arXiv:1312.4758v2 [quant-ph] 10 Apr 2014
... the state-space of the system. If |ψ(t)i is the state of the system at time t, then we have d|ψ(t)i = H|ψ(t)i. dt In principle, any Hermitian H can be a Hamiltonian of a physical system. On the other hand, Hamiltonians of actual physical systems usually satisfy various locality constraints. For exam ...
... the state-space of the system. If |ψ(t)i is the state of the system at time t, then we have d|ψ(t)i = H|ψ(t)i. dt In principle, any Hermitian H can be a Hamiltonian of a physical system. On the other hand, Hamiltonians of actual physical systems usually satisfy various locality constraints. For exam ...
Quantum computation and Shor`s factoring algorithm
... A computation is said to be reversible if the transition between configurations is reversible, i.e., the (n11)th configuration uniquely determines the nth one. (Note, however, that the time reverse of a Turing machine is not a Turing machine, since, for example, the time reverse of ‘‘head writing an ...
... A computation is said to be reversible if the transition between configurations is reversible, i.e., the (n11)th configuration uniquely determines the nth one. (Note, however, that the time reverse of a Turing machine is not a Turing machine, since, for example, the time reverse of ‘‘head writing an ...
Stable bounce and inflation in non-local higher derivative
... that have been studied in [40], and in [41] where cosmological imprints were also discussed. In this paper we aim to focus on the case when Λ > 0. This particular case is very interesting from the point of view of inflation, as it paves the way for a geodesically complete paradigm of inflation in pa ...
... that have been studied in [40], and in [41] where cosmological imprints were also discussed. In this paper we aim to focus on the case when Λ > 0. This particular case is very interesting from the point of view of inflation, as it paves the way for a geodesically complete paradigm of inflation in pa ...
Constraint Effective Potential of the Magnetization - Uwe
... The quantum XY model consists of spins placed on a lattice. Not all components of a spin are measurable simultaneously. This is in contrast to classical vector models, e.g. so-called N -vector-models or O(N )-models, where the classical XY model is the O(2)-model. In the following when we write XY m ...
... The quantum XY model consists of spins placed on a lattice. Not all components of a spin are measurable simultaneously. This is in contrast to classical vector models, e.g. so-called N -vector-models or O(N )-models, where the classical XY model is the O(2)-model. In the following when we write XY m ...
Probability in Everettian quantum mechanics - Philsci
... mind—is attributed a branching trajectory through time rather than the usual linear one. For the purposes of this paper, I will follow Deutsch in regarding Everettian quantum mechanics as a many worlds theory (Deutsch 1996, 223). Solutions to the measurement problem along these lines are popular, an ...
... mind—is attributed a branching trajectory through time rather than the usual linear one. For the purposes of this paper, I will follow Deutsch in regarding Everettian quantum mechanics as a many worlds theory (Deutsch 1996, 223). Solutions to the measurement problem along these lines are popular, an ...
Types for Quantum Computing
... In order to develop a logical characterisation of quantum processes — or, more accurately, a type-theoretic one — we construct formal, syntactic models of the underlying categorical structures found in quantum mechanics. The axioms of these categories are captured in the syntax exactly, so that the ...
... In order to develop a logical characterisation of quantum processes — or, more accurately, a type-theoretic one — we construct formal, syntactic models of the underlying categorical structures found in quantum mechanics. The axioms of these categories are captured in the syntax exactly, so that the ...
FROM INFINITESIMAL HARMONIC TRANSFORMATIONS TO RICCI
... that ξ ∈ Ker for the Yano operator . From the equality h ϕ, ϕ′ i = hϕ, ϕ′ i we conclude that is a self-adjoint differential operator (see [18]). In addition, the symbol σ of the Yano operator satisfies (see [18]) the condition σ()(ϑ, x)ϕx = −g(ϑ, ϑ)ϕx for an arbitrary x ∈ M and ϑ ∈ Tx∗ M ...
... that ξ ∈ Ker for the Yano operator . From the equality h ϕ, ϕ′ i = hϕ, ϕ′ i we conclude that is a self-adjoint differential operator (see [18]). In addition, the symbol σ of the Yano operator satisfies (see [18]) the condition σ()(ϑ, x)ϕx = −g(ϑ, ϑ)ϕx for an arbitrary x ∈ M and ϑ ∈ Tx∗ M ...
Exponential Decay of Matrix $\Phi $
... between the Φ-Sobolev inequalities and an exponential decrease of the Φ-entropies. In this work, we develop a framework of Markov semigroups on matrix-valued functions and generalize the above equivalence to the exponential decay of matrix Φ-entropies. This result also specializes to spectral gap in ...
... between the Φ-Sobolev inequalities and an exponential decrease of the Φ-entropies. In this work, we develop a framework of Markov semigroups on matrix-valued functions and generalize the above equivalence to the exponential decay of matrix Φ-entropies. This result also specializes to spectral gap in ...
Transport, Noise, and Conservation in the Electron Gas: Frederick Green
... The conductivity quantifies the coarse-grained singleparticle current response; σ is accessible through the current-voltage characteristic. The diffusion constant is a fine-grained two-body response, and its structure is intimately tied to current fluctuations; D too is observable, for example via t ...
... The conductivity quantifies the coarse-grained singleparticle current response; σ is accessible through the current-voltage characteristic. The diffusion constant is a fine-grained two-body response, and its structure is intimately tied to current fluctuations; D too is observable, for example via t ...