Abstract: A fault-tolerant quantum computing scheme implements quantum computing based on three-dimensional cluster states using just a small number of physical components. The technique may be implemented using a single actively controlled qubit [100], e.g., a quantum emitter, and a pair of delay line loops [106, 108], which can be physically realized using existing technologies in quantum photonic and phononic systems. A three-dimensional cluster state is prepared by using the actively con-trolled qubit to generate data qubits that propagate through the two delay line loops, interact with the actively controlled qubit, and then are measured by a detector [110].

Abstract: Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.

Abstract: Systems and methods for generating random quantum states or benchmarking quantum machines.

Abstract: Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.

Abstract: The present disclosure describes an interferometer interfering a plurality of bosonic particles at one or more inputs so as to form one or more first outputs, one or more second outputs, and one or more third outputs. The one or more third outputs output one or more purified bosonic particles depending on the presence of absence of bosonic particles at the first outputs and second outputs.

Abstract: Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.

Abstract: Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.

Abstract: Systems and methods are disclosed for a pulse sequence that reduces disorder and/or interaction effects in spin systems. A protocol can be used to design a pulse sequence that includes altering the frame orientation of the spin system with each electromagnetic pulse in the pulse sequence. The frame orientations during the sequence can conform to certain conditions. The number positive rotations along each axis can be the same as the number negative rotations along the respective axis. The number of rotations along one axis should be the same as the number of rotations along the other axes.

Abstract: A pressure chamber has a chamber wall. The chamber wall includes a sensor integrated within the chamber wall, wherein the sensor integrated in the chamber wall comprises defects. A method of determining an effect of pressure on a material is further described. The method includes applying pressure to a material within a pressure chamber and to a pressure chamber wall of the pressure chamber, where the pressure chamber wall has defects. A signal from the defects is sensed while the material and the pressure chamber wall are under pressure. A property of the material is determined based on the sensed signal.

Abstract: Systems and methods for quantum convolutional neural networks are described. Systems and methods can apply convolving and pooling layers to input qudits. The qudits can be measured to identify information about the input qudits. Systems and methods can also apply quantum convolutional neural network encoding and decoding techniques for quantum error correction.

Abstract: Systems and methods relate to selectively arranging a plurality of qubits into a spatial structure to encode a quantum computing problem. Exemplary arrangement techniques can be applied to encode various quantum computing problems. The plurality of qubits can be driven according to various driving techniques into a final state. The final state can be measured to identify an exact or approximate solution to the quantum computing problem.

Abstract: A method for probing the properties of nanoscale materials, such as 2D materials or proteins, via nanometer-scale nuclear quadrupole resonance (NQR) spectroscopy using individual atom-like impurities in diamond. Coherent manipulation of shallow nitrogen-vacancy (NV) color centers enables the probing of the NQR spectrum of nanoscale ensembles of nuclear spins. Measuring the NQR spectrum at different magnetic field orientations and magnitudes and fitting to a theoretical model allows for the extraction of atomic structural properties of the material with nanoscale resolution.

Abstract: Systems and methods are disclosed for a pulse sequence that reduces disorder and/or interaction effects in spin systems. A protocol can be used to design a pulse sequence that includes altering the frame orientation of the spin system with each electromagnetic pulse in the pulse sequence. The frame orientations during the sequence can conform to certain conditions. The number positive rotations along each axis can be the same as the number negative rotations along the respective axis. The number of rotations along one axis should be the same as the number of rotations along the other axes.

Abstract: A method for probing the properties of nanoscale materials, such as 2D materials or proteins, via nanometer-scale nuclear quadrupole resonance (NQR) spectroscopy using individual atom-like impurities in diamond. Coherent manipulation of shallow nitrogen-vacancy (NV) color centers enables the probing of the NQR spectrum of nanoscale ensembles of nuclear spins. Measuring the NQR spectrum at different magnetic field orientations and magnitudes and fitting to a theoretical model allows for the extraction of atomic structural properties of the material with nanoscale resolution.

Abstract: A method for quantum metrology using stable non-equilibrium states of quantum matter, such as many-body quantum spin systems, is disclosed. The approach can utilize quantum correlations in such many-body quantum spin systems stabilized by strong interactions and periodic driving for reduction of noise. As an example, an exemplary protocol to perform Floquet enhanced measurements of an oscillating magnetic field in Ising-interacting spin systems is provided. These approaches allow for circumvention of the interaction-induced decoherence associated with high density spin ensembles and is robust to the presence of noise and imperfections. The protocol is applicable to nanoscale magnetic sensing and other precision measurements.

Abstract: Systems and methods relate to arranging atoms into 1D and/or 2D arrays; exciting the atoms into Rydberg states and evolving the array of atoms, for example, using laser manipulation techniques and high-fidelity laser systems described herein; and observing the resulting final state. In addition, refinements can be made, such as providing high fidelity and coherent control of the assembled array of atoms. Exemplary problems can be solved using the systems and methods for arrangement and control of atoms.

Abstract: According to some embodiments, a method for quantum metrology using these stable non-equilibrium states of quantum matter, such as many-body quantum spin systems, is disclosed. The approach can utilize quantum correlations in such many-body quantum spin systems stabilized by strong interactions and periodic driving for reduction of noise. As an example, disclosed is an exemplary protocol to perform Floquet enhanced measurements of an oscillating magnetic field in Ising-interacting spin systems. The approaches described herein allow for circumvention of the interaction-induced decoherence associated with high density spin ensembles and is robust to the presence of noise and imperfections. The protocol is applicable to nanoscale magnetic sensing and other precision measurements.

Abstract: A method of making measurements includes providing a sensor with at least one solid state electronic spin; irradiating the sensor with radiation from an electromagnetic radiation source that manipulates the solid state electronic spins to produce spin-dependent fluorescence, wherein the spin-dependent fluorescence decays as a function of relaxation time; providing a target material in the proximity of the sensor, wherein, thermally induced currents (Johnson noise) present in the target material alters the fluorescence decay of the solid state electronic spins as a function of relaxation time; and determining a difference in the solid state spins spin-dependent fluorescence decay in the presence and absence of the target material and correlating the difference with a property of the sensor and/or target material.

Abstract: A method of making measurements includes providing a sensor with at least one solid state electronic spin; irradiating the sensor with radiation from an electromagnetic radiation source that manipulates the solid state electronic spins to produce spin-dependent fluorescence, wherein the spin-dependent fluorescence decays as a function of relaxation time; providing a target material in the proximity of the sensor, wherein, thermally induced currents (Johnson noise) present in the target material alters the fluorescence decay of the solid state electronic spins as a function of relaxation time; and determining a difference in the solid state spins spin-dependent fluorescence decay in the presence and absence of the target material and correlating the difference with a property of the sensor and/or target material.