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Most Cited

  • Review
  • Open Access
35 Citations
38,353 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
19 Citations
10,096 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...

  • Review
  • Open Access
18 Citations
10,926 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...

  • Feature Paper
  • Review
  • Open Access
15 Citations
6,713 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
2,140 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 1(Z0). Such...

  • Article
  • Open Access
12 Citations
2,258 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...

  • Feature Paper
  • Article
  • Open Access
11 Citations
3,440 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...

  • Review
  • Open Access
10 Citations
12,889 Views
45 Pages

Quantum Oncology

  • Bruno F. E. Matarèse and
  • Arnie Purushotham

Quantum core technologies (computing, sensing, imaging, communication) hold immense promise for revolutionizing cancer care. This paper explores their distinct capabilities in early-stage cancer diagnosis, improved clinical workflows, drug discovery,...

  • Communication
  • Open Access
9 Citations
3,681 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...

  • Review
  • Open Access
9 Citations
2,029 Views
29 Pages

Remarks on the Study of the Electronic Properties and Photoionization Process in Rotating 2D Quantum Rings

  • Carlos Magno O. Pereira,
  • Frankbelson dos S. Azevedo and
  • Edilberto O. Silva

30 November 2024

The electronic and optical properties of a mesoscopic heterostructure of a two-dimensional quantum ring composed of Gallium Arsenide (GaAs) semiconductors are investigated. Using the confinement potential proposed by Tan and Inkson to describe the sy...

  • Article
  • Open Access
8 Citations
4,185 Views
18 Pages

Patient Data Analysis with the Quantum Clustering Method

  • Shradha Deshmukh,
  • Bikash K. Behera and
  • Preeti Mulay

13 February 2023

Quantum computing is one of the most promising solutions for solving optimization problems in the healthcare world. Quantum computing development aims to light up the execution of a vast and complex set of algorithmic instructions. For its implementa...

  • Article
  • Open Access
8 Citations
2,533 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...

  • Article
  • Open Access
7 Citations
3,415 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...

  • Article
  • Open Access
7 Citations
3,893 Views
24 Pages

A Schrödinger Equation for Evolutionary Dynamics

  • Vi D. Ao,
  • Duy V. Tran,
  • Kien T. Pham,
  • Duc M. Nguyen,
  • Huy D. Tran,
  • Tuan K. Do,
  • Van H. Do and
  • Trung V. Phan

31 October 2023

We establish an analogy between the Fokker–Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanical particles, showing that a population with multiple genetic traits evo...

  • Article
  • Open Access
6 Citations
5,910 Views
20 Pages

Geometric Aspects of Mixed Quantum States Inside the Bloch Sphere

  • Paul M. Alsing,
  • Carlo Cafaro,
  • Domenico Felice and
  • Orlando Luongo

6 February 2024

When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-dependent interpretations of physically significant geometric quantities suc...

  • Article
  • Open Access
6 Citations
4,315 Views
19 Pages

Towards a Multiqudit Quantum Processor Based on a 171Yb+ Ion String: Realizing Basic Quantum Algorithms

  • Ilia V. Zalivako,
  • Anastasiia S. Nikolaeva,
  • Alexander S. Borisenko,
  • Andrei E. Korolkov,
  • Pavel L. Sidorov,
  • Kristina P. Galstyan,
  • Nikita V. Semenin,
  • Vasilii N. Smirnov,
  • Mikhail A. Aksenov and
  • Nikolay N. Kolachevsky
  • + 5 authors

We demonstrate a quantum processor based on a 3D linear Paul trap that uses Yb+171 ions with eight individually controllable four-level qudits (ququarts), which is computationally equivalent to a sixteen-qubit quantum processor. The design of the dev...

  • Article
  • Open Access
6 Citations
3,142 Views
13 Pages

24 November 2024

Potential applications of quantum dots in the nanotechnology industry make these systems an important field of study in various areas of physics. In particular, thermodynamics has a significant role in technological innovations. With this in mind, we...

