the new circuit consists of a subexponential number of circuits, each of which is of subex-ponential size, the new circuit is also of subexponential size. The depth of the new circuit family is the same as fC n g but the top layer of MOD p gates has been \absorbed" into the symmetric gate computing B and been replaced by a layer of AND gates of small fan-in. Now, by an appeal to Lemma 9, the ci...

We present a new algorithm for classical simulation of quantum circuits over the Clifford+T gate set. The runtime of the algorithm is polynomial in the number of qubits and the number of Clifford gates in the circuit but exponential in the number of T gates. The exponential scaling is sufficiently mild that the algorithm can be used in practice to simulate medium-sized quantum circuits dominate...

This paper describes the architecture, design & simulation of ternary logic gates. In a VLSI circuit, approximately 70 percent of the area is devoted to interconnection, 20 percent to insulation, and 10 percent to devices [1]. The binary logic is limited due to interconnect which occupies large area on a VLSI chip. In this work, the designs of ternary-valued logic circuits have been explored ov...

Logical progress: Independent molecular logic gates have been designed and characterized. Then, the individual molecular logic gates were coerced to work together within a micelle. Information relay between the two logic gates was achieved through the intermediacy of singlet oxygen. Working together, these concatenated logic gates result in a self-reporting and activatable photosensitizer. GSH=...

Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a universal set of quantum gates Gu that operate with high fidelity. The gates constituting Gu are the Hadamard and NOT gates, together with variants of the phase, π/8, and controlled-phase gates. The universality of ...

Traditional meter gates for farm delivery flow measurement from an open channel conveyance have traditionally incorporated round canal gates (Armco type) for control. In recent years, some irrigation water agencies (i.e., irrigation districts) have replaced deteriorating round gates with lower-cost rectangular gates that cover round holes. Similar to the situation described in a companion paper...

We present a complimentary objective for training recurrent neural networks (RNN) with gating units that helps with regularization and interpretability of the trained model. Attention-based RNN models have shown success in many difficult sequence to sequence classification problems with long and short term dependencies, however these models are prone to overfitting. In this paper, we describe h...

We consider fault-tolerant computation with formulas composed of noisy Boolean gates with two input wires. In our model all gates fail independently of each other and of the input. When a gate fails, it outputs the opposite of the correct output. It is known that if all gates fail with probability at least β2 = (3− √ 7)/4 ≈ 8.856%, faulttolerant computation is not possible. On the other hand, i...

Abstract— Circuit model of computer is widely accepted as a better abstraction of computational process across the world. The building block of a circuit is the logic gates which are the main information processing units. The gates transform the input bits to the output bits in some deterministic fashion according to the definition of the logic gate. These gates are main information processing ...