J. Savage, "Computational work and time on finite functions," Journal of ACM 19 (1972), 660-674.

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Quantum Circuit Complexity - Yao (1993)   (81 citations)  (Correct)

....Boolean circuit K of size poly(n; t) that (n; t) simulates Q. Corollary If L 2 P , then CQ (L n ) O(n k ) for some fixed k. L n is the set of strings in L of length n. This is the quantum analog of the simulation of deterministic Turing machines by classical Boolean circuits (see Savage [Sa72], Schnorr [Schn76] Pippenger and Fischer [PF79] The proof for the quantum version involves subtler arguments. A sketch of the main steps in the proof is given in Section 6. 4 A Universal Quantum Turing Machine As noted in [BV93] the simulation of quantum machines is a nontrivial problem, and ....

J. Savage, "Computational work and time on finite functions," Journal of ACM 19 (1972), 660-674.

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