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19942026
most citedThe Gaia mission

7.1k citations

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quant-ph2025

Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions

Giovanni Canossa, Lode Pollet, Miguel A. Martin-Delgado +2

Fracton codes have been intensively studied as novel topological states of matter, yet their fault-tolerant properties remain largely unexplored. Here, we investigate the optimal t…

quant-ph2025

From Divergent Series to Geometry: Resurgence of the Quantum Metric

Marcos J. Hernández, Bogar Díaz, J. David Vergara

In this work, we analyze perturbative expansions of the quantum metric tensor (QMT) in anharmonic oscillators, focusing on quartic, sextic, and -dimensional models. Using high-o…

quant-ph2025

Phenomenological Noise Models and Optimal Thresholds of the 3D Toric Code

Ji-Ze Xu, Yin Zhong, Miguel A. Martin-Delgado +2

Three-dimensional (3D) topological codes offer the advantage of supporting fault-tolerant implementations of non-Clifford gates, yet their performance against realistic noise remai…

quant-ph2025

Hybrid Reward-Driven Reinforcement Learning for Efficient Quantum Circuit Synthesis

Sara Giordano, Kornikar Sen, Miguel A. Martin-Delgado

A reinforcement learning (RL) framework is introduced for the efficient synthesis of quantum circuits that generate specified target quantum states from a fixed initial state, addr…

quant-ph2025★ 33 cited

Roadmap on Quantum Thermodynamics

Steve Campbell, Irene D'Amico, Mario A. Ciampini +66

The last two decades has seen quantum thermodynamics become a well established field of research in its own right. In that time, it has demonstrated a remarkably broad applicabilit…

quant-ph2025★ 3 cited

Time-dependent quantum geometric tensor and some applications

Bogar Díaz, Diego Gonzalez, Marcos J. Hernández +1

We define a time-dependent extension of the quantum geometric tensor to describe the geometry of the time-parameter space for a quantum state, by considering small variations in bo…

quant-ph2025★ 6 cited

Quantum codes do not fix isotropic errors

Jesús García López de Lacalle, Luis Miguel Pozo Coronado, André L. Fonseca de Oliveira

In this work we prove that quantum error correcting codes do not fix isotropic errors, even assuming that their correction circuits do not introduce new errors. We say that a quant…

quant-ph2025

The simplest 2D quantum walk detects chaoticity

C. Alonso-Lobo, Gabriel G. Carlo, F. Borondo

Quantum walks are at present an active field of study in mathematics, with important applications in quantum information and statistical physics. In this paper, we determine the in…

quant-ph2025★ 3 cited

Efficient Reconciliation of Continuous Variable Quantum Key Distribution with Multiplicatively Repeated Non-Binary LDPC Codes

Jesus Martinez-Mateo, David Elkouss

Continuous variable quantum key distribution bears the promise of simple quantum key distribution directly compatible with commercial off the shelf equipment. However, for a long t…

quant-ph2024★ 5 cited

Variance of the sum of independent quantum computing errors

Jesús Lacalle, Luis Miguel Pozo Coronado

The sum of quantum computing errors is the key element both for the estimation and control of errors in quantum computing and for its statistical study. In this article we analyze…

quant-ph2024★ 2 cited

Implementing Semiclassical Szegedy Walks in Classical-Quantum Circuits for Homomorphic Encryption

Sergio A. Ortega, Pablo Fernández, Miguel A. Martin-Delgado

As cloud services continue to expand, the security of private data stored and processed in these environments has become paramount. This work delves into quantum homomorphic encryp…

quant-ph2024★ 1 cited

Complex-Phase Extensions of Szegedy Quantum Walk on Graphs

Sergio A. Ortega, Miguel A. Martin-Delgado

This work introduces a graph-phased Szegedy's quantum walk, which incorporates link phases and local arbitrary phase rotations (APR), unlocking new possibilities for quantum algori…

quant-ph2024★ 1 cited

Quantum Algorithm for Testing Graph Completeness

Sara Giordano, Miguel A. Martin-Delgado

Testing graph completeness is a critical problem in computer science and network theory. Leveraging quantum computation, we present an efficient algorithm using the Szegedy quantum…

quant-ph2024★ 2 cited

Randomized SearchRank: A Semiclassical Approach to a Quantum Search Engine

Sergio A. Ortega, Miguel A. Martin-Delgado

The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/…

quant-ph2023★ 9 cited

Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models

Giovanni Canossa, Lode Pollet, Miguel A. Martin-Delgado +2

Fracton codes host unconventional topological states of matter and are promising for fault-tolerant quantum computation due to their large coding space and strong resilience agains…

quant-ph2023★ 3 cited

Simplifying the simulation of local Hamiltonian dynamics

Ayaka Usui, Anna Sanpera, María García Díaz

Local Hamiltonians, , describe non-trivial -body interactions in quantum many-body systems. Here, we address the dynamical simulatability of a -local Hamiltonian by a si…

quant-ph2023★ 5 cited

SQUWALS: A Szegedy QUantum WALks Simulator

Sergio A. Ortega, Miguel A. Martin-Delgado

Szegedy's quantum walk is an algorithm for quantizing a general Markov chain. It has plenty of applications such as many variants of optimizations. In order to check its properties…

quant-ph2023★ 6 cited

Discrete-time Semiclassical Szegedy Quantum Walks

Sergio A. Ortega, Miguel A. Martin-Delgado

Quantum walks are promising tools based on classical random walks, with plenty of applications such as many variants of optimization. Here we introduce the semiclassical walks in d…

quant-ph2022★ 9 cited

A didactic approach to quantum machine learning with a single qubit

Elena Peña Tapia, Giannicola Scarpa, Alejandro Pozas-Kerstjens

This paper presents, via an explicit example with a real-world dataset, a hands-on introduction to the field of quantum machine learning (QML). We focus on the case of learning wit…

quant-ph2022★ 32 cited

Long-Range QKD without Trusted Nodes is Not Possible with Current Technology

Bruno Huttner, Romain Alléaume, Eleni Diamanti +11

A recently published patent (https://www.ipo.gov.uk/p-ipsum/Case/PublicationNumber/GB2590064) has claimed the development of a novel quantum key distribution protocol purporting to…

quant-ph2022★ 11 cited

Generalized Quantum PageRank Algorithm with Arbitrary Phase Rotations

Sergio A. Ortega, Miguel A. Martin-Delgado

The quantization of the PageRank algorithm is a promising tool for a future quantum internet. Here we present a modification of the quantum PageRank introducing arbitrary phase rot…

quant-ph2022★ 32 cited

AutoQML: Automatic Generation and Training of Robust Quantum-Inspired Classifiers by Using Genetic Algorithms on Grayscale Images

Sergio Altares-López, Juan José García-Ripoll, Angela Ribeiro

We propose a new hybrid system for automatically generating and training quantum-inspired classifiers on grayscale images by using multiobjective genetic algorithms. We define a dy…

quant-ph2022★ 25 cited

Quantum Metropolis Solver: A Quantum Walks Approach to Optimization Problems

Roberto Campos, Pablo A M Casares, M A Martin-Delgado

The efficient resolution of optimization problems is one of the key issues in today's industry. This task relies mainly on classical algorithms that present scalability problems an…

quant-ph2022★ 52 cited

Simulating key properties of lithium-ion batteries with a fault-tolerant quantum computer

Alain Delgado, Pablo A. M. Casares, Roberto dos Reis +9

There is a pressing need to develop new rechargeable battery technologies that can offer higher energy storage, faster charging, and lower costs. Despite the success of existing me…