Abstract: Aspects of the present disclosure relate generally to systems and methods for use in the implementation and/or operation of quantum information processing (QIP) systems, and more particularly, to the computation of joint probability distributions with quantum computers. Improvements in the computation of joint probability distributions are described by designing quantum machine learning algorithms to model copulas. Moreover, any copula is shown to be naturally mapped to a multipartite maximally entangled state. A variational ansatz referred to herein as a “qopula” creates arbitrary correlations between variables while maintaining the copula structure starting from a set of Bell pairs for two variables, or Greenberger-Horne-Zeilinger (GHZ) states for multiple variables. Generative learning algorithms may be demonstrated on quantum computers, and more particularly, in trapped-ion quantum computers. The approach described herein is shown to have advantages over classical models.

Abstract: A corner beam for concrete formwork that connects to other beams (e.g., cantilevered beams) can include various elements. In some examples of this disclosure, the corner beam does not need additional underneath support. In examples, the corner beam simplifies corner constructions and contributes to easier and safer corner formwork installation. For example, the corner beam can include end clips with a post (or other type of hook) that inserts into a pocket of the other beams. In addition, the corner beam can include a trough that extends along the side and that can connect to one or more other supports beams.

Abstract: A flare gas system for flaring high and low pressure flare gases, the system including a first flare gas assembly that has a central air pipe and first and second conduits in surrounding relationship to the air pipe. There is a first annulus formed between the air pipe and the first conduit, and a second annulus formed between the first conduit and the second conduit. A flow restrictor is disposed in the second annulus. A first gas handler conveys a first flare gas to the first flare gas assembly. A second flare gas assembly is connected to the first flare gas assembly and has a tubular housing in which is disposed a pressure operated valve assembly. A second flare gas handler distributes a second flare gas between the second annulus and the tubular housing. A single igniter can be used to ignite the gas from the first flare gas assembly and multiple second flare gas assemblies.

Abstract: Methods, systems, and apparatus for implementing a surface code cycle using iswap gates. In one aspect, a method includes applying a first entangling operation between a measure qubit in a ground state and a first data qubit, where the first entangling operation comprises a first iSWAP gate in sequence with the application of at least one other operation such that a result of applying the first entangling operation between the measure qubit and the first data qubit is equivalent to a result of applying a CZ gate between the measure qubit and the first data qubit; applying a second iSWAP gate between the measure qubit and a second data qubit; applying a third iSWAP gate between the measure qubit and a third data qubit; applying a second entangling operation between the measure qubit and a fourth data qubit; and measuring the measure qubit to detect errors.

Abstract: The flare gas system has a flare gas assembly having an air pipe with an open upper end, a first conduit in surrounding relationship to the air pipe and having a first conduit open upper end, a second conduit in surrounding relationship to the first conduit and having a second conduit upper end, and a third conduit in surrounding relationship to the second conduit and having a third conduit upper end, the upper ends of the air pipe, the first conduit and the second conduit being below the upper end of the third conduit, there being an air source connected to the air pipe to provide air to the air pipe at a desired flow rate. There is at least one second flare gas assembly operatively connected to the first flare gas assembly, the second flare gas assembly having a tubular housing in which is mounted a spring biased orifice plate, the tubular housing being in open communication with the annulus formed below the second and third conduits.

Abstract: Aspects of the present disclosure relate generally to systems and methods for use in the implementation and/or operation of quantum information processing (QIP) systems, and more particularly, to the computation of joint probability distributions with quantum computers. Improvements in the computation of joint probability distributions are described by designing quantum machine learning algorithms to model copulas. Moreover, any copula is shown to be naturally mapped to a multipartite maximally entangled state. A variational ansatz referred to herein as a “qopula” creates arbitrary correlations between variables while maintaining the copula structure starting from a set of Bell pairs for two variables, or Greenberger-Horne-Zeilinger (GHZ) states for multiple variables. Generative learning algorithms may be demonstrated on quantum computers, and more particularly, in trapped-ion quantum computers. The approach described herein is shown to have advantages over classical models.

Abstract: A flare gas assembly having an air pipe with an upper open end, a first conduit in surrounding relationship to the air pipe and having a first conduit upper end, a second conduit in surrounding relationship to the first conduit and having a second conduit upper end, and a third conduit in surrounding relationship to the second conduit and having a third conduit upper end, the upper ends of the air pipe, the first conduit and the second conduit being below the upper end of the third conduit, there being an air source connected to the air pipe to provide air to the air pipe at a desired flow rate.

Abstract: A flare gas assembly having an air pipe with an upper open end and a conduit in surrounding relationship to the air pipe. The conduit has a conduit upper end which extends above the upper open end of the air pipe, thereby forming a mixing chamber above the conduit's upper end and the upper end of the air pipe. A blower is connected to the air pipe to provide air for combustion purposes.

Abstract: Non-cylindrical plastic paint container with handle.

Abstract: A gas assist flare tip for enhancing smokeless combustion of a flare gas. The assist tip which has a shroud positioned on a flare stack, the shroud having an outer annular portion and an inner tubular portion which fits over the riser. There is an annular plenum which is partially formed by the tubular portion and the outer portion and has an annular vent proximate the open end of the riser. There is at least one air jet eductor having a discharge outlet opening into the plenum.

Abstract: A gas assist flare tip for enhancing smokeless combustion of a flare gas. The assist tip which has a shroud positioned on a flare stack, the shroud having an outer annular portion and an inner tubular portion which fits over the riser. There is an annular plenum which is partially formed by the tubular portion and the outer portion and has an annular vent proximate the open end of the riser. There is at least one air jet eductor having a discharge outlet opening into the plenum.

Abstract: A gas assist flare tip for enhancing smokeless combustion of a flare gas. The assist tip which has a shroud positioned on a flare stack, the shroud having an outer annular portion and an inner tubular portion which fits over the riser. There is an annular plenum which is partially formed by the tubular portion and the outer portion and has an annular vent proximate the open end of the riser. There is at least one air jet eductor having a discharge outlet opening into the plenum.

Abstract: A system for carrying a container comprising a plastic handle with tabs for insertion into slots on the container configured so that the tabs may be inserted when the handle is not in an upright or resting position.

Abstract: A gas assist flare tip for enhancing smokeless combustion of a flare gas. The assist tip which has a shroud positioned on a flare stack, the shroud having an outer annular portion and an inner tubular portion which fits over the riser. There is an annular plenum which is partially formed by the tubular portion and the outer portion and has an annular vent proximate the open end of the riser. There is at least one air jet eductor having a discharge outlet opening into the plenum.

Abstract: A gas assist flare tip for enhancing smokeless combustion of a flare gas. The assist tip which has a shroud positioned on a flare stack, the shroud having an outer annular portion and an inner tubular portion which fits over the riser. There is an annular plenum which is partially formed by the tubular portion and the outer portion and has an annular vent proximate the open end of the riser. There is at least one air jet eductor having a discharge outlet opening into the plenum.

Abstract: A paint container with internal mixing ribs.