Abstract: A method for machine learning using a quantum system is provided. A neural network is associated with the quantum system. The method includes initializing the quantum system in an initial quantum state, and, for each configuration of a number of configurations taken from the training data set, encoding the configuration in input qubits that form a subset of the set of primary qubits, and, for each configuration of the number of configurations, performing N rounds of operations. Each round includes applying a sequence of unitary operators acting on at least a portion of the quantum system, and performing a measurement of at least a portion of the quantum system. The method includes performing a measurement of one or more ancillary qubits. The method includes, based at least on the measurement of the one or more ancillary qubits, determining at least one weight of a connection of the plurality of connections.

Abstract: A method of determining a quantum operation control layout for a quantum computation on a quantum system is provided. The quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh. Vertices of the mesh represent possible sites for the constituents of the quantum system. Each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in that cell are possible during the quantum computation. The method includes providing a data set including data representing hyperedges of a hypergraph. The method includes determining a set of generalized cycles. The method includes determining a mesh mapping that maps data representing the hyperedges of the hypergraph or of the enlarged hypergraph to the vertices of the mesh. The method includes generating the quantum operation control layout. The quantum operation control layout includes data indicating layout vertices of the mesh.

Abstract: A method of computing a solution to a computational problem (452) using a quantum system (420) comprising a plurality of qubits (100) is provided. The method includes encoding the computational problem into a problem Hamiltonian (482) of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian comprising a plurality of adjustable parameters, and wherein the encoding comprises determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method includes evolving an initial Hamiltonian (460) of the quantum system at an initial time (46) into a final Hamiltonian (480) of the quantum system at a final time (48) via an intermediate Hamiltonian (470) of the quantum system at an intermediate time (47), wherein the intermediate time is between the initial time and the final time. The intermediate Hamiltonian is a linear combination of the initial Hamiltonian, the final Hamiltonian and a first short-range Hamiltonian (475).

Abstract: A method of performing a quantum computation includes providing a quantum system comprising a plurality of qubits. The method includes encoding a computational problem into a problem Hamiltonian of the quantum system. The problem Hamiltonian is a single-body Hamiltonian comprising a plurality of adjustable parameters. The encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method includes performing N rounds of operations, wherein N?2. Each round of the N rounds of operations includes determining a sequence of unitary operators, wherein each unitary operator in the sequence is a unitary operator being a unitary time evolution of the problem Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration, or a unitary operator being a product of two or more short-range unitary operators.

Abstract: A method of computing a solution to a computational problem using a quantum system comprising a plurality of qubits is provided. The method includes encoding the computational problem into a problem Hamiltonian of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian including a plurality of adjustable parameters, and wherein the encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method further includes evolving the quantum system from an initial quantum state towards a ground state of a final Hamiltonian of the quantum system, wherein the final Hamiltonian is the sum of the problem Hamiltonian and a short-range Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration and wherein the short-range Hamiltonian is a d-body Hamiltonian, wherein d is independent of the computational problem.

Abstract: A method of computing a solution to a computational problem using a quantum system comprising a plurality of qubits is provided. The method includes encoding the computational problem into a problem Hamiltonian of the quantum system, wherein the problem Hamiltonian is a single-body Hamiltonian including a plurality of adjustable parameters, and wherein the encoding includes determining, from the computational problem, a problem-encoding configuration for the plurality of adjustable parameters. The method further includes evolving the quantum system from an initial quantum state towards a ground state of a final Hamiltonian of the quantum system, wherein the final Hamiltonian is the sum of the problem Hamiltonian and a short-range Hamiltonian, wherein the plurality of adjustable parameters of the problem Hamiltonian are in the problem-encoding configuration and wherein the short-range Hamiltonian is a d-body Hamiltonian, wherein d is independent of the computational problem.

Abstract: A system for controlling a controllable gastric band (1), having a control unit (11), wherein the gastric band (1) includes a nonextensible back (4) and a chamber (2) arranged on the stoma side of the back and capable of being filled with a fluid, which chamber is in connection with a second chamber (5) and has at least one sensor (7) for the detection of the pressure on the gastric wall. The sensor (7) can be connected with a device (8) for the wireless transmission of the detected pressure values to the control unit (11). The control unit (11) can include a device (13) for receiving transmitted pressure data from the at least one sensor (7). Also, at least one memory (9, 14) for storing the pressure values detected and a device (16) for processing the time courses of the pressure values detected.

