Generating Equiprobable Superpositions of Arbitrary Sets for a New Generalization of the Deutsch-Jozsa Algorithm

机译：为Deutsch-Jozsa算法的新推广生成任意集的等价叠加

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We examine the problem of generating equal-probability superpositions of sets whose cardinalities are not necessarily powers of two. Alternative quantum circuits for this purpose are compared with respect to complexity and precision, and a variant based on the Grover iteration is shown to yield an algorithm with one-sided error for a generalization of the Deutsch-Jozsa problem, where the task is to decide whether a specified subset of the oracle function is constant or balanced.

机译：我们研究了生成基数不一定为2的幂的集合的等概率叠加的问题。比较了用于此目的的替代量子电路的复杂性和精度，并显示了基于Grover迭代的变体，该算法产生了具有单侧误差的算法，用于推广Deutsch-Jozsa问题，其中任务是确定oracle函数的指定子集是恒定的还是平衡的。

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《International Symposium on Computer and Information Sciences(ISCIS 2004); 20041027-29; Kemer-Antalya(TR)》|2004年|P.966-975|共10页
会议地点 Kemer-Antalya(TR)
作者
Elton Ballhysa; Ahmet Celal Cem Say;
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作者单位

Department of Computer Engineering Bogazici University, Bebek 34342 Istanbul, Turkey;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
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1. Experimental implementation of the Deutsch-Jozsa algorithm for three-qubit functions using pure coherent molecular superpositions - art. no. 062316 [J] . Vala J., Amitay Z., Zhang B., Physical Review, A. Atomic, molecular, and optical physics . 2002,第6期

机译：使用纯相干分子叠加的三量子位函数的Deutsch-Jozsa算法的实验实现-艺术。没有。 062316
2. Quantum Key Distribution Protocol Based on Modified Generalization of Deutsch-Jozsa Algorithm in d-level Quantum System [J] . Duc Manh Nguyen, Kim Sunghwan International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2019,第1期

机译：基于D-Level量子系统DEUTSCH-JOZSA算法修改的量子密钥分布协议
3. Vibrational molecular quantum computing: Basis set independence and theoretical realization of the Deutsch-Jozsa algorithm [J] . Tesch CM, de Vivie-Riedle R The Journal of Chemical Physics . 2004,第24期

机译：振动分子量子计算：基集独立性和Deutsch-Jozsa算法的理论实现
4. Generating Equiprobable Superpositions of Arbitrary Sets for a New Generalization of the Deutsch-Jozsa Algorithm [C] . Elton Ballhysa, Ahmet Celal Cem Say International Symposium on Computer and Information Sciences . 2004

机译：为Deutsch-jozsa算法的新泛化生成任意集的Quiprobable叠加
5. The Real Two Zero algorithm: A parallel algorithm to reduce an arbitrary matrix to a real Schur form, and, Jacobi-sets for parallel computations. [D] . Mantharam, Mythili. 1993

机译：实二零算法：一种并行算法，用于将任意矩阵简化为真实的Schur形式；还有Jacobi集，用于并行计算。
6. Performance Evaluation of Algorithms in Lung IMRT: A comparison of Monte Carlo Pencil Beam Superposition Fast Superposition and Convolution Algorithms [O] . T. Verma, N.K. Painuly, S.P. Mishra, 2016

机译：肺IMRT中算法的性能评估：蒙特卡洛铅笔束叠加快速叠加和卷积算法的比较
7. Experimental Implementation of the Deutsch-Jozsa Algorithm for Three-Qubit Functions using Pure Coherent Molecular Superpositions [O] . Vala, Jiri, Amitay, Zohar, Zhang, Bo, 2002

机译：Deutsch-Jozsa算法的实验实现使用纯相干分子叠加的三Qubit函数

Generating Equiprobable Superpositions of Arbitrary Sets for a New Generalization of the Deutsch-Jozsa Algorithm

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