Abstract: 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.

Abstract: A tunable optical filter includes sequentially coupled Mach-Zehnder (MZ) interferometers. The first and last interferometers are configured to function as variable power splitter/combiner, whereas the middle interferometer or interferometers have unequal optical paths, creating a desired spectral response of the entire filter. The amplitude of the spectral response can be varied by varying the optical power splitting/combining ratios.

Abstract: 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.

Abstract: A device for generation of genuine random numbers, uses quantum stochastic processes in optical parametric nonlinear media. The dimensionality of the random numbers is varied from 2 to over 100,000. Their statistical properties, including the correlation function amongst random numbers, are tailored using linear and nonlinear optical circuits following the parametric nonlinear media. Both the generation and manipulation of random numbers are integrated on a single nanophotonics chip. By incorporating optoelectric effects, fast streams of random numbers are created in custom statistical properties, which are updated or reconfigured in real time, such as at 10 GHz speed. The unpredictability of the random numbers is quantifying by evaluating their min-entropy. The genuineness of quantum random numbers is tested using both statistical tools and independently verified by measuring the quantum entanglement between the photons in real time.

Abstract: Various embodiments provide for the implementation of volumetric diffractive optics equivalent functionality via cascaded planar elements. To illustrate the principle, a design 3D diffractive optics and implement a two-layer continuous phase-only design on a single spatial light modulator (SLM) with a folded system. The system provides dynamic and efficient multiplexing capability. Numerical and experimental results show this approach improves system performance such as diffraction efficiency, spatial/spectral selectivity, and number of multiplexing functions relative to 2D devices while providing dynamic large space-bandwidth relative to current static volume diffractive optics. The limitations and capabilities of dynamic 3D diffractive optics are discussed.

Abstract: An optical quantum state converter comprises an optical fiber input port configured to receive an optical signal comprising an optical quantum state at a first wavelength from an optical source. An optical combiner having a first input is coupled to the optical fiber input port. An optical pump source having an output that is coupled to a second input of the optical combiner provides an optical pump signal at a pump signal wavelength to a second input of the combiner. A nonlinear optical waveguide having an input that is coupled to an output of the optical combiner converts the optical quantum state at the first wavelength to an optical quantum state at a second wavelength determined by the optical pump signal.

Abstract: Systems, methods, and apparatuses for executing an instruction are described. In some embodiments, the instruction includes at least an opcode, a field for a packed data source operand, and a field for a packed data destination operand. When executed, the instruction causes for each data element position of the source operand, multiply to a value stored in that data element position all values stored in preceding data element positions of the packed data source operand and store a result of the multiplication into a corresponding data element position of the packed data destination operand.

Abstract: Integrated circuits with programmable logic regions are provided. The programmable logic regions may be organized into smaller logic units sometimes referred to as a logic element. A logic element may include four lookup tables coupled to an adder carry chain. At least some of the lookup tables are configured to output combinatorial outputs, whereas the adder carry chain are used to output sum outputs. Both the combinatorial outputs and the sum outputs may be used simultaneously to support a multiplication operation, three or more logic operations, or arithmetic and combinatorial operations in parallel.

Abstract: A system and method according to one embodiment are provided for random number generation based on measuring quadrature fluctuations of a single mode thermal state using an optical homodyne detector.

Abstract: An electro-optical directional coupler is provided having a substrate and a first and second optical waveguide formed on the substrate, where the second waveguide extends adjacent to and parallel with the first waveguide for at least one interaction length. The interaction length has a first end and a second end such that an optical signal applied only to one of the first and second waveguides couples to the other of the first and second waveguides between the ends. A first electrode is proximate the first and second waveguides and between the ends of the interaction length. A first voltage applied to the first electrode independently tunes a coupling of a TE mode. A second electrode located proximate the first and second waveguides and the first electrode and between the ends of the interaction length. A second voltage applied to the second electrode independently tunes a coupling of a TM mode.

