Abstract: A computing system is provided, including a processor configured to identify a plurality of measurement sequences that implement a logic gate. Each measurement sequence may include a plurality of measurements of a quantum state of a topological quantum computing device. The processor may be further configured to determine a respective estimated total resource cost of each measurement sequence of the plurality of measurement sequences. The processor may be further configured to determine a first measurement sequence that has a lowest estimated total resource cost of the plurality of measurement sequences. The topological quantum computing device may be configured to implement the logic gate by applying the first measurement sequence to the quantum state.

Abstract: A quantum prediction AI system includes a quantum prediction circuit adapted to receive an input vector representing a subset of a time-sequential sequence; encode the input vector as a corresponding qubit register; apply a trained quantum circuit to the qubit register; and measure one or more qubits output from the quantum prediction circuit to infer a next data point in the series following the subset represented by the input vector.

Abstract: A computing system is provided, including a processor configured to identify a plurality of measurement sequences that implement a logic gate. Each measurement sequence may include a plurality of measurements of a quantum state of a topological quantum computing device. The processor may be further configured to determine a respective estimated total resource cost of each measurement sequence of the plurality of measurement sequences. The processor may be further configured to determine a first measurement sequence that has a lowest estimated total resource cost of the plurality of measurement sequences. The topological quantum computing device may be configured to implement the logic gate by applying the first measurement sequence to the quantum state.

Abstract: A computing system is provided, including a processor configured to identify a plurality of measurement sequences that implement a logic gate. Each measurement sequence may include a plurality of measurements of a quantum state of a topological quantum computing device. The processor may be further configured to determine a respective estimated total resource cost of each measurement sequence of the plurality of measurement sequences. The processor may be further configured to determine a first measurement sequence that has a lowest estimated total resource cost of the plurality of measurement sequences. The topological quantum computing device may be configured to implement the logic gate by applying the first measurement sequence to the quantum state.

Abstract: A computing system is provided, including a processor configured to identify a plurality of measurement sequences that implement a logic gate. Each measurement sequence may include a plurality of measurements of a quantum state of a topological quantum computing device. The processor may be further configured to determine a respective estimated total resource cost of each measurement sequence of the plurality of measurement sequences. The processor may be further configured to determine a first measurement sequence that has a lowest estimated total resource cost of the plurality of measurement sequences. The topological quantum computing device may be configured to implement the logic gate by applying the first measurement sequence to the quantum state.

Abstract: A quantum prediction AI system includes a quantum prediction circuit adapted to receive an input vector representing a subset of a time-sequential sequence; encode the input vector as a corresponding qubit register; apply a trained quantum circuit to the qubit register; and measure one or more qubits output from the quantum prediction circuit to infer a next data point in the series following the subset represented by the input vector.

Abstract: A computing system is provided, including a processor configured to identify a plurality of measurement sequences that implement a logic gate. Each measurement sequence may include a plurality of measurements of a quantum state of a topological quantum computing device. The processor may be further configured to determine a respective estimated total resource cost of each measurement sequence of the plurality of measurement sequences. The processor may be further configured to determine a first measurement sequence that has a lowest estimated total resource cost of the plurality of measurement sequences. The topological quantum computing device may be configured to implement the logic gate by applying the first measurement sequence to the quantum state.

Abstract: Methods are provided for exact synthesis of unitaries for qudit and multi-qubit systems. In addition, state preparation methods are provided. The syntheses produce circuits that have lowest cost for a given cost function.

Abstract: Methods are provided for exact synthesis of unitaries for qudit and multi-qubit systems. In addition, state preparation methods are provided. The syntheses produce circuits that have lowest cost for a given cost function.

Abstract: A target quantum circuit expressed in a first quantum gate basis may be transformed into a corresponding quantum circuit expressed in a second quantum gate basis, which may be a universal set of gates such as a V gate basis set. The target quantum circuit may be expressed as a linear combination of quantum gates. The linear combination of quantum gates may be mapped to a quaternion. The quaternion may be factorized, based at least in part on an amount of precision between the target quantum circuit and the corresponding quantum circuit expressed in the second quantum gate basis, into a sequence of quaternion factors. The sequence of quaternion factors may be mapped into a sequence of quantum gates of the second quantum gate basis, where the sequence of sequence of quantum gates is the corresponding quantum circuit.

