Integrated computational elements having alternating layers of materials may be problematic to configure toward mimicking some regression vectors. Further, they sometimes may be inconvenient to use within highly confined locales. Integrated computational elements containing a quantum dot array may address these issues. Optical analysis tools with an integrated computational element can comprise: an electromagnetic radiation source that provides electromagnetic radiation to an optical pathway; an integrated computational element positioned within the optical pathway, the integrated computational element comprising a quantum dot array having a plurality of quantum dots disposed at a plurality of set array positions; and a detector that receives the electromagnetic radiation from the optical pathway after the electromagnetic radiation has optically interacted with a sample and the integrated computational element. Optical interaction of electromagnetic radiation with the quantum dots at one or more set array positions can substantially mimic a regression vector for a sample characteristic.

Optical systems for performing matrix-matrix multiplication in real time utilizing spatially coherent input light and wavelength multiplexing.

An apparatus includes a first optical circuit and a second optical circuit. The first optical circuit has a network of interconnected interferometers to perform an M-mode universal transformation on N input optical modes that are divided into (M1) groups of pulses. The first optical circuit also includes M input ports. Each input port of a first (M1) input ports is configured to receive a corresponding group of pulses in the (M1) groups of pulses. The first optical circuit also includes M output ports and a first delay line to couple an Mth output port with an Mth input port. The second optical circuit includes a network of beamsplitters and swap gates to perform a (2M3)-mode residual transformation. The first optical circuit and the second optical circuit are configured to perform an arbitrary N-mode unitary transformation to the N input optical modes via a rectangular architecture.

A quantum information processing system comprises a light source, a detector, at least one spatial light modulator and at least one optical lens. The light source is configured to provide a beam of entangled photons. The at least one optical lens is configured to project the resultant beam onto the spatial light modulator, either by direct imaging or by performing a full or partial optical Fourier transform. Said spatial light modulator includes a plurality of discrete pixels and is configured to select one or more of the plurality of discrete pixels to generate a resultant beam from said beam of entangled photons. The resultant beam from said spatial light modulator is projected onto the detector. For optical computation, such as search algorithms, the configuration and projections are repeated to find the optimal solution.

A quantum information processing system comprises a light source, a detector, at least one spatial light modulator and at least one optical lens. The light source is configured to provide a beam of entangled photons. The at least one optical lens is configured to project the resultant beam onto the spatial light modulator, either by direct imaging or by performing a full or partial optical Fourier transform. Said spatial light modulator includes a plurality of discrete pixels and is configured to select one or more of the plurality of discrete pixels to generate a resultant beam from said beam of entangled photons. The resultant beam from said spatial light modulator is projected onto the detector. For optical computation, such as search algorithms, the configuration and projections are repeated to find the optimal solution.

Systems and methods for performing matrix operations using a photonic processor are provided. The photonic processor includes encoders configured to encode a numerical value into an optical signal and optical multiplication devices configured to output an electrical signal proportional to a product of one or more encoded values. The optical multiplication devices include a first input waveguide, a second input waveguide, a coupler circuit coupled to the first input waveguide and the second input waveguide, a first detector and a second detector coupled to the coupler circuit, and a circuit coupled to the first detector and second detector and configured to output a current that is proportional to a product of a first input value and a second input value.

Photonic processors are described. The photonic processors described herein are configured to perform matrix multiplications (e.g., matrix vector multiplications). Matrix multiplications are broken down in scalar multiplications and scalar additions. Some embodiments relate to devices for performing scalar additions in the optical domain. One optical adder, for example, includes an interferometer having a plurality of phase shifters and a coherent detector. Leveraging the high-speed characteristics of these optical adders, some processors are sufficiently fast to support clocks in the tens of gigahertz of frequency, which represent a significant improvement over conventional electronic processors.

An optoelectronic computing system includes a first semiconductor die having a photonic integrated circuit (PIC) and a second semiconductor die having an electronic integrated circuit (EIC). The PIC includes optical waveguides, in which input values are encoded on respective optical signals carried by the optical waveguides. The PIC includes an optical copying distribution network having optical splitters. The PIC includes an array of optoelectronic circuitry sections, each receiving an optical wave from one of the output ports of the optical copying distribution network, and each optoelectronic circuitry section includes: at least one photodetector detecting at least one optical wave from the optoelectronic operation. The EIC includes electrical input ports receiving respective electrical values. The first semiconductor die and the second semiconductor die are electrically coupled in a controlled collapse chip connection, with the electrical output port of the PIC connected to one of the electrical input ports of the EIC.

Optical and electronic processors for calculating second-order and higher-order polynomials are described. A photonic processor can include an optical matrix multiplying unit OMMU that can perform vector-matrix multiplication. A portion of the inputs to the OMMU can be fed forward to combine with outputs from the OMMU when calculating polynomials. The described apparatus can also be used for probabilistic computing and polynomial combinatorial optimization.

An optical computing device includes a spatial light modulator that carries out binary modulation of carrier light for each cell and generates first signal light representing a first wave number space image and an optical modulation element group including two or more optical modulation elements that sequentially act on the first signal light.