| Chau, H., Wilczek, F., "Simple realization of the Fredkin gate using a series of two-body operators." quant-ph/9503005. 1 Jun 95. |
....[14] such comparisons can be implemented quantum mechanically in O(nq) elementary quantum gates. We have used a swap or operator in circuits for multiply and divide. A quantummechanical operator that swaps two quantum registers of length q can be implemented using O(q) quantum Fredkin gates [32, 33, 34]. For the index i, 1 i n, the overall circuit for M i can be implemented in O(i 2 q 2 ) elementary quantum gates. In conclusion, the overall circuit for the E 1 block can be implemented using O(n 3 q 2 ) elementary quantum gates. The blocks D 1 , E 2 , and D 2 have the same complexity ....
H. F. Chau and F. Wilczek, "Simple realization of the Fredkin gate using a series of twobody operators," Physical Review Letters, vol. 75, no. 4, pp. 748--750, 1995.
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Chau, H., Wilczek, F., "Simple realization of the Fredkin gate using a series of two-body operators." quant-ph/9503005. 1 Jun 95.
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