69 citations · 208 across the 20 of their papers we have counts for
20 papers
Networks of quantum reference frames and the nature of conserved quantities
Daniel Collins, Carolina Moreira Ferrera, Ismael L. Paiva +1
We show that networks of quantum frames of reference, in which one frame may be used to produce multiple other frames that in their turn prepare systems which may interact with one…
Quantum switch instabilities with an open control
Otavio A. D. Molitor, André H. A. Malavazi, Roberto Dobal Baldijão +3
The superposition of causal order shows promise in various quantum technologies. However, the fragility of quantum systems arising from environmental interactions, leading to dissi…
Nonrelativistic spatiotemporal quantum reference frames
Michael Suleymanov, Ismael L. Paiva, Eliahu Cohen
Quantum reference frames have attracted renewed interest recently, as their exploration is relevant and instructive in many areas of quantum theory. Among the different types, posi…
Unveiling quantum complementarity tradeoffs in relativistic scenarios
Marcos L. W. Basso, Ismael L. Paiva, Pedro R. Dieguez
Complementarity plays a pivotal role in understanding a diverse range of quantum phenomena. Here, we show how the tradeoff between quantities of a complete complementarity relation…
Time-symmetry and topology of the Aharonov-Bohm effect
Yakir Aharonov, Ismael L. Paiva, Zohar Schwartzman-Nowik +2
The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux so…
Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
Rafael Wagner, Zohar Schwartzman-Nowik, Ismael L. Paiva +5
Weak values and Kirkwood--Dirac (KD) quasiprobability distributions have been independently associated with both foundational issues in quantum theory and advantages in quantum met…
Coherence and realism in the Aharonov-Bohm effect
Ismael L. Paiva, Pedro R. Dieguez, Renato M. Angelo +1
The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposit…
Non-inertial quantum clock frames lead to non-Hermitian dynamics
Ismael L. Paiva, Amit Te'eni, Bar Y. Peled +2
The operational approach to time is a cornerstone of relativistic theories, as evidenced by the notion of proper time. In standard quantum mechanics, however, time is an external p…
Induced on-demand revival in coined quantum walks on infinite -dimensional lattices
Mahesh N. Jayakody, Ismael L. Paiva, Asiri Nanayakkara +1
The study of recurrences and revivals in quantum systems has attracted a great deal of interest because of its importance in the control of quantum systems and its potential use in…
Geometric phases and the Sagnac effect: Foundational aspects and sensing applications
Ismael L. Paiva, Rain Lenny, Eliahu Cohen
Geometric phase is a key player in many areas of quantum science and technology. In this review article, several foundational aspects of quantum geometric phases and their relation…
Flow of time during energy measurements and the resulting time-energy uncertainty relations
Ismael L. Paiva, Augusto C. Lobo, Eliahu Cohen
Uncertainty relations play a crucial role in quantum mechanics. Well-defined methods exist for the derivation of such uncertainties for pairs of observables. Other approaches also…
Dynamical nonlocality in quantum time via modular operators
Ismael L. Paiva, Marcin Nowakowski, Eliahu Cohen
We formalize the concept of the modular energy operator within the Page and Wootters timeless framework. As a result, this operator is elevated to the same status as the more studi…
Aharonov-Bohm effect with an effective complex-valued vector potential
Ismael L. Paiva, Yakir Aharonov, Jeff Tollaksen +1
The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm scenario. It is shown that, in weak interactions with a post-se…
On the extension of positive definite kernels to topological algebras
Daniel Alpay, Ismael L. Paiva
We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras, and describe their associated reproducing kernel spa…
Magnetic forces in the absence of a classical magnetic field
Ismael L. Paiva, Yakir Aharonov, Jeff Tollaksen +1
It is shown that, in some cases, the effect of discrete distributions of flux lines in quantum mechanics can be associated with the effect of continuous distributions of magnetic f…
Topological bound states for quantum charges
Ismael L. Paiva, Yakir Aharonov, Jeff Tollaksen +1
We discuss how, in appropriately designed configurations, solenoids carrying a semifluxon can be used as topological energy barriers for charged quantum systems. We interpret this…
A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We develop some aspects of the theory of hyperholomorphic functions whose values are taken in a Banach algebra over a field -- assumed to be the real or the complex numbers -- and…
Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We begin a study of Schur analysis in the setting of the Grassmann algebra, when the latter is completed with respect to the -norm. We focus on the rational case. We start with…
Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We associate with the Grassmann algebra a topological algebra of distributions, which allows the study of processes analogous to the corresponding free stochastic processes with st…
Proper and improper density matrices and the consistency of the Deutsch model for Local Closed Timelike Curves
A. C. Lobo, I. L. Paiva, P. R. Dieguez
We discuss the concept of proper and improper density matrixes and we argue that this issue is of fundamental importance for the understanding of the quantum-mechanical CTC model p…