Abstract: An electronic calculating device (100) arranged to perform obfuscated arithmetic in a commutative ring (ZM; Zn[x]/M(x)) defined by a combined modulus (M; M(x)) in a residue number system, the residue number system being defined for a series of moduli (m1, m2, . . . , mN), each modulus defining a commutative ring (ZM1; Zn[x]/m1(x)), for each modulus (mi) of the series there exists an associated base element (ui) satisfying the condition that each ring element (xj) modulo the modulus (mj) may be expressed as an integer-list ((aj, bj)) such that the ring elements equal a linear combination of powers of the base element (xj=uiaj?uibj), wherein the powers have exponents determined by the integer-list.

Abstract: Among the embodiments disclosed herein are quantum circuits (and associated compilation techniques) for performing Shor's quantum algorithm to factor n-bit integers. Example embodiments of the circuits use only 2n+2 qubits. In contrast to previous space-optimized implementations, embodiments of the disclosed technology feature a purely Toffoli-based modular multiplication circuit. Certain other example modular multiplication circuits disclosed herein are based on an (in-place) constant-adder that uses dirty ancilla qubits to achieve a size in (n log n) and a depth in (n).

Abstract: An apparatus may comprise a multi-dimensional memory, a plurality of matrix processors, and a matrix routine memory. The matrix routine memory may store a plurality of programmable matrix routines, wherein each programmable matrix routine comprises a plurality of instructions associated with a particular matrix operation, wherein the plurality of instructions is to be executed by the plurality of matrix processors. Further, the plurality of matrix processors may be configured to: receive a command to perform a matrix operation; receive matrix data from the multi-dimensional memory; extract one or more matrix operands from the matrix data; identify a programmable matrix routine associated with the matrix operation; receive the programmable matrix routine from the matrix routine memory; execute the programmable matrix routine using the one or more matrix operands; and obtain a result of the matrix operation based on execution of the programmable matrix routine.

Abstract: A process and system for producing random numbers by means of a quantum random number generator is disclosed, comprising the steps of operating a multimode laser in a laser cavity with periodic modulation of a net gain, and detecting the random intensity pattern produced by the inter-mode beating occurring within the laser cavity. The numbers produced are truly random and a minimal number of elements is required for operating the system.

Abstract: A computer system is operable to identify subfields that differ in two data elements using a bit matrix compare function between a first matrix filled with pattern elements and a reference pattern.

Abstract: The present invention discloses methods and devices for transmitting/obtaining information by visible light signals.

Abstract: A method for determining the position of impacts on an object comprising two acoustic sensors, and N active areas of said object, comprises the steps of: (a) receiving two acoustic signals S1(t) and S2(t); (b) calculating a sample signature function SIGS(?)=S1(?)?S2(?)*, where S1(?) and S2(?) are the respective Fourier transforms of S1(t) and S2(t), (c) comparing SIGS(?) with N predetermined reference signature functions SIGR,(?) corresponding to the predetermined area j for j from 1 to N; (d) determining the active area in which the impact occurred, on the basis of the comparison of step (c).

Abstract: A matrix processor and processing method, the processor including a data encoder for receiving an input data stream; a data controller coupled to the data encoder for arranging the input data in an operand matrix, at least one processing unit for processing the data in matrix form by Boolean matrix-matrix multiplication with a selected operator matrix, and an output control module coupled to the processing unit for outputting desired results therefrom.

Abstract: The invention is based on a process and system for producing random numbers by means of a quantum random number generator where the method comprises the steps of operating a laser in single mode and high modulation bandwidth by means of an electrical pulse driver, transforming the phase randomized optical pulses produced before in optical pulses with random amplitude and detecting the resulting random amplitude signals by means of a fast photodiode. The numbers thus produced are truly random.

Abstract: A two-dimensional transmission cross coefficient is obtained based on a function representing a light intensity distribution formed by an illumination apparatus on a pupil plane of the projection optical system and a pupil function of the projection optical system. Based on the two-dimensional transmission cross coefficient and data of a pattern on an object plane of the projection optical system, an approximate aerial image is calculated by using at least one of plural components of an aerial image on an image plane of the projection optical system. Data of a pattern of an original is produced based on the approximate aerial image.

