D. Zeilberger. The method of creative telescoping. Journal of Symbolic Computation, 11:195-204, 1991. (The Los Alamos Preprint Archive may be found at URL http://arXv. org/ on the World Wide Web.)  Home/Search Document Not in Database Summary Related Articles Check |
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One-Dimensional Quantum Walks - Ambainis, Bach, Nayak, Vishwanath.. (3 citations) (Correct)
....the sum by Jacobi polynomials. Combinatorial sums and recurrences Consider the sums and (3) T = i By Lemma 4, calculating is equivalent to calculating these sums. We will focus on b(n, t) By Lemma 4, it corresponds to 1, y Using the Gosper Zeilberger . for z 2 W method [14, 15, 33] for generating recurrences from sums of binomial coefficients, we obtain the following lemma. LEMMA 13. 15] We have ( 2) 2 = 3. 4 )S , i (2. q 2)S , 5) Together with Lemma 4, this relates the amplitudes of I)l L) at timer, I l)lL) at timet l, and 1 2)lL) at time 2. We can ....
D. Zeilberger. The method of creative telescoping. Journal of Symbolic Computation, 11:195-204, 1991. (The Los Alamos Preprint Archive may be found at URL http://arXv. org/ on the World Wide Web.)
One-Dimensional Quantum Walks - Ambainis, Bach, Nayak, Vishwanath.. (3 citations) (Correct)
....S ; X k k k ( 1) k (3) and T ; X k k k 1 ( 1) k (4) By Lemma 4, calculating is equivalent to calculating these sums. We will focus on L(n; t) By Lemma 4, it corresponds to S ; for = t n 2 1, t n 2 . Using the Gosper Zeilberger method [14, 15, 33] for generating recurrences from sums of binomial coecients, we obtain the following lemma. Lemma 13. 15] We have ( 2)S ; 2 = 3 4 )S ; 1 (2 2)S ; 5) Together with Lemma 4, this relates the amplitudes of jnijLi at time t, jn 1ijLi at time t 1, and jn 2ijLi at time t 2. We can ....
D. Zeilberger. The method of creative telescoping. Journal of Symbolic Computation, 11:195-204, 1991. (The Los Alamos Preprint Archive may be found at URL http://arXiv.org/ on the World Wide Web.)
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