  • Article
  • Open Access
5 Citations
1,989 Views
16 Pages

Fisher Information for a System Composed of a Combination of Similar Potential Models

  • Clement Atachegbe Onate,
  • Ituen B. Okon,
  • Edwin Samson Eyube,
  • Ekwevugbe Omugbe,
  • Kizito O. Emeje,
  • Michael C. Onyeaju,
  • Olumide O. Ajani and
  • Jacob A. Akinpelu

13 May 2024

The solutions to the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potential have been studied separately in the past. Despite different reports on the Kratzer potential, the fundamental theoretical quantities such as Fi...

  • Article
  • Open Access
5 Citations
4,355 Views
12 Pages

11 January 2024

Today, we are already using several-component devices and systems based on the technologies developed during the first quantum revolution. Examples include microchips for servers, laptops and smartphones, medical imaging devices, LED, lasers, etc. No...

  • Article
  • Open Access
5 Citations
8,711 Views
13 Pages

The Quantum Amplitude Estimation Algorithms on Near-Term Devices: A Practical Guide

  • Marco Maronese,
  • Massimiliano Incudini,
  • Luca Asproni and
  • Enrico Prati

24 December 2023

The Quantum Amplitude Estimation (QAE) algorithm is a major quantum algorithm designed to achieve a quadratic speed-up. Until fault-tolerant quantum computing is achieved, being competitive over classical Monte Carlo (MC) remains elusive. Alternative...

  • Article
  • Open Access
5 Citations
3,852 Views
17 Pages

Quantum-Based Maximum Likelihood Detection in MIMO-NOMA Systems for 6G Networks

  • Helen Urgelles,
  • David Garcia-Roger and
  • Jose F. Monserrat

22 October 2024

As wireless networks advance toward the Sixth Generation (6G), which will support highly heterogeneous scenarios and massive data traffic, conventional computing methods may struggle to meet the immense processing demands in a resource-efficient mann...

  • Review
  • Open Access
5 Citations
2,735 Views
22 Pages

9 February 2023

Statistical measures of complexity hold significant potential for applications in D-dimensional finite fermion systems, spanning from the quantification of the internal disorder of atoms and molecules to the information–theoretical analysis of...

  • Article
  • Open Access
4 Citations
3,214 Views
15 Pages

Nitrogen-Related High-Spin Vacancy Defects in Bulk (SiC) and 2D (hBN) Crystals: Comparative Magnetic Resonance (EPR and ENDOR) Study

  • Larisa Latypova,
  • Fadis Murzakhanov,
  • George Mamin,
  • Margarita Sadovnikova,
  • Hans Jurgen von Bardeleben and
  • Marat Gafurov

14 June 2024

The distinct spin, optical, and coherence characteristics of solid-state spin defects in semiconductors have positioned them as potential qubits for quantum technologies. Both bulk and two-dimensional materials, with varying structural properties, ca...

  • Article
  • Open Access
4 Citations
2,861 Views
20 Pages

13 July 2023

Quantum systems with dynamical symmetries have conserved quantities that are preserved under coherent control. Therefore, such systems cannot be completely controlled by means of only coherent control. In particular, for such systems, the maximum tra...

  • Article
  • Open Access
4 Citations
4,073 Views
34 Pages

Variational Amplitude Amplification for Solving QUBO Problems

  • Daniel Koch,
  • Massimiliano Cutugno,
  • Saahil Patel,
  • Laura Wessing and
  • Paul M. Alsing

1 October 2023

We investigate the use of amplitude amplification on the gate-based model of quantum computing as a means for solving combinatorial optimization problems. This study focuses primarily on quadratic unconstrained binary optimization (QUBO) problems, wh...

  • Article
  • Open Access
4 Citations
2,537 Views
12 Pages

15 March 2023

Based on the results of a quantum chemical calculation using the DFT method in the B3PW91/TZVP, OPBE/TZVP, M06/TZVP, and M062/Def2TZVP levels, the possibility of the existence of M(N13) chemical compounds (M = Mn, Fe) that are unknown for these eleme...

