The Quantum Reverse Shannon Theorem Based on One-Shot Information Theory

The Quantum Reverse Shannon Theorem states that any quantum channel can be simulated by an unlimited amount of shared entanglement and an amount of classical communication equal to the channel’s entanglement assisted classical capacity. In this paper, we provide a new proof of this theorem, which has previously been proved by Bennett, Devetak, Harrow, Shor, and Winter. Our proof has a clear structure being based on two recent information-theoretic results: one-shot Quantum State Merging and the Post-Selection Technique for quantum channels.     

Selective Decoupling

Low-power broadband decoupling sequences WALTZ-16 and GARP-1 generate large far-from-resonance frequency modulations which preclude selectivity. The framework developed to construct these broadband sequences is modified to permit selective spin decoupling. Selective-decoupling sequences are created from shaped 90° pulses combined consecutively using WALTZ permutations and supercycle symmetry while shaped 180° pulses are combined in supercycle symmetry to make inversion-based decoupling sequences. Simulations and experiments compare the decoupling bandwidth, frequency selectivity, and quality of near-resonance decoupling for broadband and selective-decoupling sequences.     

Decoupling by a projection

The asymptotic behaviour for μ→∞ of the family H+μP is investigated, where H is a semi-bounded but not bounded selfadjoint operator, P is an orthoprojection, H is local with respect to $\text{P}\text{?}\text{=1?P}$. A characterization of the Friedrichs extension of

by the strong resolvent convergence limit of the family H+μP (which exists) is given. Applications to differential operators and strengthening of the main result (as to convergence with respect to the trace norm for some power of the resolvent) are discussed. Also an application to certain two space scattering systems is given.     

Decoupling of supersymmetric particles

The possibility of a heavy supersymmetric spectrum at the Minimal Supersymmetric Standard Model is considered and the decoupling from the low energy electroweak scale is analyzed in detail. The formal proof of decoupling of supersymmetric particles from low energy physics is stated in terms of the effective action for the particles of the Standard Model that results by integrating out all the sparticles in the limit where their masses are larger than the electroweak scale. The computation of the effective action for the standard electroweak gauge bosons , Z and is performed by integrating out all the squarks, sleptons, charginos and neutralinos to one-loop. The Higgs sector is not considered in this paper. The large sparticle masses limit is also analyzed in detail. Explicit analytical formulae for the two-point functions of the electroweak gauge bosons to be valid in that limit are presented. Finally, the decoupling of sparticles in the S, T and U parameters is studied analitically. A discussion on how the decoupling takes place in terms of both the physical sparticle masses and the non-physical mass parameters as the -parameter and the soft-breaking parameters is included. Received: 27 March 1998 / Published online: 5 October 1998     

Decoupling braided tensor factors

We briefly report on our result that the braided tensor product algebra of two module algebras A ₁, A ₂ of a quasitriangular Hopf algebra H is equal to the ordinary tensor product algebra of A ₁ with a subalgebra isomorphic to A ₂ and commuting with A ₁, provided there exists a realization of H within A ₁. As applications of the theorem, we consider the braided tensor product algebras of two or more quantum group covariant quantum spaces or deformed Heisenberg algebras.     

Decoupling in supersymmetric theories

We examine the decoupling of massive states in supergravity theories. Using superspace functional techniques to “integrate out” the massive modes we derive the effective low-energy lagrangian. The technique is extended to the case of large supersymmetry breaking and we show how the effective lagrangian correctly accounts for vacuum expectation values of massive fields. We discuss the structure of effective theories following from the superstring in which the effects of Kaluza-Klein modes and states massive after intermediate scale breaking are included. It is shown in the case of large intermediate scale breaking the theory should possess discrete symmetries to protect light states from large supersymmetry breaking and we list the conditions for viable models.     

