Abstract: Wax-based compositions for making barrier layers used in oral treatment devices are thermally stable when formed into a flat sheet or three-dimensional article to a temperature of at least 45° C. and are plastically deformable at room temperature (25° C.). The wax-based compositions include a wax fraction homogeneously blended with a polymer fraction. The wax fraction includes at least one wax and the polymer fraction includes at least one polymer selected such that, when the at least one wax and at least one polymer are homogeneously blended together, they yield a wax-based composition having the desired properties of thermal stability and plastic deformability. Barrier layers and oral treatment devices made from such wax-based compositions are dimensionally stable to a temperature of at least 40° C. without external support and can be plastically deformed in a user's mouth to become at least partially customized to the size and shape of user's unique dentition.

Abstract: A method for self-calibrating a sound pickup process that uses a microphone array in a wearable device that also includes a loudspeaker, where the microphone array being in a physical arrangement with respect to the loudspeaker. The method obtains, for each of several microphones of the microphone array, one or more transfer functions that each represent a response of the microphone to sound from a position in an acoustic space. The method determines whether a physical arrangement of the microphone array with respect to the loudspeaker has changed and adjusts the transfer function, for at least one of the microphones of the several microphones, in response to determining that the current physical arrangement of the microphone array with respect to the loudspeaker has changed.

Abstract: A hybrid quantum-classical (HQC) computer takes advantage of the available quantum coherence to maximally enhance the power of sampling on noisy quantum devices, reducing measurement number and runtime compared to VQE. The HQC computer derives inspiration from quantum metrology, phase estimation, and the more recent “alpha-VQE” proposal, arriving at a general formulation that is robust to error and does not require ancilla qubits. The HQC computer uses the “engineered likelihood function” (ELF)to carry out Bayesian inference. The ELF formalism enhances the quantum advantage in sampling as the physical hardware transitions from the regime of noisy intermediate-scale quantum computers into that of quantum error corrected ones. This technique speeds up a central component of many quantum algorithms, with applications including chemistry, materials, finance, and beyond.

Abstract: Model-free error correction in quantum processors is provided, allowing tailoring to individual devices. In various embodiments, a quantum circuit is configured according to a plurality of configuration parameters. The quantum circuit comprises an encoding circuit and a decoding circuit. Each of a plurality of training states is input to the quantum circuit. The encoding circuit is applied to each of the plurality of training states and to a plurality of input syndrome qubits to produce encoded training states. The decoding circuit is applied to each of the encoded training states to determine a plurality of outputs. A fidelity of the quantum circuit is measured for the plurality of training states based on the plurality of outputs. The fidelity is provided to a computing node. The computing node determines a plurality of optimized configuration parameters. The optimized configuration parameters maximize the accuracy of the quantum circuit for the plurality of training states.

Abstract: A quantum computer includes an efficient and exact quantum circuit for performing quantum state compression.

Abstract: A hybrid quantum-classical (HQC) computer takes advantage of the available quantum coherence to maximally enhance the power of sampling on noisy quantum devices, reducing measurement number and runtime compared to VQE. The HQC computer derives inspiration from quantum metrology, phase estimation, and the more recent “alpha-VQE” proposal, arriving at a general formulation that is robust to error and does not require ancilla qubits. The HQC computer uses the “engineered likelihood function” (ELF) to carry out Bayesian inference. The ELF formalism enhances the quantum advantage in sampling as the physical hardware transitions from the regime of noisy intermediate-scale quantum computers into that of quantum error corrected ones. This technique speeds up a central component of many quantum algorithms, with applications including chemistry, materials, finance, and beyond.

Abstract: A method and apparatus are disclosed for estimating ground state properties of molecules and materials with high accuracy on a hybrid quantum-classical computer using low-depth quantum circuits. The ground stat energy is estimated for a Hamiltonian (H) matrix characterizes a physical system. For an observable (O), samples are run on a parameterized Hadamard test circuit, the outcomes are evaluated, and the expectation value (p0) of the observable (O) is estimated with respect to the ground state energy. A weighted expectation value p0O0 is estimated, and the ground state property ?0|O|?0 is calculated. Applications include Green's functions used to compute electron transport in materials, and the one-particle reduced density matrices used to compute electric dipoles of molecules. In another aspect, the disclosed technology is applicable to early fault-tolerant quantum computers for carrying out molecular-level and materials-level calculations.

Abstract: Computer-implemented methods and systems define hardware constraints for quantum processors such that the time required to estimate the energy expectation value of a given fermionic Hamiltonian using the method of Bayesian Optimized Operator Expectation Algorithm (BOOEA) is minimized.

Abstract: A hybrid quantum classical (HQC) computer, which includes both a classical computer component and a quantum computer component, implements improvements to the quantum approximate optimization algorithm (QAOA) which enable QAOA to be applied to valuable problem instances (e.g., those including several thousand or more qubits) using near-term quantum computers.