  • Article
  • Open Access
3 Citations
2,275 Views
10 Pages

Ring and Linear Structures of CdTe Clusters

  • Andrii Kashuba,
  • Ihor Semkiv,
  • Myron Rudysh,
  • Hryhorii Ilchuk and
  • Pavlo Shchepanskyi

30 June 2024

We report the results of an ab initio study of the linear and ring structures of cadmium telluride clusters [CdTe]n (CdnTen) n ≤ 10 within the generalized gradient approximation (GGA) and Purdue–Burke–Ernzerhof (PBE) parameterization w...

  • Article
  • Open Access
3 Citations
4,280 Views
19 Pages

Diversifying Investments and Maximizing Sharpe Ratio: A Novel Quadratic Unconstrained Binary Optimization Formulation

  • Mirko Mattesi,
  • Luca Asproni,
  • Christian Mattia,
  • Simone Tufano,
  • Giacomo Ranieri,
  • Davide Caputo and
  • Davide Corbelletto

27 May 2024

The optimization of investment portfolios represents a pivotal task within the field of financial economics. Its objective is to identify asset combinations that meet specified criteria for return and risk. Traditionally, the maximization of the Shar...

  • Article
  • Open Access
3 Citations
2,326 Views
32 Pages

Innovative Designs and Insights into Quantum Thermal Machines

  • Aline Duarte Lúcio,
  • Moises Rojas and
  • Cleverson Filgueiras

We present a comprehensive theoretical investigation about the operational regions of quantum systems, specifically examining their roles as working media functioning between two thermal reservoirs in quantum thermal machines (QTMs). This study provi...

  • Article
  • Open Access
3 Citations
2,358 Views
16 Pages

22 May 2023

In a known gedanken experiment, a delocalized mass is recombined while the gravitational field sourced by it is probed by another (distant) particle; in it, this is used to explore a possible tension between complementarity and causality in case the...

  • Review
  • Open Access
3 Citations
3,597 Views
25 Pages

18 April 2023

In this work, an alternative attempt to motivate the Many-Worlds Interpretation (MWI) is undertaken. The usual way of arguing for MWI mostly revolves around how it might solve the measurement problem in a more straightforward and concise manner than...

  • Article
  • Open Access
3 Citations
3,974 Views
28 Pages

The Laplace Method for Energy Eigenvalue Problems in Quantum Mechanics

  • Jeremy Canfield,
  • Anna Galler and
  • James K. Freericks

20 April 2023

Quantum mechanics has about a dozen exactly solvable potentials. Normally, the time-independent Schrödinger equation for them is solved by using a generalized series solution for the bound states (using the Fröbenius method) and then an ana...

  • Article
  • Open Access
3 Citations
3,850 Views
26 Pages

Analytical Solution to DGLAP Integro-Differential Equation in a Simple Toy-Model with a Fixed Gauge Coupling

  • Gustavo Álvarez,
  • Gorazd Cvetič,
  • Bernd A. Kniehl,
  • Igor Kondrashuk and
  • Ivan Parra-Ferrada

27 February 2023

We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not...

  • Article
  • Open Access
3 Citations
2,826 Views
20 Pages

Tuning Logical Phi-Bit State Vectors in an Externally Driven Nonlinear Array of Acoustic Waveguides via Drivers’ Phase

  • Pierre A. Deymier,
  • Keith Runge,
  • M. Arif Hasan,
  • Trevor D. Lata and
  • Josh A. Levine

6 April 2023

We experimentally navigate the Hilbert space of two logical phi-bits supported by an externally driven nonlinear array of coupled acoustic waveguides by parametrically changing the relative phase of the drivers. We observe sharp phase jumps of approx...

  • Communication
  • Open Access
2 Citations
2,262 Views
8 Pages

14 April 2024

Through path integral Monte Carlo computer experiments, we prove that the affine quantization of the φ44-scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well-defined continuum limit of the one- a...

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Quantum Rep. - ISSN 2624-960X