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We report the realization of a nuclear magnetic resonance computer with three quantum bits that simulates an adiabatic quantum optimization algorithm. Adiabatic quantum algorithms offer new insight into how quantum resources can be used to…

Quantum Physics · Physics 2007-05-23 Matthias Steffen , Wim van Dam , Tad Hogg , Greg Breyta , Isaac Chuang

To date, research in quantum computation promises potential for outperforming classical heuristics in combinatorial optimization. However, when aiming at provable optimality, one has to rely on classical exact methods like integer…

Quantum Physics · Physics 2025-03-13 Friedrich Wagner , Jonas Nüßlein , Frauke Liers

The NP-hard problem of optimizing a quadratic form over the unimodular vector set arises in radar code design scenarios as well as other active sensing and communication applications. To tackle this problem (which we call unimodular…

Systems and Control · Computer Science 2014-10-22 Mojtaba Soltanalian , Petre Stoica

The steady increase in control over individual quantum systems has backed the dream of a quantum technology that provides functionalities beyond any classical device. Two particularly promising applications have been explored during the…

Quantum Physics · Physics 2014-04-10 Andreas Reiserer , Norbert Kalb , Gerhard Rempe , Stephan Ritter

We revisit the question of universality in quantum computing and propose a new paradigm. Instead of forcing a physical system to enact a predetermined set of universal gates (e.g., single-qubit operations and CNOT), we focus on the…

Quantum Physics · Physics 2016-09-08 D. Bacon , J. Kempe , D. P. DiVincenzo , D. A. Lidar , K. B. Whaley

Quantum annealing provides a way of solving optimization problems by encoding them as Ising spin models which are implemented using physical qubits. The solution of the optimization problem then corresponds to the ground state of the…

Quantum Physics · Physics 2017-10-16 Nicholas Chancellor , Stefan Zohren , Paul A. Warburton

New generations of ultracold-atom experiments are continually raising the demand for efficient solutions to optimal control problems. Here, we apply Bayesian optimization to improve a state-preparation protocol recently implemented in an…

Quantum Gases · Physics 2024-07-03 Tizian Blatz , Joyce Kwan , Julian Léonard , Annabelle Bohrdt

Engineering design processes involve iterative design evaluations requiring numerous computationally intensive numerical simulations. Quantum algorithms promise substantial speedups for specific tasks relevant to engineering simulations.…

Quantum Physics · Physics 2026-03-26 Leonhard Hölscher , Lukas Müller , Or Samimi , Tamuz Danzig

In previous research, quantum resources were concretely estimated for solving Elliptic Curve Discrete Logarithm Problem(ECDLP). In [1], the quantum algorithm was optimized for the binary elliptic curves and the main optimization target was…

Quantum Physics · Physics 2023-03-14 Hyeonhak Kim , Seokhie Hong

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…

We present a novel quantum optimization-based route compression technique that significantly reduces storage requirements compared to conventional methods. Route optimization systems face critical challenges in efficiently storing selected…

Quantum Physics · Physics 2025-04-07 Shunsuke Sotobayashi , Yuichiro Minato , Takao Tomono

The emergence of huge-scale, data-intensive linear optimization (LO) problems in applications such as machine learning has driven the need for more computationally efficient interior point methods (IPMs). While conventional IPMs are…

We introduce protocols for designing and manipulating qubits with ultracold alkali atoms in 3D optical lattices. These qubits are formed from two-atom spin superposition states that create a decoherence-free subspace immune to stray…

Quantum Physics · Physics 2023-05-23 Mikhail Mamaev , Joseph H. Thywissen , Ana Maria Rey

Neutral atom arrays have emerged as a powerful platform for quantum computation, simulation, and metrology. Among them, alkaline-earth-like atoms exhibit distinct advantages, including long coherence time and high-fidelity Rydberg gates.…

Quantum information platforms made great progress in the control of many-body entanglement and the implementation of quantum error correction, but it remains a challenge to realize both in the same setup. Here, we propose a mixture of two…

We investigate the feasibility of combining Raman optical lattices with a quantum computing architecture based on lattice-confined magnetically interacting neutral atoms. A particular advantage of the standing Raman field lattices comes…

Quantum Physics · Physics 2009-11-13 Boris Ravaine , Andrei Derevianko , P. R. Berman

We investigate a hybrid quantum circuit where ensembles of cold polar molecules serve as long-lived quantum memories and optical interfaces for solid state quantum processors. The quantum memory realized by collective spin states (ensemble…

Quantum Physics · Physics 2009-12-20 P. Rabl , D. DeMille , J. M. Doyle , M. D. Lukin , R. J. Schoelkopf , P. Zoller

We investigate the out-of-equilibrium dynamics of ultracold atoms trapped in an optical lattice and loaded into an optical resonator that is driven transversely. We derive an effective quantum master equation for weak atom-light coupling…

Quantum Gases · Physics 2018-05-22 Ezequiel Rodríguez Chiacchio , Andreas Nunnenkamp

Ultracold atoms in optical lattices are a powerful tool for quantum simulation, precise measurement, and quantum computation. A fundamental problem in applying this quantum system is how to manipulate the higher bands or orbitals in Bloch…

Quantum Gases · Physics 2022-08-16 Shengjie Jin , Xuzong Chen , Xiaoji Zhou

We develop a quantum optical formalism to treat a two-dimensional array of atoms placed in an optical cavity. Importantly, and in contrast to typical treatments, we account for cooperative dipole-dipole effects mediated by the interaction…

Quantum Physics · Physics 2020-06-04 Ephraim Shahmoon , Dominik S. Wild , Mikhail D. Lukin , Susanne F. Yelin
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