basic mathematically, homology seems ...
Lecture notes
... Meanwhile in its 4th edition(2012), this 2-volume book provides a thorough theoretical introduction to particle physics, including field theory. It is excellent (notably its ’comments’ and appendices), but a bit more formal than needed for this course. ...
... Meanwhile in its 4th edition(2012), this 2-volume book provides a thorough theoretical introduction to particle physics, including field theory. It is excellent (notably its ’comments’ and appendices), but a bit more formal than needed for this course. ...
Chapter 9: Linear Momentum
... Elastic and Inelastic Collisions • In an elastic collision kinetic energy is conserved. • Therefore, the internal forces in an elastic collision must be conservative. • In an inelastic collision, the forces are not conservative and mechanical energy is lost. • In a totally inelastic collision, the ...
... Elastic and Inelastic Collisions • In an elastic collision kinetic energy is conserved. • Therefore, the internal forces in an elastic collision must be conservative. • In an inelastic collision, the forces are not conservative and mechanical energy is lost. • In a totally inelastic collision, the ...
Sufficient Conditions for Efficient Classical Simulation of Quantum
... by making a measurement on the M output modes (see Fig. 1). The first condition is based on expressing the probability distribution of the measurement outcomes in terms of a PQD for the output state of the process and PQDs of the elements of the Positive-Operator-Valued Measure (POVM) that describe ...
... by making a measurement on the M output modes (see Fig. 1). The first condition is based on expressing the probability distribution of the measurement outcomes in terms of a PQD for the output state of the process and PQDs of the elements of the Positive-Operator-Valued Measure (POVM) that describe ...
File
... • Vectors have both magnitude and direction. • Vectors must be added using vector addition. – You will have to treat vertical and horizontal vectors separately. ...
... • Vectors have both magnitude and direction. • Vectors must be added using vector addition. – You will have to treat vertical and horizontal vectors separately. ...
arXiv:gr-qc/9901024 v1 8 Jan 1999 - Philsci
... atic. As we shall see in Section 2, the general notion of emergence is vague, and contentious. And once we settle on some such notion, there is a wide and disparate range of quantum gravity programmes to consider. Furthermore, most of these programmes face hard conceptual problems (as well as techn ...
... atic. As we shall see in Section 2, the general notion of emergence is vague, and contentious. And once we settle on some such notion, there is a wide and disparate range of quantum gravity programmes to consider. Furthermore, most of these programmes face hard conceptual problems (as well as techn ...
DIFFERENTIAL EQUATIONS ON HYPERPLANE COMPLEMENTS II Contents 1 3
... Since the monodromy µ(S i ) does not depend on the base point z0 , and the path connecting z0 and si (z0 ), the path may be replaced by any deformation in T reg /W. We can also degenerate this system by sending the parameters of such a deformation to the limits if the resulting system is well define ...
... Since the monodromy µ(S i ) does not depend on the base point z0 , and the path connecting z0 and si (z0 ), the path may be replaced by any deformation in T reg /W. We can also degenerate this system by sending the parameters of such a deformation to the limits if the resulting system is well define ...
The Standard Model of Particle Physics: An - LAPTh
... nature and have the same strength, pointing to universality. There are however some important differences with QED. These processes are charged current processes representing e− ↔ νe or n ↔ p transitions and thus contrary to QED, they involve a change in the identity of the matter, spin-1/2 field. M ...
... nature and have the same strength, pointing to universality. There are however some important differences with QED. These processes are charged current processes representing e− ↔ νe or n ↔ p transitions and thus contrary to QED, they involve a change in the identity of the matter, spin-1/2 field. M ...
Quantum field theory in de Sitter spacetime
... of the cosmological constant and discuss the implications of it. In the classical properties, we also study the causal structure of the de Sitter spacetime in various coordinate systems using the Penrose diagrams. In the next chapter, we study the quantum field theory in flat spacetime as a preface ...
... of the cosmological constant and discuss the implications of it. In the classical properties, we also study the causal structure of the de Sitter spacetime in various coordinate systems using the Penrose diagrams. In the next chapter, we study the quantum field theory in flat spacetime as a preface ...
Electron–phonon interaction and electronic decoherence in
... This is immediately satisfied in one-dimensional wires but its validity is much more general. This fundamental fact remained unnoticed in the early discussions of quantum tunneling [5] and it is the key to understand conductance quantization. The Gj;i ¼ e2 =hTj;i ðeÞ are hence Landauer’s conductances ...
... This is immediately satisfied in one-dimensional wires but its validity is much more general. This fundamental fact remained unnoticed in the early discussions of quantum tunneling [5] and it is the key to understand conductance quantization. The Gj;i ¼ e2 =hTj;i ðeÞ are hence Landauer’s conductances ...
Classical Simulation of Quantum Systems
... could simulate another quantum system in a fruitful manner [Fey82]. Hence, to advance our understanding of all varieties of quantum systems, a computing device that “works” in the full volume of its quantum-mechanical Hilbert space and not just in its classical states [Fey85], would be a tool of tre ...
... could simulate another quantum system in a fruitful manner [Fey82]. Hence, to advance our understanding of all varieties of quantum systems, a computing device that “works” in the full volume of its quantum-mechanical Hilbert space and not just in its classical states [Fey85], would be a tool of tre ...