Hybrid spatiotemporal architectures for universal linear optics

Any Beamsplitter Generates Universal Quantum Linear Optics

In 1994, Reck et al. [17] showed how to realize any linear-optical unitary transformation using a product of beamsplitters and phaseshifters. Here we show that any single beamsplitter that nontrivially mixes two modes, also densely generates the set of m×m unitary transformations (or orthogonal transformations, in the real case) on m ≥ 3 modes. (We prove the same result for any 2-mode real opti...

Generation of Universal Linear Optics by Any Beamsplitter

In 1994, Reck et al. showed how to realize any unitary transformation on a single photon using a product of beamsplitters and phaseshifters. Here we show that any single beamsplitter that nontrivially mixes two modes, also densely generates the set of unitary transformations (or orthogonal transformations, in the real case) on the single-photon subspace with m ≥ 3 modes. (We prove the same resu...

A universal strategy to prepare functional porous graphene hybrid architectures.

Universal Memory Architectures for Autonomous Machines

We propose a self-organizing memory architecturefor perceptual experience capable of supporting autonomouslearning and goal-directed problem solving in the absence ofany prior information about the agent’s environment. The archi-tecture is simple enough to ensure (1) a quadratic bound (in thenumber of available sensors) on space requirements, and (2) aquadratic bound on ...

Hybrid architectures for speech recognition

The state-of-the-art automatic speech recognition (ASR) systems utilize a statistical pattern recognition framework called HMM/GMM (Hidden Markov Model / Gaussian Mixture Model) with short time spectral features such as Mel Frequency Cesptral Coefficients (MFCC) or Perceptual Linear Prediction (PLP). Although this approach has been shown to be effective in capturing speech patterns, recent perf...