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A central goal in quantum computing is the development of quantum hardware and quantum algorithms in order to analyse challenging scientific and engineering problems. Research in quantum computation involves contributions from both physics…

Conventional embedding methods directly associate each symbol with a continuous embedding vector, which is equivalent to applying a linear transformation based on a "one-hot" encoding of the discrete symbols. Despite its simplicity, such…

Machine Learning · Computer Science 2018-06-26 Ting Chen , Martin Renqiang Min , Yizhou Sun

Recent work [Sachdeva et al.] presented an iterative hybrid quantum variational optimization algorithm designed by Q-CTRL and executed on IBM gate-based quantum processing units (QPUs), claiming a significant performance advantage against a…

Quantum Physics · Physics 2024-06-28 Catherine C. McGeoch , Kevin Chern , Pau Farré , Andrew K. King

Quantum annealers (QA), such as D-Wave systems, become increasingly efficient and competitive at solving combinatorial optimization problems. However, solving problems that do not directly map the chip topology remains challenging for this…

Quantum Physics · Physics 2024-07-30 Valentin Gilbert , Stéphane Louise

Quantum variational optimization has been posed as an alternative to solve optimization problems faster and at a larger scale than what classical methods allow. In this paper we study systematically the role of entanglement, the structure…

Quantum Physics · Physics 2021-12-30 Pablo Díez-Valle , Diego Porras , Juan José García-Ripoll

We propose general methodology of deterministic single-mode quantum interaction nonlinearly modifying single quadrature variable of a continuous variable system. The methodology is based on linear coupling of the system to ancillary systems…

In this work, we address the numerical identification of entanglement in dynamical scenarios. To this end, we consider different programs based on the restriction of the evolution to the set of separable (i.e., non-entangled) states,…

Quantum Physics · Physics 2026-02-06 Christian Offen , Boris Wembe , Laura Ares , Jan Sperling , Sina Ober-Blöbaum

Current quantum simulators are primarily qubit-based, making them naturally suitable for simulating 2-level quantum systems. However, many systems in nature are inherently $d$-level, including higher spins, bosons, vibrational modes, and…

Quantum Physics · Physics 2024-06-26 Chufan Lyu , Zuoheng Zou , Xusheng Xu , Man-Hong Yung , Abolfazl Bayat

We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model.…

Materials Science · Physics 2007-11-15 Shengjun Yuan , Hans De Raedt , Seiji Miyashita

Quantum annealing is a general strategy for solving difficult optimization problems with the aid of quantum adiabatic evolution. Both analytical and numerical evidence suggests that under idealized, closed system conditions, quantum…

Quantum computing offers a promising route for tackling hard optimization problems by encoding them as Ising models. However, sparse qubit connectivity requires the use of minor-embedding, mapping logical qubits onto chains of physical…

Quantum Physics · Physics 2025-03-12 Thang N. Dinh , Cao P. Cong

We propose a variational quantum algorithm to study the real time dynamics of quantum systems as a ground-state problem. The method is based on the original proposal of Feynman and Kitaev to encode time into a register of auxiliary qubits.…

Quantum Physics · Physics 2023-02-16 Stefano Barison , Filippo Vicentini , Ignacio Cirac , Giuseppe Carleo

We show that quantum diffusion near the quantum critical point can provide a highly very efficient mechanism of open-system quantum annealing. It is based on the diffusion-mediated recombination of excitations. For an Ising spin chain…

Modern quantum annealers can find high-quality solutions to combinatorial optimisation objectives given as quadratic unconstrained binary optimisation (QUBO) problems. Unfortunately, obtaining suitable QUBO forms in computer vision remains…

The application in cryptography of quantum algorithms for prime factorization fostered the interest in quantum computing. However, quantum computers, and particularly quantum annealers, can also be helpful to construct secure cryptographic…

Quantum Physics · Physics 2021-01-27 Feng Hu , Lucas Lamata , Chao Wang , Xi Chen , Enrique Solano , Mikel Sanz

Quantum control of the wave function of two interacting electrons confined in quasi-one-dimensional double-well semiconductor structures is demonstrated. The control strategies are based on the knowledge of the energy spectrum as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

We propose a multi-mode modulation scheme for Continuous Variable (CV) quantum communications, which we call quantum pattern encoding. In this setting, classical information can be encoded into multi-mode patterns of discretely-modulated…

Quantum Physics · Physics 2022-01-25 Cillian Harney , Stefano Pirandola

Cybersecurity in telecommunication networks often leads to hard combinatorial optimization problems that are challenging to solve with classical methods. This work investigates the practical feasibility of using quantum annealing to address…

Quantum Physics · Physics 2026-01-05 Ali Abbassi , Yann Dujardin , Eric Gourdin , Philippe Lacomme , Caroline Prodhon

The computational power of a quantum computer is limited by the number of qubits available for information processing. Increasing this number within a single device is difficult; it is widely accepted that distributed modular architectures…

Quantum Physics · Physics 2023-03-01 Ilia Khait , Edwin Tham , Dvira Segal , Aharon Brodutch

We consider composite quantum-dynamical systems that can be partitioned into weakly interacting subsystems, similar to system-bath type situations. Using a factorized wave function ansatz, we mathematically characterize dynamical scale…

Analysis of PDEs · Mathematics 2023-12-04 Irene Burghardt , Rémi Carles , Clotilde Fermanian Kammerer , Benjamin Lasorne , Caroline Lasser
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