Abstract: A method and system are provided for estimating ground state and excited state energies of fermionic Hamiltonians using a classically-boosted Variational Quantum Eigensolver (VQE). The disclosed technology overcomes the drawbacks of prior VQE methods, which require large numbers of circuit repetitions and excessive runtimes to achieve precision, especially when implemented using Noisy Intermediate-Scale Quantum NISQ) devices. The disclosed classically-boosted VQE provides an estimation of expectation values using classical methods. The quantum computer is not used to prepare the trial state, but instead uses the difference between the trial state and a classical tractable approximation to the target state. Ground-state energy estimations are provided at an accelerated rate. Also, the measurement reduction of single basis state boosting of conventional VQE, may be estimated using only the overlap between the ground state and the computational basis state used for boosting.

Abstract: A quantum computer includes an efficient and exact quantum circuit for performing quantum state compression.

Abstract: A quantum computer or a hybrid quantum-classical (HQC) computer leverages the power of noisy intermediate-scale quantum (NISQ) superconducting quantum processors at and/or beyond the supremacy regime to evaluate the ground state energy of an electronic structure Hamiltonian.

Abstract: A quantum computer or a hybrid quantum-classical (HQC) computer leverages the power of noisy intermediate-scale quantum (NISQ) superconducting quantum processors at and/or beyond the supremacy regime to evaluate the ground state energy of an electronic structure Hamiltonian.

Abstract: Hybrid quantum-classical generative models for learning data distributions are provided. In various embodiments, methods of and computer program products for operating a Helmholtz machine are provided. In various embodiments, methods of and computer program products for operating a generative adversarial network are provided. In various embodiments, methods of and computer program products for variational autoencoding are provided.

Abstract: A hybrid quantum-classical (HQC) computer takes advantage of the available quantum coherence to maximally enhance the power of sampling on noisy quantum devices, reducing measurement number and runtime compared to VQE. The HQC computer derives inspiration from quantum metrology, phase estimation, and the more recent “alpha-VQE” proposal, arriving at a general formulation that is robust to error and does not require ancilla qubits. The HQC computer uses the “engineered likelihood function” (ELF) to carry out Bayesian inference. The ELF formalism enhances the quantum advantage in sampling as the physical hardware transitions from the regime of noisy intermediate-scale quantum computers into that of quantum error corrected ones. This technique speeds up a central component of many quantum algorithms, with applications including chemistry, materials, finance, and beyond.

Abstract: Model-free error correction in quantum processors is provided, allowing tailoring to individual devices. In various embodiments, a quantum circuit is configured according to a plurality of configuration parameters. The quantum circuit comprises an encoding circuit and a decoding circuit. Each of a plurality of training states is input to the quantum circuit. The encoding circuit is applied to each of the plurality of training states and to a plurality of input syndrome qubits to produce encoded training states. The decoding circuit is applied to each of the encoded training states to determine a plurality of outputs. A fidelity of the quantum circuit is measured for the plurality of training states based on the plurality of outputs. The fidelity is provided to a computing node. The computing node determines a plurality of optimized configuration parameters. The optimized configuration parameters maximize the accuracy of the quantum circuit for the plurality of training states.

Abstract: A hybrid quantum classical (HQC) computer, which includes both a classical computer component and a quantum computer component, implements improvements to expectation value estimation in quantum circuits, in which the number of shots to be performed in order to compute the estimation is reduced by applying a quantum circuit that imposes an orbital rotation to the quantum state during each shot instead of applying single-qubit context-selection gates. The orbital rotations are determined through the decomposition of a Hamiltonian or another objective function into a set of orbital frames. The variationally minimized expectation value of the Hamiltonian or the other objective function may then be used to determine the extent of an attribute of the system, such as the value of a property of the electronic structure of a molecule, chemical compound, or other extended system.

Abstract: A hybrid quantum classical (HQC) computer, which includes both a classical computer component and a quantum computer component, implements improvements to the quantum approximate optimization algorithm (QAOA) which enable QAOA to be applied to valuable problem instances (e.g., those including several thousand or more qubits) using near-term quantum computers.

Abstract: A quantum optimization system and method estimate, on a classical computer and for a quantum state, an expectation value of a Hamiltonian, expressible as a linear combination of observables, based on expectation values of the observables; and transform, on the classical computer, one or both of the Hamiltonian and the quantum state to reduce the expectation value of the Hamiltonian.

Abstract: A dispensing apparatus and method are disclosed for dispensing sheet material from at least one roll of the sheet material. Dispensing is transferred from a stub roll to a reserve roll automatically in response to sensing a predetermined quantity of the stub roll. An isolating element is provided to lift the reserve roll out of contact with dispensing rollers during dispensing of sheet material from the stub roll, and a nipping element is provided to nip sheet material of the reserve roll when dispensing is transferred from the stub roll to the reserve roll. A cam controls movement of both the isolating element and the nipping element. Structure is also provided for sensing the diameter of the reserve roll of sheet material and providing an indication when the reserve roll is a predetermined diameter. The dispenser is quiet and capacity efficient.