An arrangement for use in a matrix-vector-multiplier, comprising a stack of material layers arranged on a substrate, and a waveguide element formed in at least one material layer in the stack is disclosed. In one aspect, the arrangement further comprises a transducer arrangement which is coupled to the waveguide element. The transducer arrangement is configured to generate and detect spin wave(s) in the waveguide element, and wherein the waveguide element is configured to confine and to provide interference of the at spin wave(s) propagating therein. The arrangement further comprises a control mechanism comprising at least one control element coupled to the waveguide element, and a direct current electric source coupled to the at least one control element. The control mechanism, via the at least one control element, is configured to modify the phase velocity of the spin wave(s) propagating in the waveguide element.

Under one aspect, a method for performing an operation is provided. The method can include receiving, by different physical locations of a multi-mode waveguide, an input signal and a plurality of coefficients imposed on laser light. The method also can include generating, by the multi-mode waveguide, a speckle pattern based on the different physical locations, the input signal, and the plurality of coefficients. The method also can include adjusting at least one of the coefficients based on the speckle pattern.

In an example embodiment, a system is provided to perform a convolution operation via optical fields. The system may include, for example, a Fourier transform lens to compute the Fourier transform of data encoded onto a coherent optical field. The system may also include a spatial light modulator to encode a superimposed object and constant function onto an optical field. The system may also include a spatial light modulator to encode a pattern onto an optical field. The system may also include a detector to detect the optical field that encodes the results of the convolution. In various instances, the detector is configured to detect the intensity of the optical fields encoding the result of convolutions. The first spatial light modulator may vary the phase between the signal and constant functions for each convolution that is encoded onto the field.

The systems and methods disclosed may improve existing optical coupler and sparse coding problem solving technology. Optical coupler technology may be improved by the provision of a versatile, efficient, and rapid optical coupler that may be programmed. Sparse coding optimization technology may be improved by the provision of methods for converting a sparse coding optimization problem into a quadratic unconstrained binary optimization for minimization by an annealer (such as a programmable optical coupler), a quantum computer, or similar apparatus. When combined, the programmable optical coupler may solve sparse coding optimization problems particularly quickly and efficiently.

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.

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.

A method includes: providing input information in an electronic format; converting the electronic input information into an optical input vector; optically transforming the optical input vector into an optical output vector based on an optical matrix multiplication; converting the optical output vector into an electronic format; and electronically applying a non-linear transformation to the electronically converted optical output vector to provide output information in an electronic format. For example, a set of input values are encoded on respective optical signals. For each of at least two subsets of optical signals, a copying module splits the subset into multiple copies of the optical signals. For each copy of a first subset of optical signals, a corresponding multiplication module multiplies the optical signals of the first subset by matrix element values using optical amplitude modulation. A summation module produces an electrical signal representing a sum of the results of the multiplication modules.

Systems and methods that include: providing input information in an electronic format; converting at least a part of the electronic input information into an optical input vector; optically transforming the optical input vector into an optical output vector based on an optical matrix multiplication; converting the optical output vector into an electronic format; and electronically applying a non-linear transformation to the electronically converted optical output vector to provide output information in an electronic format.

In some examples, a set of multiple input values are encoded on respective optical signals carried by optical waveguides. For each of at least two subsets of one or more optical signals, a corresponding set of one or more copying modules splits the subset of one or more optical signals into two or more copies of the optical signals. For each of at least two copies of a first subset of one or more optical signals, a corresponding multiplication module multiplies the one or more optical signals of the first subset by one or more matrix element values using optical amplitude modulation. For results of two or more of the multiplication modules, a summation module produces an electrical signal that represents a sum of the results of the two or more of the multiplication modules.

A processor can scan a portion of a vector to identify first nonzero entries. The processor can scan another portion of the vector to identify second nonzero entries. The processor can scale a portion of a matrix using the first nonzero entries to generate first intermediate elements. The processor can scale another portion of the matrix using the second nonzero entries to generate second intermediate elements. The processor can store the first intermediate elements in a first buffer and store the second intermediate elements in a second buffer. The processor can copy a subset of the first intermediate elements from the first buffer to a memory and copy a subset of the second intermediate elements from the second buffer to the memory. The subsets of first and second intermediate elements can be aggregated to generate an output vector.

An apparatus and method for computing multiplication operations involving vectors, matrices or both, using a photonic computing architecture including an optical crossbar array. A compensation device is used to compensate for non-ideal characteristics of devices in the optical crossbar array. Apparatus and methods for representing negative-valued vectors of a multiplier in the multiplication operation are also provided.