Abstract: The invention relates to an adjustable stomach band with a rigid back and a chamber, arranged on the stoma side of the back, for control of stoma constriction by means of introduction or removal of fluid from the chamber. According to the invention, such a stomach band with a preferably automatic setting of the stoma constriction, depending on the food intake, is possible, whereby a second chamber is provided to the stoma side of the back, directly connected to, or cooperating with the first chamber, such that the control of the stoma constriction is achieved by means of displacing the fluid between the chambers or between a reservoir and the stoma-constricting chamber. An auto-regulation can be achieved, whereby a second chamber is embodied as sensor for recording a pressure rise in the stomach and the control of the stoma constriction is achieved depending on the recorded pressure by means of displacement of the fluid from the chamber, or from the reservoir into the stoma-constricting chamber.

Abstract: The invention relates to a controllable stomach band (1) comprising a non-extendible rear (4) and a chamber (2) which is arranged on the stomach-side of the rear (4) and is used to control the restriction of the stomach by the supply or discharge of a liquid or a fluid into or out of the chamber (2). The aim of the invention is create one such stomach band (2), with which, during a corresponding rise in pressure in the stomach-restricting chamber (2), triggered for example by the passage of a swallowed bolus, the stomach can be temporarily enlarged to enable the bolus to pass easily and liquid to flow out via the stomach opening. To this end, a pressure chamber (6) is provided outside the rear (4), said pressure chamber being connected to the stomach-restricting chamber (2) by means of a pressure valve (5).

Abstract: The invention relates to system for controlling a controllable gastric band (1), comprising a control unit (11), wherein the gastric band (1) includes a nonextensible back (4) and a chamber (2) arranged on the stoma side of the back and capable of being filled with a fluid, which chamber is in connection with a second chamber (5) and has at least one sensor (7) for the detection of the pressure on the gastric wall, and wherein the sensor (7) is connected with a device (8) for the wireless transmission of the detected pressure values to the control unit (11), and wherein the control unit (11) includes a device (13) for receiving transmitted pressure data from the at least one sensor (7) of the gastric band (1), as well as a housing (12). In order to ensure the optimum adjustment of the gastric band (1) and a self-control by the patient (P), at least one memory (9, 14) for storing the pressure values detected and a device (16) for processing the time courses of the pressure values detected are provided.

Abstract: The invention relates to an adjustable stomach band with a rigid back (4) and a chamber (2), arranged on the stoma side of the back (4), for control of stoma constriction by means of introduction or removal of fluid from the chamber (2). According to the invention, such a stomach band with a preferably automatic setting of the stoma constriction, depending on the food intake, is possible, whereby a second chamber (1) is provided to the stoma side of the back (4), directly connected to, or cooperating with the first chamber (2), such that the control of the stoma constriction is achieved by means of displacing the fluid between the chambers (1, 2) or between a reservoir (9) and the stoma-constricting chamber (2).

Abstract: The invention relates to an adjustable stomach band with a rigid back and a chamber, arranged on the stoma side of the back, for control of stoma constriction by means of introduction or removal of fluid from the chamber. According to the invention, such a stomach band with a preferably automatic setting of the stoma constriction, depending on the food intake, is possible, whereby a second chamber is provided to the stoma side of the back, directly connected to, or cooperating with the first chamber, such that the control of the stoma constriction is achieved by means of displacing the fluid between the chambers or between a reservoir and the stoma-constricting chamber. An auto-regulation can be achieved, whereby a second chamber is embodied as sensor for recording a pressure rise in the stomach and the control of the stoma constriction is achieved depending on the recorded pressure by means of displacement of the fluid from the chamber, or from the reservoir into the stoma-constricting chamber.

Abstract: The invention relates to a controllable stomach band (1) comprising a non-extendible rear (4) and a chamber (2) which is arranged on the stomach-side of the rear (4) and is used to control the restriction of the stomach by the supply or discharge of a liquid or a fluid into or out of the chamber (2). The aim of the invention is create one such stomach band (2), with which, during a corresponding rise in pressure in the stomach-restricting chamber (2), triggered for example by the passage of a swallowed bolus, the stomach can be temporarily enlarged to enable the bolus to pass easily and liquid to flow out via the stomach opening. To this end, a pressure chamber (6) is provided outside the rear (4), said pressure chamber being connected to the stomach-restricting chamber (2) by means of a pressure valve (5).

Abstract: The invention relates to an adjustable stomach band with a rigid back (4) and a chamber (2), arranged on the stoma side of the back (4), for control of stoma constriction by means of introduction or removal of fluid from the chamber (2). According to the invention, such a stomach band with a preferably automatic setting of the stoma constriction, depending on the food intake, is possible, whereby a second chamber (1) is provided to the stoma side of the back (4), directly connected to, or cooperating with the first chamber (2), such that the control of the stoma constriction is achieved by means of displacing the fluid between the chambers (1, 2) or between a reservoir (9) and the stoma-constricting chamber (2).