-
1
-
-
0000234288
-
Efficient networks for quantum factoring
-
D. Bechman, A. N. Chari, S. Devabhaktuni, and J. Preskill. Efficient networks for quantum factoring. Phys. Rev. A, 54:1034-1063, 1996.
-
(1996)
Phys. Rev. A
, vol.54
, pp. 1034-1063
-
-
Bechman, D.1
Chari, A.N.2
Devabhaktuni, S.3
Preskill, J.4
-
2
-
-
0015680909
-
The logical reversibility of computation
-
C. H. Bennett. The logical reversibility of computation. IBM J. Res. Develop., 17:525-532, 1973.
-
(1973)
IBM J. Res. Develop.
, vol.17
, pp. 525-532
-
-
Bennett, C.H.1
-
3
-
-
0024714327
-
Time/space trade-offs for reversible computation
-
C. H. Bennett. Time/space trade-offs for reversible computation. SIAM J. Comput., 18(4):766-776, 1989.
-
(1989)
SIAM J. Comput.
, vol.18
, Issue.4
, pp. 766-776
-
-
Bennett, C.H.1
-
5
-
-
0030122204
-
Performance analysis of the parallel Karatsuba multiplication algorithm for distributed memory architectures
-
G. Cesari and R. Maeder. Performance analysis of the parallel Karatsuba multiplication algorithm for distributed memory architectures. J. Symb. Comput., 21(4-6):467-473, 1996.
-
(1996)
J. Symb. Comput.
, vol.21
, Issue.4-6
, pp. 467-473
-
-
Cesari, G.1
Maeder, R.2
-
6
-
-
33645985781
-
A non-redundant and efficient architecture for Karatsuba-Ofman algorithm
-
N.S. Chang, C.H. Kim, Y.-H. Park, and J. Lim. A non-redundant and efficient architecture for Karatsuba-Ofman algorithm. In ISC, pages 288-299, 2005.
-
(2005)
ISC
, pp. 288-299
-
-
Chang, N.S.1
Kim, C.H.2
Park, Y.-H.3
Lim, J.4
-
8
-
-
0004116989
-
-
MIT Press, 2nd edition
-
T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein. Introduction to algorithms. MIT Press, 2nd edition, 2001.
-
(2001)
Introduction to Algorithms
-
-
Cormen, T.H.1
Leiserson, C.E.2
Rivest, R.L.3
Stein, C.4
-
11
-
-
84882636151
-
Using the parallel Karatsuba algorithm for long integer multiplication and division
-
T. Jebelean. Using the parallel Karatsuba algorithm for long integer multiplication and division. In European Conference on Parallel Processing, pages 1169-1172, 1997.
-
(1997)
European Conference on Parallel Processing
, pp. 1169-1172
-
-
Jebelean, T.1
-
12
-
-
0001464763
-
Multiplication of multidigit numbers on automata
-
A. Karatsuba and Y. Ofman. Multiplication of multidigit numbers on automata. Soviet Physics - Doklady, 7(7):595-596, 1963.
-
(1963)
Soviet Physics - Doklady
, vol.7
, Issue.7
, pp. 595-596
-
-
Karatsuba, A.1
Ofman, Y.2
-
13
-
-
0000328287
-
Irreversibility and heat generation in the computing process
-
R. Landauer. Irreversibility and heat generation in the computing process. IBM J. Res. Develop., 5:183-191, 1961.
-
(1961)
IBM J. Res. Develop.
, vol.5
, pp. 183-191
-
-
Landauer, R.1
-
14
-
-
0000192783
-
nu, oú θ est un "isomorphisme de codes"
-
nu, oú θ est un "isomorphisme de codes". Comptes Rendus, 257:2597-2600, 1963.
-
(1963)
Comptes Rendus
, vol.257
, pp. 2597-2600
-
-
Lecerf, M.Y.1
-
15
-
-
0025476530
-
A note on Bennett's time-space tradeoff for reversible computation
-
R.Y. Levine and A. T. Sherman. A note on Bennett's time-space tradeoff for reversible computation. SIAM J. Comput., 19(4):673-677, 1990.
-
(1990)
SIAM J. Comput.
, vol.19
, Issue.4
, pp. 673-677
-
-
Levine, R.Y.1
Sherman, A.T.2
-
16
-
-
0006972055
-
Reversible simulation of irreversible computation
-
M. Li, J. Tromp, and P. Vitnyi. Reversible simulation of irreversible computation. Physica D, 120:168-176, 1998.
-
(1998)
Physica D
, vol.120
, pp. 168-176
-
-
Li, M.1
Tromp, J.2
Vitnyi, P.3
-
18
-
-
34250459760
-
Schnelle multiplikation großer Zahlen
-
A. Schönhage and V. Strassen. Schnelle multiplikation großer Zahlen. Computing, 7:281-292, 1971.
-
(1971)
Computing
, vol.7
, pp. 281-292
-
-
Schönhage, A.1
Strassen, V.2
-
20
-
-
0000442097
-
Quantum networks for elementary arithmetic operations
-
V. Vedral, A. Barenco, and A. Ekert. Quantum networks for elementary arithmetic operations. Physical Review A, 54(1):147-153, 1996.
-
(1996)
Physical Review A
, vol.54
, Issue.1
, pp. 147-153
-
-
Vedral, V.1
Barenco, A.2
Ekert, A.3
-
21
-
-
14844364694
-
Generalizations of the Karatsuba algorithm for efficient implementations
-
A. Weimerskirch and C. Paar. Generalizations of the Karatsuba algorithm for efficient implementations. Technical report, 2003.
-
(2003)
Technical Report
-
-
Weimerskirch, A.1
Paar, C.2
-
22
-
-
33746708860
-
A single quantum cannot be cloned
-
W. K. Wooters and W. H. Zurek. A single quantum cannot be cloned. Nature, 299:802-803, 1982.
-
(1982)
Nature
, vol.299
, pp. 802-803
-
-
Wooters, W.K.1
Zurek, W.H.2
-
24
-
-
0028486045
-
More on squaring and multiplying large integers
-
D. Zuras. More on squaring and multiplying large integers. IEEE Transactions on computers, 43(8):899-908, 1994.
-
(1994)
IEEE Transactions on Computers
, vol.43
, Issue.8
, pp. 899-908
-
-
Zuras, D.1
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