You are currently viewing a new version of our website. To view the old version click .

Most Cited

  • Review
  • Open Access
28 Citations
34,097 Views
37 Pages

16 November 2024

Quantum computing stands at the precipice of technological revolution, promising unprecedented computational capabilities to tackle some of humanity’s most complex problems. The field is highly collaborative and recent developments such as supe...

  • Review
  • Open Access
17 Citations
10,296 Views
12 Pages

13 September 2023

Quantum computing is a rapidly developing field that has the potential to revolutionize the way we process data. In this article, we will introduce quantum computers, their hardware and the challenges associated with their development. One of the key...

  • Review
  • Open Access
14 Citations
8,917 Views
31 Pages

A Comprehensive Review of Quantum Circuit Optimization: Current Trends and Future Directions

  • Krishnageetha Karuppasamy,
  • Varun Puram,
  • Stevens Johnson and
  • Johnson P. Thomas

Optimizing quantum circuits is critical for enhancing computational speed and mitigating errors caused by quantum noise. Effective optimization must be achieved without compromising the correctness of the computations. This survey explores recent adv...

  • Feature Paper
  • Review
  • Open Access
12 Citations
5,757 Views
19 Pages

Optimization is a crucial challenge across various domains, including finance, resource allocation, and mobility. Quantum computing has the potential to redefine the way we handle complex problems by reducing computational complexity and enhancing so...

  • Article
  • Open Access
12 Citations
2,049 Views
15 Pages

Applications of Supersymmetric Polynomials in Statistical Quantum Physics

  • Iryna Chernega,
  • Mariia Martsinkiv,
  • Taras Vasylyshyn and
  • Andriy Zagorodnyuk

8 December 2023

We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences ℓ1(Z0). Such...

  • Feature Paper
  • Article
  • Open Access
11 Citations
3,185 Views
31 Pages

A Dyson Brownian Motion Model for Weak Measurements in Chaotic Quantum Systems

  • Federico Gerbino,
  • Pierre Le Doussal,
  • Guido Giachetti and
  • Andrea De Luca

16 May 2024

We consider a toy model for the study of monitored dynamics in many-body quantum systems. We study the stochastic Schrödinger equation resulting from continuous monitoring with a rate Γ of a random Hermitian operator, drawn from the Gaussi...

  • Article
  • Open Access
11 Citations
2,187 Views
19 Pages

18 July 2023

In physics, mathematics, and other disciplines, new integrable equations have been found using the P-test. Novel insights and discoveries in several domains have resulted from this. Whether a solution is oscillatory, decaying, or expanding exponentia...

  • Article
  • Open Access
8 Citations
2,439 Views
16 Pages

Hydrogen-like Plasmas under Endohedral Cavity

  • Saptarshi Chowdhury,
  • Neetik Mukherjee and
  • Amlan K. Roy

30 May 2023

Over the past few decades, confined quantum systems have emerged to be a subject of considerable importance in physical, chemical and biological sciences. Under such stressed conditions, they display many fascinating and notable physical and chemical...

  • Communication
  • Open Access
7 Citations
3,440 Views
17 Pages

16 January 2024

Energy efficiency considerations in terms of reduced power dissipation are a significant issue in the design of digital circuits for very large-scale integration (VLSI) systems. Quantum-dot cellular automata (QCA) is an emerging ultralow power dissip...

  • Article
  • Open Access
7 Citations
3,303 Views
17 Pages

Anomalous Relaxation and Three-Level System: A Fractional Schrödinger Equation Approach

  • Ervin K. Lenzi,
  • Enrique C. Gabrick,
  • Elaheh Sayari,
  • Antonio S. M. de Castro,
  • José Trobia and
  • Antonio M. Batista

26 May 2023

We investigate a three-level system in the context of the fractional Schrödinger equation by considering fractional differential operators in time and space, which promote anomalous relaxations and spreading of the wave packet. We first consider...

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Quantum Rep. - ISSN 2624-960X