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2009 39th International Symposium on Multiple-Valued Logic
Efficient Implementation of Controlled Operations for Multivalued Quantum Logic
Naha, Okinawaw, Japan
May 21-May 23
ISBN: 978-0-7695-3607-1
ASCII Text
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David Rosenbaum, Marek Perkowski, "Efficient Implementation of Controlled Operations for Multivalued Quantum Logic," Multiple-Valued Logic, IEEE International Symposium on, pp. 86-91, 2009 39th International Symposium on Multiple-Valued Logic, 2009.
 
 
BibTex
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@article{ 10.1109/ISMVL.2009.27,
author = {David Rosenbaum and Marek Perkowski},
title = {Efficient Implementation of Controlled Operations for Multivalued Quantum Logic},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2009},
issn = {0195-623X},
pages = {86-91},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2009.27},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Multiple-Valued Logic, IEEE International Symposium on
TI - Efficient Implementation of Controlled Operations for Multivalued Quantum Logic
SN - 0195-623X
SP86
EP91
A1 - David Rosenbaum,
A1 - Marek Perkowski,
PY - 2009
KW - Controlled
KW - Operation
KW - Multivalued
KW - Quantum
KW - Logic
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
This paper presents a new quantum array that can be used to control a single-qudit hermitian operator for an odd radix r > 2 by n controls using Theta(n^log_2 r + 2) single-qudit controlled gates with one control and no ancilla qudits. This quantum array is more practical than existing quantum arrays of the same complexity because it does not require the use of small roots of the operation that is being implemented. Another quantum array is also presented that implements a single-qudit operator with n controls for any radix r > 2 using ceiling(log_(r - 1) n) ancilla qudits and Theta(n^(log_(r - 1) 2 + 1)) single-qudit gates with one control.
Index Terms:
Controlled, Operation, Multivalued, Quantum, Logic
Citation:
David Rosenbaum, Marek Perkowski, "Efficient Implementation of Controlled Operations for Multivalued Quantum Logic," ismvl, pp.86-91, 2009 39th International Symposium on Multiple-Valued Logic, 2009
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