A combinatorial optimization problem processing device is for associating a combinatorial optimization problem having N elements with an Ising model to process the combinatorial optimization problem. The combinatorial optimization problem processing device includes: a 1×2 Mach-Zehnder optical modulator that receives a polarized clock pulse train; an optical interference circuit that receives polarized clock pulse trains that were modulated by the Mach-Zehnder optical modulator; an optical coupler that couples output of the optical interference circuit with an initialization optical pulse train that creates a neutral state with respect to interactions between the elements; and a modulation signal generator that performs waveform shaping on an electrical signal obtained by photoelectrically converting an output signal of the optical coupler, generates a modulation signal for the Mach-Zehnder optical modulator, and externally outputs a monitor signal that represents a solution to the optimization problem. The optical interference circuit repeatedly allows a predetermined interaction in the Ising model to occur from the neutral state at a period corresponding to the N pulses of the polarized clock pulse train.

Provided is an optical signal processing apparatus capable of improving computing accuracy without increasing the number of nodes of a reservoir layer. An optical signal processing apparatus for converting an input one-dimensional signal to an optical signal to perform signal processing includes: an input unit configured to perform linear processing on the input one-dimensional signal to convert the input one-dimensional signal to an optical signal of multi-wavelength; a reservoir unit connected to an output of the input unit and configured to perform linear processing and nonlinear processing on the optical signal; and an output unit connected to an output of the reservoir unit and configured to convert the optical signal to an electrical signal and perform linear processing to output a one-dimensional output.

A trapped-ion quantum logic gate and a method of operating the trapped-ion quantum logic gate are provided. The trapped-ion quantum logic gate includes at least one ion having two internal states and forming a qubit having a qubit transition frequency ω.sub.0, a magnetic field gradient, and two microwave fields. Each of the two microwave fields has a respective frequency that is detuned from the qubit transition frequency ω.sub.0 by frequency difference δ. The at least one ion has a Rabi frequency Ω.sub.μ due to the two microwave fields and a Rabi frequency Ω.sub.g due to the magnetic field gradient. The method includes applying the magnetic field gradient and the two microwave fields to the at least one ion such that a quantity Ω.sub.g/δ is in a range between zero and 5×10.sup.−2.

A trapped-ion quantum logic gate and a method of operating the trapped-ion quantum logic gate are provided. The trapped-ion quantum logic gate includes at least one ion having two internal states and forming a qubit having a qubit transition frequency ω.sub.0, a magnetic field gradient, and two microwave fields. Each of the two microwave fields has a respective frequency that is detuned from the qubit transition frequency ω.sub.0 by frequency difference δ. The at least one ion has a Rabi frequency Ω.sub.μ due to the two microwave fields and a Rabi frequency Ω.sub.g due to the magnetic field gradient. The method includes applying the magnetic field gradient and the two microwave fields to the at least one ion such that a quantity Ω.sub.g/δ is in a range between zero and 5×10.sup.−2.

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.

One or more optical resonators are coupled to an optical waveguide in sequence. Each of the resonators includes a corresponding modulator. A signal controller is configured to electrically drive each modulator with a corresponding composite electrical signal. Each composite electrical signal includes two or more frequency components of a frequency comb defined by the one or more resonators. The result of this configuration is that an input-output relation between an input of the waveguide and an output of the waveguide is a linear transformation defined by the composite electrical signals using frequencies of the frequency comb as a basis. Such linear transformations can be reciprocal or non-reciprocal, unitary or non-unitary.

An optical arithmetic-logical unit [“ALU”] processes one or more combined input signals, which result from a combination of multiple elementary input signals, each of which comprises at least one polarization component. One of the combined input signals is a synchronization signal having a phase and an amplitude. At least one laser has an output and is configured to synchronize with the synchronization signal, wherein the synchronization of the laser with the synchronization input signal generates an output signal, which preserves the phase of the synchronization signal but normalizes its amplitude. Generation of the output signal by said normalization of the synchronization signal provides the ALU with a capability of performing one or more arithmetic-logical operations on the one or more combined input signals.

An optical arithmetic-logical unit [“ALU”] processes one or more combined input signals, which result from a combination of multiple elementary input signals, each of which comprises at least one polarization component. One of the combined input signals is a synchronization signal having a phase and an amplitude. At least one laser has an output and is configured to synchronize with the synchronization signal, wherein the synchronization of the laser with the synchronization input signal generates an output signal, which preserves the phase of the synchronization signal but normalizes its amplitude. Generation of the output signal by said normalization of the synchronization signal provides the ALU with a capability of performing one or more arithmetic-logical operations on the one or more combined input signals.

A quantum simulator includes a chamber, a light beam generation apparatus, and a photodetector. The light beam generation apparatus includes a light source, an optical mask, a spatial light modulator, and a lens. The optical mask includes an inner region having a rectangular shape with a side parallel to a first direction or a second direction, and an outer region surrounding the inner region. When an xy coordinate system including an x axis parallel to the first direction and a y axis parallel to the second direction is set on an image plane, the light beam generation apparatus forms and regularly arranges focusing spots such that a minimum value of a difference between x coordinate values and a minimum value of a difference between y coordinate values of center positions of the focusing spots are longer than a non-overlapping distance.

A quantum simulator includes a chamber, a light beam generation apparatus, and a photodetector. The light beam generation apparatus includes a light source, a spatial light modulator, and a lens. Each of pixels of the spatial light modulator has a rectangular shape with a side parallel to a first direction or a second direction, and the pixels are arranged at regular intervals along the first direction and the second direction. When an xy coordinate system including an x axis parallel to the first direction and a y axis parallel to the second direction is set on an image plane, the light beam generation apparatus forms and regularly arranges focusing spots such that a minimum value of a difference between x coordinate values and a minimum value of a difference between y coordinate values of center positions of the focusing spots are longer than a non-overlapping distance.