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From available data, we show strong positive spatial correlations in the qubits of a D-Wave 2000Q quantum annealing chip that are connected to qubits outside their own unit cell. Then, by simulating the dynamics of three different spin…

Quantum Physics · Physics 2024-05-15 Jessica Park , Susan Stepney , Irene D'Amico

A technique inspired on quantum annealing is proposed in order to obtain the classical ground state of a spin-glass by tracking the full wavefunction of a given system within the subspace of matrix product states (MPS), using the density…

Quantum Physics · Physics 2007-05-23 Javier Rodriguez-Laguna

For special coupling ratios, the one-dimensional (1D) s=1/2 Heisenberg model with antiferromagnetic nearest and next-nearest neighbor interactions has a pure dimer ground state, and the 1D s=1 Heisenberg model with antiferromagnetic…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller

Quantum chemistry calculations are important applications of quantum annealing. For practical applications in quantum chemistry, it is essential to estimate a ground state energy of the Hamiltonian with chemical accuracy. However, there are…

Quantum Physics · Physics 2021-02-11 Takashi Imoto , Yuya Seki , Yuichiro Matsuzaki , Shiro Kawabata

The semi-classical discrete truncated Wigner approximation (dTWA) has recently been proposed as a simulation method for spin-$1/2$ systems. While it appears to provide a powerful approach which shows promising results in higher dimensions…

We analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum…

Quantum Physics · Physics 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati

Quantum computing is rapidly advancing, harnessing the power of qubits' superposition and entanglement for computational advantages over classical systems. However, scalability poses a primary challenge for these machines. By implementing a…

In a quantum computation with pure states, the generation of large amounts of entanglement is known to be necessary for a speedup with respect to classical computations. However, examples of quantum computations with mixed states are known,…

Quantum Physics · Physics 2007-05-23 Animesh Datta , Guifre Vidal

Track finding can be considered as a complex optimization problem initially introduced in particle physics involving the reconstruction of particle trajectories. A track is typically composed of several consecutive segments (track segments)…

Quantum Physics · Physics 2024-10-28 Duy Dao Do , Hervé Kerivin , Philippe Lacomme , Bogdan Vulpescu

A dynamical model for the collapse of the wave function in a quantum measurement process is proposed by considering the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus interacting with an environment in a…

Quantum Physics · Physics 2007-05-23 A. Venugopalan , Deepak Kumar , R. Ghosh

The development of small-scale digital and analog quantum devices raises the question of how to fairly assess and compare the computational power of classical and quantum devices, and of how to detect quantum speedup. Here we show how to…

Quantum annealing (QA) has the potential to significantly improve solution quality and reduce time complexity in solving combinatorial optimization problems compared to classical optimization methods. However, due to the limited number of…

Quantum Physics · Physics 2025-04-09 Seongmin Kim , Sang-Woo Ahn , In-Saeng Suh , Alexander W. Dowling , Eungkyu Lee , Tengfei Luo

We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. The motivation for this work is based on a series of recent papers. In ~[1] we showed that the entanglement…

Quantum Physics · Physics 2010-01-13 M. J. Everitt

The logistic network design is an abstract optimization problem that, under the assumption of minimal cost, seeks the optimal configuration of the supply chain's infrastructures and facilities based on customer demand. Key economic…

Quantum Physics · Physics 2021-02-04 Yongcheng Ding , Xi Chen , Lucas Lamata , Enrique Solano , Mikel Sanz

Interacting quantum spin models are remarkably useful for describing different types of physical, chemical, and biological systems. Significant understanding of their equilibrium properties has been achieved to date, especially for the case…

Quantum Physics · Physics 2015-06-16 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

Quantum annealing and quantum approximate optimization algorithms hold a great potential to speed-up optimization problems. This could be game-changing for a plethora of applications. Yet, in order to hope to beat classical solvers, quantum…

Quantum Physics · Physics 2024-10-15 Ilia A. Luchnikov , Egor S. Tiunov , Tobias Haug , Leandro Aolita

Predicting software defects early in the development process not only enhances the quality and reliability of the software but also decreases the cost of development. A wide range of machine learning techniques can be employed to create…

Software Engineering · Computer Science 2024-10-23 Ashis Kumar Mandal , Md Nadim , Chanchal K. Roy , Banani Roy , Kevin A. Schneider

Quantum computing is no longer a nascent field. Programmable quantum annealing devices with more that 1000 qubits are commercially available. How does one know that a putative quantum annealing device is indeed quantum? How should one go…

Quantum Physics · Physics 2017-06-23 Joshua Job , Daniel Lidar

Both simulated quantum annealing and physical quantum annealing have shown the emergence of "heavy tails" in their performance as optimizers: The total time needed to solve a set of random input instances is dominated by a small number of…

Quantum Physics · Physics 2016-06-22 Andrew D. King , Emile Hoskinson , Trevor Lanting , Evgeny Andriyash , Mohammad H. Amin

In this article, we show how to map a sampling of the hardest artificial intelligence problems in space exploration onto equivalent Ising models that then can be attacked using quantum annealing implemented in D-Wave machine. We overview…

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