Abstract: An optical correlation apparatus is described which forms first and second parallel optical signals in response to a serial input data stream. The first parallel optical signal is arranged to have bright pulses represent binary 1 and the second parallel optical signal is arranged to have bright pulses represent binary 0. A channel select means, such as an optical switch or amplitude modulator, deselects or blocks channels in the first parallel optical signal which correspond to binary 1 in a reference data string and also deselects or blocks channels in the second parallel optical signal which correspond to binary 0 in the reference data string. The remaining optical signals are combined at one or more detectors. Where the input data matches the reference data string each bright pulse in the first and second parallel optical signals is deselected and the detector registers zero intensity. However when there is any mismatch at least one channel will pass a bright pulse to the detector.

Abstract: A quantum bit computation method includes operating a two-quantum-bit gate on quantum bits of a first physical system and a second physical system, second energy states of second physical systems except for the first physical system and the second physical system do not change, three energy states being represented by |0>, |1> and |3>, the two energy states being represented by |2> and |4>, energies of |2> and |4> being higher than energies of |0>, |1> and |3>, a transition frequency between |3> and |2> being equal to the resonance frequency, |0> and |1> representing quantum bits, flipping quantum bits of first physical systems after operating the two-quantum-bit gate, executing no operations by a time equal to a time for operating the two-quantum-bit gate, after flipping the quantum bits, and again flipping the quantum bits of the first physical systems after executing no operations.

Abstract: A quantum bit computation method includes operating a two-quantum-bit gate on quantum bits of a first physical system and a second physical system, second energy states of second physical systems except for the first physical system and the second physical system do not change, three energy states being represented by |0>, |1> and |3>, the two energy states being represented by |2> and |4>, energies of |2> and |4> being higher than energies of |0>, |1> and |3>, a transition frequency between |3> and |2> being equal to the resonance frequency, |0> and |1> representing quantum bits, flipping quantum bits of first physical systems after operating the two-quantum-bit gate, executing no operations by a time equal to a time for operating the two-quantum-bit gate, after flipping the quantum bits, and again flipping the quantum bits of the first physical systems after executing no operations.

Abstract: A vector-matrix multiplier is disclosed which uses N different wavelengths of light that are modulated with amplitudes representing elements of an N×1 vector and combined to form an input wavelength-division multiplexed (WDM) light stream. The input WDM light stream is split into N streamlets from which each wavelength of the light is individually coupled out and modulated for a second time using an input signal representing elements of an M×N matrix, and is then coupled into an output waveguide for each streamlet to form an output WDM light stream which is detected to generate a product of the vector and matrix. The vector-matrix multiplier can be formed as an integrated optical circuit using either waveguide amplitude modulators or ring resonator amplitude modulators.

Abstract: An (N+1) number of physical systems each having five energy levels |0>, |1>, |2>, |3>, and |4>, a qubit being expressed by |0> and |1>, are provided in an optical cavity having a cavity mode resonant with |2>-|3>, such that an N number of control systems and a target system are prepared. The target system is irradiated with light pulses resonant with |0>-|4>, |1>-|4>, and |2>-|4> to change a superposed state |c> to |2>. All of the physical systems are irradiated with light pulses resonant with |0>-|3> and |1>-|3>, and a phase of the light pulse resonant with the target system is shifted by a specific value dependent on a unitary transformation U. The target system is irradiated with light pulses resonant with |0>-|4>, |1>-|4>, and |2>-|4>, with a phase difference between them being set to a specific value dependent on the unitary transformation U, to return |2> to |c>.

Abstract: An integrated VMM (vector-matrix multiplier) module, including an electro-optical VMM component that multiplies an input vector by a matrix to produce an output vector; and an electronic VPU (vector processing unit) that processes at least one of the input and output vectors. Various error reducing mechanisms are also discussed.

