We study how dynamical decoupling (DD) pulse sequences can improve the reliability of quantum computers. We prove upper bounds on the accuracy of DD-protected quantum gates and derive sufficient conditions for DD-protected gates to outperform unprotected gates. Under suitable conditions, fault-tolerant quantum circuits constructed from DD-protected gates can tolerate stronger noise and have a l...

For ordinary circuits with a xed upper bound on the maximal fanin of gates it has been shown that logarithmic redundancy is necessary and suucient to overcome random hardware faults. Here, we consider the same question for unbounded fanin circuits that in the noiseless case can compute Boolean functions in sublogarithmic depth. In this case the details of the fault model become more important. ...

Given an arbitrary single-qubit operation, an important task is to efficiently decompose this operation into an (exact or approximate) sequence of fault-tolerant quantum operations. We derive a depth-optimal canonical form for single-qubit quantum circuits, and the corresponding rules for exactly reducing an arbitrary single-qubit circuit to this canonical form. We focus on the singlequbit univ...

Defect rate in Nanoelectronics is much higher than conventional CMOS circuits. Hardware redundancy can be a suitable solution for fault tolerance in nano level. A voter circuit is a part of a redundancy based fault tolerant system that enables a system to continue operating properly in the event of one or more faults within its components. Robustness of the voter circuit defines the reliability...

A binary decoder is a combinational logic circuit that converts a binary integer value to an associated pattern of output bits. They are used in a wide variety of applications, including data de-multiplexing, seven segment displays, and memory address decoding. This paper demonstrates the reversible logic synthesis for the n-to-2 n decoder, where n is the number of data bits. The circuits are d...

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In self repairing digital system, fault tolerance is a crucial operational aspect. Rerouting process followed by cell replacement is impractical. Moreover, efficiency cannot be achieved due to the addition of extra functional circuits. Endocrine cellular communication, a collection of cells and tissues of organisms that secrets hormone when an endocrine cell dies in a specific process.Its conne...