Some Recent Developments in Sphalerons

We review briefly the sphaleron and list some of its properties. We summarize some of the results in models which have an extended scalar sector. We also present our work on models dealing with physics beyond the standard model. We focus on the energy of the sphaleron which is important in determining the rate of baryon number violation at the electroweak scale.Comment: Tex, 5 pages (one figure available by request), to appear in Proceedings of Beyond the Standard Model IV, Lake Tahoe, CA, Dec. 199

Some Phenomenology of the top quark with non-standard couplings

In this talk I will use effective lagrangian and discuss possible new physics associated with top quark.Comment: 5 pages, Latex, figures available by reques

Weaving independently generated photons into an arbitrary graph state

The controlled Z (CZ) operations acting separately on pairs of qubits are commonly adopted in the schemes of generating graph states, the multi-partite entangled states for the one-way quantum computing. For this purpose, we propose a setup of cascade CZ operation on a whole group of qubits in sequence. The operation of the setup starts with entangling an ancilla photon to the first photon as qubit, and this ancilla automatically moves from one entanglement link to another in assisting the formation of a string in graph states. The generation of some special types of graph states, such as the three-dimensional ones, can be greatly simplified in this approach. The setup presented uses weak nonlinearities, but an implementation using probabilistic linear optics is also possible.Comment: 6 pages, 7 figures. Accepted by Phys. Rev.

Highly Efficient Processing Multi-photon States

How to implement multi-qubit gates is an important problem in quantum information processing. Based on cross phase modulation, we present an approach to realizing a family of multi-qubit gates that deterministically operate on single photons as the qubits. A general $n$-qubit unitary operation is a typical example of these gates. The approach greatly relax the requirement on the resources, such as the ancilla photons and coherent beams, as well as the number of operations on the qubits. The improvement in this framework may facilitate large scale quantum information processing.Comment: to be published in Scientific Reports. 14 pages, 5 figures (plus 5 pages and 2 figures in supplementary materials

A Framework for Extracting Semantic Guarantees from Privacy

Statistical privacy views privacy definitions as contracts that guide the behavior of algorithms that take in sensitive data and produce sanitized data. For most existing privacy definitions, it is not clear what they actually guarantee. In this paper, we propose the first (to the best of our knowledge) framework for extracting semantic guarantees from privacy definitions. That is, instead of answering narrow questions such as "does privacy definition Y protect X?" the goal is to answer the more general question "what does privacy definition Y protect?" The privacy guarantees we can extract are Bayesian in nature and deal with changes in an attacker's beliefs. The key to our framework is an object we call the row cone. Every privacy definition has a row cone, which is a convex set that describes all the ways an attacker's prior beliefs can be turned into posterior beliefs after observing an output of an algorithm satisfying that privacy definition. The framework can be applied to privacy definitions or even to individual algorithms to identify the types of inferences they defend against. We illustrate the use of our framework with analyses of several definitions and algorithms for which we can derive previously unknown semantics. These include randomized response, FRAPP, and several algorithms that add integer-valued noise to their inputs

A groupoidification of the fermion algebra

In this paper, we consider the groupoidification of the fermion algebra. We construct a groupoid as the categorical analogues of the fermionic Fock space, and the creation and annihilation operators correspond to spans of groupoids. The categorical fermionic Fock states have some extra structures comparing with the normal forms. We also construct a 2-category of spans of groupoids corresponding to the fermion algebra. The relations of the morphisms in this 2-category are consistent with those in the graphical category which is represented by string diagrams.Comment: 10 pages, tikz diagram

Electroweak Sphaleron in Large Higgs Boson Mass Limit

Since the TRIVIALITY argument of the Higgs sector requires the existence of new physics beyond the standard model, there should exist a cutoff $\Lambda$ beyond which the standard model will breakdown. The cutoff can be determined from the position of the Landau pole. We study the effects of this cutoff on the energy of the electroweak sphaleron, $E^{spha}$, in the large Higgs boson mass limit. We found that $E^{spha}$ becomes arbitrarily large as the Higgs boson mass increases. This is in contrast to the well-known result, which is held in the standard model and a wide class of its extensions, that $E^{spha}$ is stable against the variation of the {\it bare} Higgs boson mass. The physical meaning of this result is discussed.Comment: Iowa State University Preprint, IS-J 5268, December 1993, 10 Pages, (TeX file

Edge Stability of BN sheets and Its Application for Designing Hybrid BNC Structures

First-principles investigations on the edge energies and edge stresses of single-layer hexagonal boron-nitride (BN) are presented. The armchair edges of BN nanoribbons (BNNRs) are more stable in energy than zigzag ones. Armchair BNNRs are under compressive edge stress while zigzag BNNRs are under tensile edge stress. The intrinsic spin-polarization and edge saturation play important roles in modulating the edge stability of BNNRs. The edge energy difference between BN and graphene could be used to guide the design of the specific hybrid BNC structures: in an armchair BNC nanoribbon (BNCNR), BN domains are expected to grow outside of C domains, while the opposite occurs in a zigzag BNCNR. More importantly, armchair BNCNRs can reproduce unique electronic properties of armchair graphene nanoribbons (GNRs), which are expected to be robust against edge functionalization or disorder. Within certain C/BN ratio, zigzag BNCNRs may exhibit intrinsic half-metallicity without any external constraints. These unexpected electronic properties of BNCNRs may offer unique opportunities to develop nanoscale electronics and spintronics beyond individual graphene and BN. Generally, these principles for designing BNC could be extended to other hybrid nanostructures.Comment: 6 figure

Suppression of spin-polarization in graphene nanoribbon by edge defect and impurity

We investigate the effect of edge defects (vacancies) and impurities (substitutional dopants) on the robustness of spin-polarization in graphene nanoribbons (GNRs) with zigzag edges, using density-functional-theory calculations. We found that the stability of the spin state and its magnetic moments decrease continuously with increasing concentration of defects or impurities. The system generally becomes non-magnetic at the concentration of one edge defect (impurity) per 10 angstrom. The spin suppression is shown to be caused by reduction and removal of edge states at the Fermi energy. Our analysis implies an important criterion on the GNR samples for spintronics applications.Comment: 10 pages, 5 figure

Dual solutions of Yang-Mills field theories in Minkowski space

Using spherical ansatz, we construct dual equations for non-abelian gauge fields in Minkowski space. The analytically continued instanton is shown to satisfy the dual equations but assumes a more ansatz. It is not the solution of MIT second order differential equation. The symmetries of the solution function space are examined. The relevant physics is reviewed.Comment: March/1994/IS