Abstract: An (N+1) number of physical systems each having five energy levels |0>, |1>, |2>, |3>, and |4>, a qubit being expressed by |0> and |1>, are provided in an optical cavity having a cavity mode resonant with |2>-|3>, such that an N number of control systems and a target system are prepared. The target system is irradiated with light pulses resonant with |0>-|4>, |1>-|4>, and |2>-|4> to change a superposed state |c> to |2>. All of the physical systems are irradiated with light pulses resonant with |0>-|3> and |1>-|3>, and a phase of the light pulse resonant with the target system is shifted by a specific value dependent on a unitary transformation U. The target system is irradiated with light pulses resonant with |0>-|4>, |1>-|4>, and |2>-|4>, with a phase difference between them being set to a specific value dependent on the unitary transformation U, to return |2> to |c>.

Abstract: A method of enhancing spectral data such as a frequency, wavelength or mass spectrum comprises applying an inverse Fourier Transform to the data in the frequency, wavelength or mass spectrum, zero-filling and, optionally, apodizing that inverse transform data, and then applying a Fourier Transform to convert the inverse data back into the frequency, wavelength or mass domain. The resultant processed spectrum provides a more accurate indication of peak location, shape and height.

Abstract: The present invention provides a digital phase estimator, a digital phase locked loop and an optical coherent receiver. The optical coherent receiver comprises a local oscillator laser, for supplying a local oscillator optical signal; an optical 90 degree frequency mixer, for mixing a received optical signal with the local oscillator optical signal; first and second balancing photoelectric detectors, for converting the optical signals outputted from the optical 90 degree frequency mixer into baseband electrical signals; first and second A/D converters, for respectively converting output signals from the first and the second balancing photoelectric detectors into digital signals; a digital phase locked loop, for compensating a phase difference between a carrier signal of the received optical signal and the local oscillator optical signal, and outputting the compensated signal; and a data recovering unit, for recovering data from the compensated signal.

Abstract: A micrometer-scale ion trap, fabricated on a monolithic chip using semiconductor micro-electromechanical systems (MEMS) technology. A single 111Cd+ ion is confined, laser cooled, and the heating measured in an integrated radiofrequency trap etched from a doped gallium arsenide (GaAs) heterostructure. Single 111Cd+ qubit ions are confined in a radiofrequency linear ion trap on a semiconductor chip by applying a combination of static and oscillating electric potentials to integrated electrodes. The electrodes are lithographically patterned from a monolithic semiconductor substrate, eliminating the need for manual assembly and alignment of individual electrodes. The scaling of this structure to hundreds or thousands of electrodes is possible with existing semiconductor fabrication technology.

Abstract: A two-dimensional transmission cross coefficient is obtained based on a function representing a light intensity distribution formed by an illumination apparatus on a pupil plane of the projection optical system and a pupil function of the projection optical system. Based on the two-dimensional transmission cross coefficient and data of a pattern on an object plane of the projection optical system, an approximate aerial image is calculated by using at least one of plural components of an aerial image on an image plane of the projection optical system. Data of a pattern of an original is produced based on the approximate aerial image.

Abstract: Techniques are provided for placing atoms inside an appropriate nanocavity for enhancing two-photon absorption and quantum information processing based on the Zeno effect. Techniques for fabricating suitable nanocavities include: 1) a short length of optical fiber polished on the ends with the ends coated to form suitable mirrors; 2) a continuous length of fiber with the equivalent of mirrors being formed within the fiber using Bragg gratings; 3) a single filament of glass (such as fused silica) being suspended between two mirrors (without any cladding) and surrounded by an atomic vapor, solid, or liquid; 4) a small glass sphere (such as fused silica) that has been melted on the end of an optical fiber; and 5) a small toroid (ring) of glass bent in a circle surrounded by suitable atoms.

