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A new quantum ripple-carry addition circuit

TLDR
In this paper, a linear-depth ripple-carry quantum addition circuit with only a single ancillary qubit has been proposed, which has lower depth and fewer gates than previous ripple carry adders.
Abstract
We present a new linear-depth ripple-carry quantum addition circuit. Previous addition circuits required linearly many ancillary qubits; our new adder uses only a single ancillary qubit. Also, our circuit has lower depth and fewer gates than previous ripple-carry adders.

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Citations
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Dissertation

Towards a formally verified functional quantum programming language

TL;DR: This thesis looks at the development of a framework for a functional quantum programming language, designed following a structural approach as given by a categorical model of quantum computation, first developed in Haskell and then implemented in Agda.
Posted Content

Effects of Interaction Distance on Quantum Addition Circuits

TL;DR: The theoretical limits of the effect of the quantum interaction distance on the speed of exact quantum addition circuits were investigated in this paper, where the authors exploited graph embedding for quantum circuit analysis.
Proceedings ArticleDOI

All optical design of hybrid adder circuit using terahertz optical asymmetric demultiplexer

TL;DR: From the experimental verification, it has been seen that the proposed model not only has enhanced the cost of the design but also has reduced overall delay of thedesign.
Proceedings ArticleDOI

Exploiting long-distance interactions and tolerating atom loss in neutral atom quantum architectures

TL;DR: In this paper, the authors evaluate the advantages and disadvantages of neutral atom (NA) architectures and propose hardware and compiler methods to increase system resilience to atom loss dramatically reducing total computation time by circumventing complete reloads or full recompilation every cycle.
References
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Journal ArticleDOI

Quantum networks for elementary arithmetic operations.

TL;DR: This work provides an explicit construction of quantum networks effecting basic arithmetic operations: from addition to modular exponentiation, and shows that the auxiliary memory required to perform this operation in a reversible way grows linearly with the size of the number to be factorized.
Journal ArticleDOI

A logarithmic-depth quantum carry-lookahead adder

TL;DR: This work reduces the cost of addition dramatically with only a slight increase in the number of required qubits, and can be used within current modularmultiplication circuits to reduce substantially the run-time of Shor's algorithm.
Posted Content

Addition on a Quantum Computer

TL;DR: A new method for computing sums on a quantum computer is introduced that uses the quantum Fourier transform and reduces the number of qubits necessary for addition by removing the need for temporary carry bits.