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We review here the recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations. The concept is introduced in successive steps through the studies of mapping of…

Quantum Physics · Physics 2010-09-21 Arnab Das , Bikas K. Chakrabarti

Controlled quantum mechanical devices provide a means of simulating more complex quantum systems exponentially faster than classical computers. Such "quantum simulators" rely heavily upon being able to prepare the ground state of…

Quantum Physics · Physics 2012-08-01 Dvir Kafri , Jacob M. Taylor

I present an explicit classical simulation of arbitrary quantum noise for quantum models in which one qubit interacts with a quantum bath. The classical model simulates the interaction of the bath and the qubit by random unitary evolutions.…

Quantum Physics · Physics 2017-11-01 Seyyed M. H. Halataei

Quantum simulators are a promising technology on the spectrum of quantum devices from specialized quantum experiments to universal quantum computers. These quantum devices utilize entanglement and many-particle behaviors to explore and…

We identify a broad class of physical processes in an optical quantum circuit that can be efficiently simulated on a classical computer: this class includes unitary transformations, amplification, noise, and measurements. This…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Barry C. Sanders

Merging disciplines has led to incredible learnings and breakthroughs throughout history, including the discovery of quantum computing: a cross between computation and quantum physics. In this paper, I will discuss how we can cross quantum…

Quantum Physics · Physics 2025-06-23 Maria Violaris

Quantum theory has found a new field of applications in the realm of information and computation during the recent years. This paper reviews how quantum physics allows information coding in classically unexpected and subtle nonlocal ways,…

Quantum Physics · Physics 2008-11-26 A. Galindo , M. A. Martin-Delgado

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both…

Quantum Physics · Physics 2009-10-31 Barbara M. Terhal , David P. DiVincenzo

Interaction in quantum systems can spread initially localized quantum information into the many degrees of freedom of the entire system. Understanding this process, known as quantum scrambling, is the key to resolving various conundrums in…

Quantum Physics · Physics 2022-02-10 Xiao Mi , Pedram Roushan , Chris Quintana , Salvatore Mandra , Jeffrey Marshall , Charles Neill , Frank Arute , Kunal Arya , Juan Atalaya , Ryan Babbush , Joseph C. Bardin , Rami Barends , Andreas Bengtsson , Sergio Boixo , Alexandre Bourassa , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Zijun Chen , Benjamin Chiaro , Roberto Collins , William Courtney , Sean Demura , Alan R. Derk , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Edward Farhi , Austin G. Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Jonathan A. Gross , Matthew P. Harrigan , Sean D. Harrington , Jeremy Hilton , Alan Ho , Sabrina Hong , Trent Huang , William J. Huggins , L. B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Julian Kelly , Seon Kim , Alexei Kitaev , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Erik Lucero , Orion Martin , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Anthony Megrant , Kevin C. Miao , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , Eric Ostby , Balint Pato , Andre Petukhov , Nicholas Redd , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vladimir Shvarts , Doug Strain , Marco Szalay , Matthew D. Trevithick , Benjamin Villalonga , Theodore White , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Hartmut Neven , Igor Aleiner , Kostyantyn Kechedzhi , Vadim Smelyanskiy , Yu Chen

Quantum coherence allows for reduced-memory simulators of classical processes. Using recent results in single-shot quantum thermodynamics, we derive a minimal work cost rate for quantum simulators that is quasistatically attainable in the…

Quantum Physics · Physics 2020-07-15 Samuel P. Loomis , James P. Crutchfield

Today, people are looking forward to get an awesome computational power. This kind of desire can be answered by quantum computing. By adopting quantum mechanics theory, it can generate a very fast computation result. As known, quantum…

Other Computer Science · Computer Science 2015-12-18 A. B. Mutiara , R. Refianti , J. S. K. Karamoy

The recent advancement of quantum computer hardware offers the potential to simulate quantum many-body systems beyond the capability of its classical counterparts. However, most current works focus on simulating the ground-state properties…

Quantum Physics · Physics 2022-06-14 Chee Kong Lee , Shi-Xin Zhang , Chang-Yu Hsieh , Shengyu Zhang , Liang Shi

The classical simulation of physical processes using standard models of computation is fraught with problems. On the other hand, attempts at modelling real-world computation with the aim of isolating its hypercomputational content have…

Logic · Mathematics 2009-04-21 S. Barry Cooper

In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled…

Quantum Physics · Physics 2014-02-18 J. S. Briggs , A. Eisfeld

(Abridged.) Quantum computers promise to solve some problems exponentially faster than traditional computers, but we still do not fully understand why this is the case. While the most studied model of quantum computation uses qubits, which…

Quantum Physics · Physics 2025-05-29 Cameron Calcluth

We show how a quantum computer can be employed to elucidate reaction mechanisms in complex chemical systems, using the open problem of biological nitrogen fixation in nitrogenase as an example. We discuss how quantum computers can augment…

Quantum Physics · Physics 2017-08-14 Markus Reiher , Nathan Wiebe , Krysta M Svore , Dave Wecker , Matthias Troyer

Recent theoretical results confirm that quantum theory provides the possibility of new ways of performing efficient calculations. The most striking example is the factoring problem. It has recently been shown that computers that exploit…

Quantum Physics · Physics 2008-11-26 Adriano Barenco

The difficulty of simulating quantum systems, well-known to quantum chemists, prompted the idea of quantum computation. One can avoid the steep scaling associated with the exact simulation of increasingly large quantum systems on…

Any quasi-probability representation of a no-signaling system -- including quantum systems -- can be simulated via a purely classical scheme by allowing signed events and a cancellation procedure. This raises a fundamental question: What…

Quantum Physics · Physics 2025-08-11 Adam Brandenburger , Pierfrancesco La Mura

This paper investigates the dynamics of quantum analogs of classical impact oscillators to explore how complex nonlinear behaviors manifest in quantum systems. While classical impact oscillators exhibit chaos and bifurcations, quantum…

Quantum Physics · Physics 2025-09-17 Arnab Acharya , Titir Mukherjee , Deepshikha Singh , Soumitro Banerjee