Abstract: An apparatus for generating a quantum state of a two-qubit system including two qubits, each qubit being represented by a particle which invariably travels through one of two paths, includes a quantum gate composed of an interferometer for implementing an-interaction-free measurement. The apparatus receives two particles having no correlation and generates a Bell state with asymptotic probability 1. A Bell measurement of a state of a two-qubit system is performed by observing a quantum gate composed of the interferometer after the quantum gate has processed the state and selecting the state from the Bell bases. An approximate fidelity of a quantum gate composed of the interferometer is calculated, if an absorption probability with which a first particle absorbs a second particle in the interferometer is less than 1, under the condition that the number of times the second particle hits beam splitters in the interferometer is sufficiently large.

Abstract: Method and an optical computation device for obtaining an indication about the existence of a feasible solution for a bounded instance of a problem that belongs to the non-deterministic polynomial class of problems, using parallel optical computations employing a multitude of light rays simultaneously propagating along paths in an optical arrangement. An optical arrangement that can implement a universal non deterministic Turing Machine that can solve bounded instances of problems of the class is determined. An initial incoming ray is directed to a point in the optical arrangement, that represents the initial configuration of the universal non deterministic Turing Machine, such that the initial configuration corresponds to the bounded instance. Each incoming ray is split within the optical arrangement into two or more outgoing rays at pre-determined locations in the optical arrangement.

Abstract: There is provided an apparatus for processing a segment of x optical bit slots from a packet comprising y optical bit slots, each bit slot defining a respective one of first and second complementary logical states, within a time span shorter than or equal to the time for receipt of the packet. The apparatus including a segment replicator which generates serial copies of the segment of the packet, each copy residing within a respective word containing z bit slots, where z is equal to or greater than x; and a bit differential processor for processing successive bits of the successive copies of the segment in n successive processing steps, the product of n and z being less than or equal to y. The result of each processing step is output in sequence by the bit differential processor, the result of processing the segment being given by x successive bit slots of the output.

Abstract: An optical switch and optical storage loop are used as the basis of a single-photon source and a quantum memory for photonic qubits. To operate as a single-photon source, the techniques include a source of a pair of photons, such as a parametric down-conversion crystal, which is known to emit photons in pairs. The detection of one member of the pair activates the switch, which re-routes the other member into the storage loop. The stored photon is then known to be circulating in the loop, and can be switched out of the loop at a later time chosen by the user, providing a single photon for potential use in a variety of quantum information processing applications. To operate as a quantum memory for photonic qubits, a single-photon in an arbitrary initial polarization state is coherently stored in the loop, and coherently switched out of the loop when needed.

Abstract: Techniques for high fidelity quantum teleportation include receiving an input photon representing a qubit. Ancilla photons are generated in a particular ancilla quantum state chosen to reduce a rate of error below a threshold error rate. The ancilla and the input photon are combined to populate output channels. A number of photons representing logical value 1 are measured in a subset of the output channels. A particular output channel is determined based on the measured number of photons. A teleported photon is obtained at the particular output channel with an error rate below the threshold error rate. These techniques allow the ancilla quantum state to be chosen to minimize the error despite the presence of losses and noise. Quantum logic operations are performed by teleporting two input qubits with the quantum state of the ancilla chosen to produce the desired logical result and reduce the error.

Abstract: Techniques are provided that use the quantum Zeno effect to implement practical devices that use single photons as the qubits for quantum information processing. In the quantum Zeno effect, a randomly-occurring event is suppressed by frequent measurements to determine whether the event has occurred. The same results can be obtained by using atoms or molecules or ions to react to the occurrence of the event. Techniques include directing one or more input qubits onto a device and applying a quantum Zeno effect in the device. The quantum Zeno effect is applied by consuming one or more photons in the device under conditions in which photons, that would otherwise be output by the device, do not represent a result of a particular quantum information processing operation. Devices implemented using the quantum Zeno effect can operate with low error rates without the need for high efficiency detectors and large number of ancilla.

