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On the Ambainis-Bach-Nayak-Vishwanath-Watrous Conjecture

2010/07/31 by Clement Boateng Ampadu, Ampadu, Clement
Mathematics · #81T25 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1008.0052

openalex publication_date 2010/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the flaw in a theorem of Konno, Namiki, Soshi, and Sudbury in [3] and provide the necessary correction in the case of the Finite Hadamard walk and use it to show that a conjecture of Ambainis, Bach, Nayak, Vishwanath, and Watrous in [1] is false.

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