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Quantum Reports, Volume 7, Issue 3

September 2025 - 15 articles

Cover Story: A simple inequality for the product of coordinate and momentum “uncertainties”, discovered in 1927 by Heisenberg (in an approximate form) and Kennard (in a strict form), is one of the “precious stones” of the quantum theory. A lot of improvements, extensions and generalizations of that inequality have been found for the past century by many authors using different definitions of “uncertainties”. This review is a collection of existing inequalities containing products or sums of variances (or their roots and powers) of non-commuting operators. Inequalities improving the uncertainty relations when additional information about a quantum system is available (for example, the correlation coefficient, the degrees of mixing or gaussianity of a quantum state) are especially interesting. View this paper
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Articles (15)

  • Article
  • Open Access
2,018 Views
25 Pages

17 September 2025

This paper aims to address the possibility of parametric resonance effects in microtubules via tryptophan qubits, using the Hamiltonian of the cavity quantum electrodynamics (QED) model involving photons in a waveguide and the surrounding environment...

  • Article
  • Open Access
1,545 Views
26 Pages

11 September 2025

We present a topologically protected teleportation protocol based on projective parity measurements between spatially separated Majorana zero modes (MZMs), eliminating the need for dynamic braiding. Unlike conventional teleportation schemes, our meth...

  • Article
  • Open Access
1,461 Views
24 Pages

Memory Management Strategies for Software Quantum Simulators

  • Gilberto Díaz,
  • Luiz Steffenel,
  • Carlos Barrios and
  • Jean Couturier

9 September 2025

Software quantum simulators are essential tools for designing and testing quantum algorithms on classical computing architectures, especially given the current limitations of physical quantum hardware. This work focuses on studying and evaluating mem...

  • Communication
  • Open Access
655 Views
5 Pages

9 September 2025

We formally represent the quantum interference of a single qubit embodied by a photon in the Mach–Zehnder interferometer using the classical Hamiltonian framework but with complex canonical variables. Although all operations on a single qubit c...

  • Article
  • Open Access
4,571 Views
25 Pages

A Review on Models and Applications of Quantum Computing

  • Eduard Grigoryan,
  • Sachin Kumar and
  • Placido Rogério Pinheiro

4 September 2025

This manuscript is intended for readers who have a general interest in the subject of quantum computation and provides an overview of the most significant developments in the field. It begins by introducing foundational concepts from quantum mechanic...

  • Article
  • Open Access
1,009 Views
10 Pages

One of the nanoscale technologies that shows its capability of implementing integrated digital circuits with low power, high speed, and high density is quantum-dot cellular automata (QCA). The fundamental device for designing and implementing circuit...

  • Article
  • Open Access
788 Views
25 Pages

HHL Algorithm for Tensor-Decomposable Matrices

  • Cezary Pilaszewicz and
  • Marian Margraf

We use the HHL algorithm to retrieve a quantum state holding the algebraic normal form (ANF) of a Boolean function. Unlike the standard HHL applications, we do not describe the cipher as an exponentially big system of equations. Rather, we perform a...

  • Perspective
  • Open Access
1,769 Views
24 Pages

Quantum-Enhanced Algorithmic Fairness and the Advancement of AI Integrity and Responsibility

  • Akhil Chintalapati,
  • Khashbat Enkhbat,
  • Ramanathan Annamalai,
  • Geraldine Bessie Amali,
  • Fatih Ozaydin and
  • Mathew Mithra Noel

In the evolving digital landscape, the pervasive influence of artificial intelligence (AI) on social media platforms reveals a compelling paradox: the capability to provide personalized experiences juxtaposed with inherent biases reminiscent of human...

  • Article
  • Open Access
1,185 Views
15 Pages

Classical Encryption Demonstration with BB84 Quantum Protocol-Inspired Coherent States Using Reduced Graphene Oxide

  • Alexia Lopez-Bastida,
  • Pablo Córdova-Morales,
  • Donato Valdez-Pérez,
  • Adrian Martinez-Rivas,
  • José M. de la Rosa-Vázquez and
  • Carlos Torres-Torres

This study explores the integration of reduced graphene oxide (rGO) into an optoelectronic XOR logic gate to enhance BB84 protocol encryption in quantum communication systems. The research leverages the nonlinear optical properties of rGO, specifical...

  • Review
  • Open Access
1,225 Views
61 Pages

A brief review of various existing mathematical formulations of the uncertainty relations in quantum mechanics, containing variances of two or more non-commuting operators, is given. In particular, inequalities for the products of higher-order moment...

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Quantum Rep. - ISSN 2624-960X