Riemannian quantum circuit

2013/05/31 by Rubens Viana Ramos, R. V. Ramos, F. V. Mendes · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum entanglement #Quantum mechanics #Riemann hypothesis #Riemann zeta function #Unitary matrix #Unitary state #quant-ph

paper · pdf · doi:10.1016/j.physleta.2014.02.008

published as Physics Letters A 378 (2014) 1346 · 7 pages

arxiv created 2014/01/30 · openalex publication_date 2014/02/12 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Number theory is an abstract mathematical field that has found a fertile environment for development in theoretical physics. In particular, several physical systems were related to the zeros of the Riemann-zeta function. In this work we present the theory of a quantum circuit related to a finite number of zeros of the Riemann-zeta function. The existence of such circuit will permit in the future the solution of some number theory problems through the realization of quantum algorithms based on those zeros.

Citations

• Quantum Computing and Zeroes of Zeta Functions
• Quantum mechanical potentials related to the prime numbers and Riemann zeros
• A fast quantum mechanical algorithm for database search
• Classical and Quantum Algorithms for Exponential Congruences

Cited by

• Will a physicist prove the Riemann Hypothesis?

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