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Abstract: We present an analytic construction of the three-bit quantum conditional swap (Fredkin) gate which uses only five quantum gates each acting on only two qubits. Our implementation is based on previous work on the three-bit quantum conditional NOT (Toffoli) gate. Numerical evidence suggests this is a minimal implementation. PACS number: 03.65.Bz, 89.80.+h There has been a great deal of interest lately in quantum computation, especially after Shor's discovery of a polynomial-time quantum... (Update)
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.... qubit XOR gates with certain 1 qubit gates can implement the Deutsch Toffoli gate, so are universal for QC (also see Smolin and DiVincenzo [SD95] DiVincenzo et al. [DiV96, DS98] Poyatos et al. [PCZ96] Mozyrsky et al. [MPH96a,MPH97, MPH98] Poyatos et al. [PCZ96] Lloyd [Llo97c]...
...third bit if the first two bits are set and does nothing otherwise. The next big discovery in quantum gate theory was DiVincenzo s [20, 21, 41] discovery that arbitrary quantum computations can be performed using only two bit gates. This was a surprising result, since two bit...
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BibTeX entry: (Update)
J. A. Smolin and D. P. DiVincenzo, Five Two-Bit Quantum Gates are Sufficient to Implement the Quantum Fredkin Gate, Phys. Rev. A. 53, 2855 (1995). http://citeseer.ist.psu.edu/smolin95five.html More
@misc{ smolinfive,
author = "John A.~Smolin and David P.~DiVincenzo",
title = "Five Two-Bit Quantum Gates are Sufficient to Implement the Quantum {F}redkin Gate",
howpublished = "Preprint at {\url http://vesta.physics.ucla.edu/cgi-bin/uncompress\_ps\_cgi?comment.ps}.",
url = "citeseer.ist.psu.edu/smolin95five.html" }
Citations (may not include all citations):1 unpublished work (context) - Ekert, Macchiavello
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