Abstract: An apparatus and method for controlling access to, or interaction with, a variety of different types of devices is provided. The system includes a plurality of different lights that flash sequentially, the lights being distinguishable on the basis of color, location within a light pattern, or labeling. Alternately the system includes a single light that sequentially flashes different colors. The user enters data into the system by responding to particular lights in accordance with a predetermined light sequence. Alternately, the user enters data by responding to a particular light where each light corresponds to a predefined response. In general, a user responds to a particular light by triggering a response with the system's controller while the particular light is lit or before the next light in the sequence becomes lit. A user can trigger a response in a variety of ways, ranging from blinking an eye to pressing or otherwise operating a mechanical switch.

Abstract: A method and apparatus for performing logic operations using quantum polarization states of single photons, include a first polarizing beam splitter having first input spatial modes and first output spatial modes for a first set of orthogonal polarizations. A second polarizing beam splitter has a second input spatial mode and second output spatial modes for a second set of orthogonal polarizations. The second set of orthogonal polarizations is different from the first set. The second input spatial mode is aligned with a first detected output spatial mode. A single photon detector of multiple single photon detectors is disposed along each one of the second output spatial modes. A first device output carries an output photon based in part on a number of photons detected by the single photon detectors. Such logic operations may be used in quantum computers for quantum information processing.

Abstract: The present invention relates to an apparatus for determining the sum of first and second optical binary words. The apparatus uses a first optical logic gate and a second optical logic gate to generate respective first and second combination words which represent a logical combination of the binary words applied to the respective logic gates. The first and second combination words are then offset by one bit slot with respect to each other by an offsetting device to generate first and second offset combination words. These offset combination words are repeatedly fed back to the first and second logic gates. The binary sum of the original two words is given by the first combination word when each bit slot of the second combination words has the same logical state.

Abstract: A system for data communication in a space illuminated by a plurality of illumination sources that are powered by a common power feed. The system includes a power modulation unit which is interposed in the common power feed, upstream of each of the illumination sources. The power modulation unit induces a change in the signal of the power feed in response to received data and effects variations in illumination intensity in the space provided by the illumination sources. The data is provided by a data source computer. At least one optical receiver is in the illuminated space and is in optical communication with at least one of the illumination sources. The optical receiver is responsive to changes in the incident light from the illumination sources resulting from the power modulation unit. The system can be used to communicate and display product data in an electronic shelf tag system.

Abstract: A logical element including an optical junction coupled to at least two optical inlets and to at least one optical outlet. Incoming light beams of coherent monochromatic light beams and the same uniform frequency are applied to the optical inlets, and their super-positioning is provided as an outgoing light beam(s) via the optical outlet to another logical element or to a light intensity gauge. The light intensity gauge measures light intensity in specific zone(s) of an interference pattern created by the outgoing light beam, dependent on phase shift difference between the components of the incoming light beams, and the measured intensity is correlated with intensity ranges predetermined to conjugate to logical integer values, such as Boolean or other integer numeric values. A multiplicity of logical elements can be installed to provide an optical processor. Parallel use of the same logical element is provided by the simultaneous application of sets of light beams.

Abstract: A method is provided for managing test measurements for an optical entity. The method can include determining if testing is needed, and building an object that includes a test variable and a plurality of independent variables. If testing is needed, the method can include measuring a test variable value, and revising the object to include the test variable value.

Abstract: A method and system for synthesizing a desired light beam including calculating a two-dimensional light filter for an optical element, the two-dimensional light filter being such that the optical element produces under free space propagation, in response to illumination thereof, a three-dimensional light distribution that approximates the light distribution of the desired light beam, and illuminating the optical element.

Abstract: A method for all photonic computing, comprising the steps of: encoding a first optical/electro-optical element with a two dimensional mathematical function representing input data; illuminating the first optical/electro-optical element with a collimated beam of light; illuminating a second optical/electro-optical element with light from the first optical/electro-optical element, the second optical/electro-optical element having a characteristic response corresponding to an iterative algorithm useful for solving a partial differential equation; iteratively recirculating the signal through the second optical/electro-optical element with light from the second optical/electro-optical element for a predetermined number of iterations; and, after the predetermined number of iterations, optically and/or electro-optically collecting output data representing an iterative optical solution from the second optical/electro-optical element.