Top Research Papers on Quantum Computing

This overview provides an introductory perspective on a selection of current trends in quantum thermodynamics and their impact on quantum computers and quantum computing, with language that is accessible to postgraduate students and researchers from different fields.

An end-to-end workflow for solving a problem in condensed matter physics on a quantum computer that serves to highlight some of Qiskit's capabilities, for example the representation and optimization of circuits at various abstraction levels, its scalability and retargetability to new gates, and the use of quantum-classical computations via dynamic circuits.

The fundamental ideas and methods of quantum computing—including quantum gates, quantum circuits, and quantum algorithms—as they relate to machine learning are examined in this abstract.

It is found that a high degree of entanglement in the reservoir is a prerequisite for a more complex reservoir dynamics that is key to unlocking the exponential phase space and higher short-term memory capacity.

This essay targets, with reference to computational complexity theory, the categories of computational problems which quantum computers are better equipped to deal with than are classical computers (‘quantum supremacy’).

This paper provides an introduction to quantum computing, quantum mechanical phenomena used in quantum computing and quantum computing.

This work proposes a new quantum neural network model for quantum neural computing using (classically controlled) single-qubit operations and measurements on real-world quantum systems with naturally occurring environment-induced decoherence, which greatly reduces the difficulties of physical implementations.

This work investigates open-system dynamics that are simulated on a quantum computer by coupling a system of interest to an ancilla, and shows how to bias the dynamics of the open system in order to enhance the probability of quantum trajectories with desired properties.

The encoding of memristive quantum dynamics on a digital quantum computer using a set of auxiliary qubits is proposed, and this method is extended to the case of two coupled quantum memristors, opening the door to the study of neuromorphic quantum computing in the NISQ era.

It is shown that superconducting quantum annealing processors can rapidly generate samples in close agreement with solutions of the Schr\"odinger equation, and area-law scaling of entanglement in the model quench is demonstrated, supporting the observed stretched-exponential scaling of effort for classical approaches.

This work explores interlinked multicore architectures through analytic and numerical modelling on semiconductor electron spin systems in which numerous cores may exist on a single chip within a single fridge, and introduces optimised entanglement purification to enable high-delity communication.

The basic functions of quantum mechanics related to the quantum communication, including qubit, logic gates, postulates, polarization and quantum entanglement, are introduced and the applications of quantum communication are discussed including teleportation, cryptography and quantum networks.

A comprehensive survey of the current state of the art in the distributed quantum computing field, exploring its foundational principles, landscape of achievements, challenges, and promising directions for further research is presented.

This review provides a self‐contained introduction to emerging algorithms for the simulation of Hamiltonian dynamics and eigenstates, with emphasis on their applications to the electronic structure in molecular systems.

A systematic survey and categorize papers, tools, frameworks, platforms that facilitate quantum computing and analyze them from an application and Quantum Computing perspective concludes that scores of frameworks, tools and platforms are emerged in the past few years and improvement of currently available facilities would exploit the research activities in the quantum research community.

This paper presents a comprehensive framework for implementing the foundational Transformer architecture -- integral to ChatGPT -- within a quantum computing paradigm, and meticulously design quantum circuits that implement adapted versions of the transformer's core components and the generative pre-training phase.

This is the first paper that goes beyond quantum computing simulations and performs an experimental application of Quantum Computing for power systems on a real quantum computer.

This work presents a quantum algorithm that combines a localization of multireference wave functions of chemical systems with quantum phase estimation (QPE) and variational unitary coupled cluster singles and doubles (UCCSD) to compute their ground-state energy.

It is shown that the proposed hybrid quantum-classical algorithm could greatly mitigate the sign problem, which decreases NSIs with the assistance of quantum computing, and increases the expressivity of shallow quantum circuits, allowing more accurate computation that is conventionally achievable only with much deeper circuits.

A two- server protocol is proposed for oblivious quantum computation, which realizes an exponential improvement for the communication complexity over the simple application of two-server (quantum) oblivious transfer to the sending of the computation result.

This review will first review the available technology and algorithms, and detail the myriad ways to represent materials on quantum computers, and showcase the simulations that have been successfully performed on currently available DQCs, emphasizing the variety of properties that can be studied with this nascent technology.

Matlab implementation of Shor’s algorithm, used for integer factorization which is polynomial time for quantum computer, is presented and Quantum Proof Algorithm like Lattice-based cryptography used concept of good and bad base is discussed.

Quantum technology can break through the bottleneck of traditional information technology by ensuring information security, speeding up computation, improving measurement accuracy, and providing revolutionary solutions to some issues of economic and social development [...].

A perspective on novel quantum computational algorithms, aiming to alleviate the exponential scaling inherent to the simulation of many-body quantum dynamics, focused on the derivation and application of quantum algorithms for adiabatic and non-adiabatic quantum dynamics.

This survey paper presents a comprehensive summary of the state of the art of quantum computing for financial applications, with particular emphasis on stochastic modeling, optimization, and machine learning, describing how these solutions can potentially help to solve financial problems more efficiently and accurately.

