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Live trends in quantum computing research, updated daily from arXiv.
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Variational Quantum Algorithms for Differential Equations on a Noisy Quantum Computer
Niclas Schillo, Andreas Sturm·May 3, 2024
The role of differential equations (DEs) in science and engineering is of paramount importance, as they provide the mathematical framework for a multitude of natural phenomena. Since quantum computers promise significant advantages over classical com...
On the Relative Completeness of Satisfaction-based Quantum Hoare Logic
Xin Sun, Xingchi Su, Xiaoning Bian +1 more·May 3, 2024
Quantum Hoare logic (QHL) is a formal verification tool specifically designed to ensure the correctness of quantum programs. There has been an ongoing challenge to achieve a relatively complete satisfaction-based QHL with while-loop since its incepti...
Exponential quantum advantages in learning quantum observables from classical data
Riccardo Molteni, Casper Gyurik, V. Dunjko·May 3, 2024
Quantum computers are believed to bring computational advantages in simulating quantum many body systems. However, recent works have shown that classical machine learning algorithms are able to predict numerous properties of quantum systems with clas...
Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
Jan Peřina, Kishore Thapliyal, Grzegorz Chimczak +2 more·May 2, 2024
We analyze the existence and degeneracies of quantum exceptional, diabolical, and hybrid points in simple bosonic systems - comprising up to six modes with damping and/or amplification - under two complementary scenarios to those described in Quantum...
Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
Kishore Thapliyal, Jan Peřina, Grzegorz Chimczak +2 more·May 2, 2024
The existence and degeneracies of quantum exceptional, diabolical, and hybrid (i.e., diabolically degenerated exceptional) singularities of simple bosonic systems composed of up to five modes with damping and/or amplification are analyzed. Their dyna...
Inverse Current in Coupled Transport: A Quantum Thermodynamic Model
Shuvadip Ghosh, Nikhil Gupt, Arnab Ghosh·May 2, 2024
The recent discovery of inverse current in coupled transport (ICC) in classical systems~\textcolor{blue}{[\textbf{Phys. Rev. Lett.} \textbf{124}, 110607 (2020)]} -- where an induced current flows opposite to two mutually parallel thermodynamic forces...
Efficient Internal Strategies in Quantum Relaxation Based Branch-and-Bound
Hiromichi Matsuyama, Wei-Hao Huang, Kohji Nishimura +1 more·May 2, 2024
A combinatorial optimization problem is to find an optimal combination under the constraints. This is one of the potential applications for quantum computers. Quantum Random Access Optimization (QRAO) is the quantum optimization algorithm that encode...
How Much Entanglement Is Needed for Quantum Error Correction?
S. Bravyi, Dongjin Lee, Zhi Li +1 more·May 2, 2024
It is commonly believed that logical states of quantum error-correcting codes have to be highly entangled such that codes capable of correcting more errors require more entanglement to encode a qubit. Here, we show that the validity of this belief de...
Spanning Tree Matching Decoder for Quantum Surface Codes
Diego Forlivesi, L. Valentini, M. Chiani·May 2, 2024
We introduce the spanning tree matching (STM) decoder for surface codes, which guarantees the error correction capability up to the code’s designed distance by first employing an instance of the minimum spanning tree on a subset of ancilla qubits wit...
Continuous-variable quantum kernel method on a programmable photonic quantum processor
Keitaro Anai, Shion Ikehara, Yoshichika Yano +2 more·May 2, 2024
Among various quantum machine learning (QML) algorithms, the quantum kernel method has especially attracted attention due to its compatibility with noisy intermediate-scale quantum devices and its potential to achieve quantum advantage. This method p...
On Quantum Ambiguity and Potential Exponential Computational Speed-Ups to Solving Dynamic Asset Pricing Models
Eric Ghysels, Jack Morgan·May 2, 2024
We formulate quantum computing solutions to a large class of dynamic nonlinear asset pricing models using algorithms, in theory exponentially more efficient than classical ones, which leverage the quantum properties of superposition and entanglement....
Generalising quantum imaginary time evolution to solve linear partial differential equations
Swagat Kumar, C. Wilmott·May 2, 2024
The quantum imaginary time evolution (QITE) methodology was developed to overcome a critical issue as regards non-unitarity in the implementation of imaginary time evolution on a quantum computer. QITE has since been used to approximate ground states...
Digital-analog counterdiabatic quantum optimization with trapped ions
Shubham Kumar, N. N. Hegade, Alejandro Gomez-Cadavid +3 more·May 2, 2024
We introduce a hardware-specific, problem-dependent digital-analog quantum algorithm of a counterdiabatic quantum dynamics tailored for optimization problems. Specifically, we focus on trapped-ion architectures, taking advantage from global Mølmer–Sø...
Quantum wave packet transforms with compact frequency support
Hongkang Ni, Lexing Ying·May 2, 2024
Different kinds of wave packet transforms are widely used for extracting multi-scale structures in signal processing tasks. This paper introduces the quantum circuit implementation of a broad class of wave packets, including Gabor atoms and wavelets,...
Quantum Machine Learning: Quantum Kernel Methods
S. Naguleswaran·May 2, 2024
Quantum algorithms based on quantum kernel methods have been investigated previously [1]. A quantum advantage is derived from the fact that it is possible to construct a family of datasets for which, only quantum processing can recognise the intrinsi...
High-Frequency Tails in Spectral Densities
R. Korol, Xinxian Chen, Ignacio Franco·May 2, 2024
Recent advances in numerically exact quantum dynamics methods have brought the dream of accurately modeling the dynamics of chemically complex open systems within reach. Path-integral-based methods, hierarchical equations of motion, and quantum analo...
Distribution of Non-Locality On Quantum Random Circuits
A. Arango, F. Holik, R. Giuntini +2 more·May 2, 2024
In this work we explore how different types of resources are distributed among the states generated by quantum random circuits (QRC). We focus on multipartite non-locality, but we also analyze quantum correlations by appealing to different entangleme...
On-demand shaped-photon emission based on a parametrically modulated qubit
Xiang Li, Sheng-Yong Li, Si-Lu Zhao +13 more·May 2, 2024
In the circuit quantum electrodynamics architectures, to realize a long-range quantum network mediated by flying photon, it is necessary to shape the temporal profile of emitted photons to achieve high transfer efficiency between two quantum nodes. I...
QSimPy: A Learning-centric Simulation Framework for Quantum Cloud Resource Management
H. T. Nguyen, Muhammad Usman, R. Buyya·May 2, 2024
Quantum cloud computing is an emerging computing paradigm that allows seamless access to quantum hardware as cloud-based services. However, effective use of quantum resources is challenging and necessitates robust simulation frameworks for effective ...
Multivariate trace estimation using quantum state space linear algebra
L. Yosef, Shashanka Ubaru, L. Horesh +1 more·May 2, 2024
In this paper, we present a quantum algorithm for approximating multivariate traces, i.e. the traces of matrix products. Our research is motivated by the extensive utility of multivariate traces in elucidating spectral characteristics of matrices, as...