Decoupling of the two-pomeranchon-cut

We prove the decoupling of the two-Pomeranchon-cut from two Pomeranchon-Regge poles at zero momentum transfer. This implies the vanishing of the Pomeranchon-Pomeranchon-Reggeon vertex at zero momentum transfer.     

Decoupling in theories with anomalies

We consider the appearance of infinities due to the triangle anomaly in the Weinberg model by introducing terms in the lagrangian which restore the Ward identities. It is then shown that these are not the same as the divergence which occur in the standard model if the quarks (which cancel the anomalies) are given a large mass. We have not succeeded in finding a model in which the infinities due to the anomalies are the leading effects of heavy fermions.     

A Decoupling Theorem for the BPHZL-Scheme

Conditions are stated, which are sufficient for the heavy-mass-suppression of BPHZL- subtracted Feynman-integrals containing propagators of “heavy fields”. This result generalizes the Decoupling Theorems of Ambjørn, Manoukian and Landsman to cases, where massless fields (e.g., gauge fields) are present.     

A Vector Model of Adiabatic Decoupling

A vector model of adiabatic decoupling is enunciated for an IS-coupled system of two spin- heteronuclei in the high-power limit of ideal adiabatic pulses. The observed S-spin magnetization evolves according to a time-dependent coupling that scales as thezcomponent of an I-spin vector which evolves due to the applied decoupling irradiation. Simple analytical expressions are derived both on and off resonance for the reduced coupling during an ideal sech/tanh inversion pulse and for the resulting signal when either in-phase or antiphase magnetization is present at the start of decoupling. The resulting model allows one to readily envision decoupling experiments, make accurate estimates of sideband intensity, and assess the relative performance of different decoupling schemes. The utility of the model is further demonstrated by applying it to several recently proposed methods for reducing sidebands. In the limit of ideal adiabatic pulses, the predictions of the vector model are almost identical to those of quantum mechanics. At the lower RF power levels used in practical adiabatic decoupling applications, where the pulses are no longer perfectly adiabatic, phase cycles are employed to achieve performance that approximates the ideal limits derived here, so the vector model is more generally applicable, as well. These limits establish standards for future determination of the most efficient parameters for practical applications of broadband adiabatic decoupling in a single transient.     

Decoupling of heavy quarks in quantum chromodynamics

Decoupling of heavy quarks in quantum chromodynamics (QCD) defined by mass-independent renormalization is investigated. The structure of the relations between the parameters of f flavour QCD and the parameters of the effective f ? 1 flavour QCD below a heavy-quark threshold is discussed to all orders in the loop expansion, and the relations are computed to two-loop approximation for the minimal subtraction schemes (MS) and to one-loop approximation for some Weinberg schemes. These matching relations can be used to systematically determine the renormalization group (RG)-invariant parameters of the effective theory in terms of the RG-invariant parameters of the theory which includes the heavy quark, or vice versa. For the $\text{MS}$ scheme the connection between Λ_{f ? 1} nad Λ_f to two and three loops is given as well as the two-loop connection between the RG-invariant mass parameters of the f ? 1 and f flavour theory. The effect of heavy quarks on the evolution of the QCD coupling is of significance for present QCD phenomenology based on next-to-leading-order perturbation theory. This is illustrated with a few examples within the $\text{MS}$ scheme.     

Decoupling of magnetically interacting crystallites of goethite

The magnetic properties of synthetic goethite, precipitated from a SiO₂-containing Fe(III) solution, have been studied. The Mössbauer spectra show the coexistence of a quadrupole doublet and a magnetically split component in a large temperature range. The area ratio of these two components depends strongly on temperature, indicating a normal superparamagnetic behaviour of isolated crystallites. This is in contrast to the behaviour normally exhibited by pure samples of microcrystalline goethite, in which strong magnetic interactions among the crystallites lead to a superferromagnetic behaviour. The results show that the magnetic interactions among the crystallites are drastically diminished when amorphous SiO₂ separates the goethite crystallites.