Title
An $\Theta(\sqrt{n})$-depth Quantum Adder on a 2D NTC Quantum Computer Architecture
Abstract
In this work, we propose an adder for the 2D NTC architecture, designed to match the architectural constraints of many quantum computing technologies. The chosen architecture allows the layout of logical qubits in two dimensions and the concurrent execution of one- and two-qubit gates with nearest-neighbor interaction only. The proposed adder works in three phases. In the first phase, the first column generates the summation output and the other columns do the carry-lookahead operations. In the second phase, these intermediate values are propagated from column to column, preparing for computation of the final carry for each register position. In the last phase, each column, except the first one, generates the summation output using this column-level carry. The depth and the number of qubits of the proposed adder are $\Theta(\sqrt{n})$ and O(n), respectively. The proposed adder executes faster than the adders designed for the 1D NTC architecture when the length of the input registers $n$ is larger than 58.
Year
DOI
Venue
2010
10.1145/2287696.2287707
Clinical Orthopaedics and Related Research
Keywords
Field
DocType
quantum circuit,depth lower bound,quantum arithmetic algorithms,adder,2d ntc quantum computer architecture communicated by: to be filled by the editorial,column generation,nearest neighbor,quantum computer,lower bound,two dimensions
Quantum,Architecture,Adder,Quantum mechanics,Quantum computer,Serial binary adder,Carry-save adder,Qubit,Mathematics,Computation
Journal
Volume
Issue
ISSN
abs/1008.5
3
1550-4832
Citations 
PageRank 
References 
12
0.76
4
Authors
2
Name
Order
Citations
PageRank
Byung-Soo Choi1467.09
Rodney Van Meter236636.33