This work proposes two flavors of a Quantum Physically Unclonable Function (QuPUF) - one based on superposition and another based on decoherence to address the issue of temporal variations in qubit quality, and adds a parametric rotation to the QuPUF for stability.

We show that universal parity quantum computing employing a recently introduced constant depth decoding procedure is equivalent to measurement-based quantum computation (MBQC) on a bipartite graph using only yz-plane measurements. We further show that any unitary MBQC using only yz-plane measurements must occur on a bipartite graph. These results have a number of consequences and open new research avenues for both frameworks.

This work has created a variational quantum CFD (VQCFD) algorithm and a 2D Software Prototype and identified several innovative techniques that could reduce it sufficiently to achieve a quantum advantage.

This work develops a two-dimensional programmable superconducting quantum processor, Zuchongzhi, which is composed of 66 functional qubits in a tunable coupling architecture and establishes an unambiguous quantum computational advantage that is infeasible for classical computation in a reasonable amount of time.

Integrated quantum-control protocols could bridge the gap between abstract algorithms and the physical manipulation of imperfect hardware.

A modular quantum compilation framework for DQC that takes into account both network and device constraints and characteristics is presented and implemented and tested a quantum compiler based on the proposed framework, considering different network topologies, with quantum processors characterized by heavy-hexagon coupling maps.

In this framework, the transforms themselves are differentiable and can be parametrized and optimized, which opens up the possibility of improved quantum resource requirements across a spectrum of tasks.

An overview of concepts and ideas in distributed quantum computing since over two decades ago is provided as well as look at recent efforts in the area, and consider how, with the development of the quantum Internet, distributed quantum Computing is evolving into quantum Internet computing.

Many efforts around the world are now pursuing the ambitious goal of utility-scale, fault-tolerant quantum computing. Consistent themes are emerging across the field, as teams attempt to scale from existing small systems to the millions of qubits needed for useful applications. Systems partitioning, manufacturability, cooling power, networking, and control electronics are recurring challenges across all qubit technologies. PsiQuantum has pursued a photonic approach, based on qubits implemented using optical photons propagating in lithographically fabricated waveguides. In this talk we will giv...

This study presents the first simulation of quantum backflow using a real quantum computer and shows that the effect can be viewed as the contrast between the direction of electric current and that of the momentum.

Quantum computing will make it possible for modern computers to perform computations, calculations, and problem-solving approaches at speeds, unimaginable with today's technology.

The energy distribution picture suggests that the goal of QPE should be reinterpreted as generating improvements compared to the energy of the initial state and other classical estimates: such an improvement can still be achieved even if QPE does not project directly onto the ground state.

The role of benchmarks and benchmarking is discussed, and how good benchmarks can drive and measure progress towards the long-term goal of useful quantum computations, i.e.,"quantum utility".

A pivotal moment of photonic quantum computing in the noisy intermediate-scale quantum (NISQ) era is captured, offering insights into how photonic quantum computers might reshape the future of quantum computing.

Focusing on current trends and advancements, this paper explores the profound impact of quantum computing on AI methodologies and applications.

The IBM Quantum Development Roadmap describes the vision of creating a quantum computing ecosystem delivering quantum applications through the cloud, and targets to achieve an inflection point benefiting of continuous improvements across the stack driving quantum performance described by more qubits, higher quantum volume and speed.

This work proves that a recently introduced, efficiently implementable dissipative evolution thermalizes to the Gibbs state in time scaling polynomially with system size at high enough temperatures for any Hamiltonian that satisfies a Lieb-Robinson bound, such as local Hamiltonians on a lattice.

I acknowledge the funding I received from the Engineering and Physical Sciences Research Council, and Hitachi Cambridge Laboratory

This work investigates and reports digital simulations of Markovian nonunitary dynamics that converge to a unique steady state and demonstrates that the state convergence can be accelerated by utilizing the readouts of the ancilla qubits to guide the protocol in a nonblind manner.

This work considers that science is mixed with technology without a clear distinction between the underlying mathematics and physics concepts in this documentation, and considers that this must be addressed in order to create proper learning environments that go beyond performing calculations without facilitating the understanding of the core of quantum computing concepts.

This work proposes the first quantum algorithm for estimating quantum relative entropy and Petz R\'{e}nyi divergence from two unknown quantum states on quantum computers, addressing open problems highlighted in [Phys. Rev. A 109, 032431 (2024)] and [IEEE Trans. Theory 70, 5653-5680 (2024)].

The aim of this survey is to provide the reader with an overview about the main challenges and open problems arising with distributed quantum computing, and with an easy access and guide towards the relevant literature and the prominent results from a computer/communications engineering perspective.

This tutorial offers a concise and pedagogical introduction to quantum master equations, accessible to a broad, cross-disciplinary audience, and covers essential methods such as the use of the Lindblad master equation, Redfield relaxation, and Floquet theory.

A scientometric analysis for the recent decade of literature collected from the Web of Science database in the computer science discipline reveals an evolutionary pathway for future research directives and collaboration in the domains of QC research.

This work introduces a Python 3 code library, whose primary objective is to speed up the development of variational quantum algorithms for electronic structure problems, and describes the various features and capabilities of this library, including its ease in constructing customized versions of variational quantum algorithms.