Abstract: Distribution displays for categories are provided which illuminate the distribution of continuous attributes over all cases in a category, and which provide a histogram of the population of the different states of categorical attributes. An array of such displays by attribute (in one dimension) and category (in another dimension) may be provided. Category diagram displays are also provided for visualizing the different categories, and their distributions, populations, and similarities. These are displayed through different shading of nodes and edges representing categories and the relationship between two categories, and through proximity of nodes.

Abstract: A target quantum circuit expressed in a first quantum gate basis may be transformed into a corresponding quantum circuit expressed in a second quantum gate basis, which may be a universal set of gates such as a V gate basis set. The target quantum circuit may be expressed as a linear combination of quantum gates. The linear combination of quantum gates may be mapped to a quaternion. The quaternion may be factorized, based at least in part on an amount of precision between the target quantum circuit and the corresponding quantum circuit expressed in the second quantum gate basis, into a sequence of quaternion factors. The sequence of quaternion factors may be mapped into a sequence of quantum gates of the second quantum gate basis, where the sequence of sequence of quantum gates is the corresponding quantum circuit.

Abstract: Spam is identified by computing sender reputation derived from historical activity data across counts for various categories. A spam filter or machine learning system can be trained utilizing pre-categorized data in conjunction with activity data associated with a sender aggregated across at least one time period. This sender activity filter can be employed alone or in combination with other filters to facilitate classification of messages as spam or non-spam.

Abstract: Distribution displays for categories are provided which illuminate the distribution of continuous attributes over all cases in a category, and which provide a histogram of the population of the different states of categorical attributes. An array of such displays by attribute (in one dimension) and category (in another dimension) may be provided. Category diagram displays are also provided for visualizing the different categories, and their distributions, populations, and similarities. These are displayed through different shading of nodes and edges representing categories and the relationship between two categories, and through proximity of nodes.

Abstract: Various embodiments can utilize information that is displayed for a user to automatically generate a list of keywords and use that list as a means to display supplemental information that is relevant to the keywords. In at least some embodiments, the displayed information is analyzed using an extraction algorithm to identify words or, more generally, character strings of interest. If these words or character strings of interest are determined to constitute relevant search terms or “keywords”, then a special user interface portion can be used to display this supplemental information along with the information that is already displayed for the user. This supplemental information can include the search terms themselves, ads that pertain to the search terms, and/or search results that have been ascertained from a web search engine.

Abstract: A predictive model analysis system comprises a receiver component that receives predictive samples created by way of forward sampling. An analysis component analyzes a plurality of the received predictive samples and automatically determines whether a predictive model is reliable at a time range associated with the plurality of predictive sample, wherein the determination is made based at least in part upon an estimated norm associated with a forward sampling operator.

Abstract: Systems and methods to perform short text segment similarity measures. Illustratively, a short text segment similarity environment comprises a short text engine operative to process data representative of short segments of text and an instruction set comprising at least one instruction to instruct the short text engine to process data representative of short text segment inputs according to a selected short text similarity identification paradigm. Illustratively, two or more short text segments can be received as input by the short text engine and a request to identify similarities among the two or more short text segments. Responsive to the request and data input, the short text engine executes a selected similarity identification technique in accordance with the sort text similarity identification paradigm to process the received data and to identify similarities between the short text segment inputs.

Abstract: Spam is identified by computing sender reputation derived from historical activity data across counts for various categories. A spam filter or machine learning system can be trained utilizing pre-categorized data in conjunction with activity data associated with a sender aggregated across at least one time period. This sender activity filter can be employed alone or in combination with other filters to facilitate classification of messages as spam or non-spam.

Abstract: Distribution displays for categories are provided which illuminate the distribution of continuous attributes over all cases in a category, and which provide a histogram of the population of the different states of categorical attributes. An array of such displays by attribute (in one dimension) and category (in another dimension) may be provided. Category diagram displays are also provided for visualizing the different categories, and their distributions, populations, and similarities. These are displayed through different shading of nodes and edges representing categories and the relationship between two categories, and through proximity of nodes.

Abstract: Various embodiments can utilize information that is displayed for a user to automatically generate a list of keywords and use that list as a means to display supplemental information that is relevant to the keywords. In at least some embodiments, the displayed information is analyzed using an extraction algorithm to identify words or, more generally, character strings of interest. If these words or character strings of interest are determined to constitute relevant search terms or “keywords”, then a special user interface portion can be used to display this supplemental information along with the information that is already displayed for the user. This supplemental information can include the search terms themselves, ads that pertain to the search terms, and/or search results that have been ascertained from a web search engine.