Abstract: Measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge is described. Various issues that would arise when realizing it in fractional quantum Hall systems are discussed.

Abstract: A computer-implemented method for encryption and decryption using quantum computational model is disclosed. Such a method includes providing a model of a lattice having a system of non-abelian anyons disposed thereon. From the lattice model, a first quantum state associated with the lattice is determined. Movement of non-abelian anyons within the lattice is modeled to model formation of first and second quantum braids in the space-time of the lattice. The first quantum braid corresponds to first text. The second quantum braid corresponds to second text. A second quantum state associated with the lattice is determined from the lattice model after formation of the first and second quantum braids has been modeled. The second quantum state corresponds to second text that is different from the first text.

Abstract: Disclosed herein is a topologically protected ?/8-gate which becomes universal when combined with the gates available through quasi-particle braiding and planar quasi-particle interferometry. A twisted interferometer, and a planar ?/8-gate in CTS, implemented with the help of the twisted interferometer, are disclosed. Embodiments are described in the context of state X (CTS) supported by an ISH, although the concept of a twisted-interferometer is more general and has relevance to all anionic, i.e. quasiparticle systems.

Abstract: Disclosed herein is a topologically protected ?/8-gate which becomes universal when combined with the gates available through quasi-particle braiding and planar quasi-particle interferometry. A twisted interferometer, and a planar ?/8-gate in CTS, implemented with the help of the twisted interferometer, are disclosed. Embodiments are described in the context of state X (CTS) supported by an ISH, although the concept of a twisted-interferometer is more general and has relevance to all anionic, i.e. quasiparticle systems.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such quantum computational systems may include quantum computers, quantum cryptography systems, quantum information processing systems, quantum storage media, and special purpose quantum simulators.

Abstract: A computer-implemented method for encryption and decryption using a quantum computational model is disclosed. Such a method includes providing a model of a lattice having a system of non-abelian anyons disposed thereon. From the lattice model, a first quantum state associated with the lattice is determined. Movement of non-abelian anyons within the lattice is modeled to model formation of first and second quantum braids in the space-time of the lattice. The first quantum braid corresponds to first text. The second quantum braid corresponds to second text. A second quantum state associated with the lattice is determined from the lattice model after formation of the first and second quantum braids has been modeled. The second quantum state corresponds to second text that is different from the first text.

Abstract: An adaptive learning system and method provides for automatically generating question types to a user for word comprehension and selecting multiple choice answers for display. Questions are developed for the user by obtaining online content and indexing the content into individual sentences and questions. The system provides questions in a series of rounds to the user and then adaptively tracks the progress of the user based on the categorization of each question.

Abstract: Disclosed herein are efficient geometries for dynamical topology changing (DTC), together with protocols to incorporate DTC into quantum computation. Given an Ising system, twisted depletion to implement a logical gate T, anyonic state teleportation into and out of the topology altering structure, and certain geometries of the (1,?2)-bands, a classical computer can be enabled to implement a quantum algorithm.

Abstract: Disclosed herein is a protocol that enables the ?/8-gate in chiral topological superconductors in which superconducting stiffness ? has been suppressed. The protocol enables a topologically protected ?/8-gate in any pure Ising system that can be fabricated into genus=1 surface. By adding the ?/8-gate to previously known techniques, a design for universal topologically protected quantum computation which may be implemented using rather conventional materials may be obtained.

Abstract: A computer-implemented method for encryption and decryption using a quantum computational model is disclosed. Such a method includes providing a model of a lattice having a system of non-abelian anyons disposed thereon. From the lattice model, a first quantum state associated with the lattice is determined. Movement of non-abelian anyons within the lattice is modeled to model formation of first and second quantum braids in the space-time of the lattice. The first quantum braid corresponds to first text. The second quantum braid corresponds to second text. A second quantum state associated with the lattice is determined from the lattice model after formation of the first and second quantum braids has been modeled. The second quantum state corresponds to second text that is different from the first text.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice according to at least one predefined rule, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice. Various platforms can be used to physically implement such a quantum computer. Platforms include an optical lattice, a Josephson junction array, a quantum dot, and a crystal structure. Each platform comprises an appropriate array of associated sites that can be used to approximate a desired Kagome geometry. A charge controller is desirably electrically coupled to the platform so that the array may be manipulated as desired.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such quantum computational systems may include quantum computers, quantum cryptography systems, quantum information processing systems, quantum storage media, and special purpose quantum simulators.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such quantum computational systems may include quantum computers, quantum cryptography systems, quantum information processing systems, quantum storage media, and special purpose quantum simulators.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice according to at least one predefined rule, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice. A topological quantum computer encodes information in the configurations of different braids. The computer physically weaves braids in the 2D+1 space-time of the lattice, and uses this braiding to carry out calculations. A pair of quasi-particles, such as non-abelian anyons, can be moved around each other in a braid-like path. The quasi-particles can be moved as a result of a magnetic or optical field being applied to them, for example.

Abstract: Measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge is described. Various issues that would arise when realizing it in fractional quantum Hall systems are discussed.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice according to at least one predefined rule, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice according to at least one predefined rule, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice.

Abstract: Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice.

Abstract: A computer-implemented system and method to detect and characterize middleboxes is disclosed.