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The presence of noise in quantum computers hinders their effective operation. Even though quantum error correction can theoretically remedy this problem, its practical realization is still a challenge. Testing and benchmarking noisy,…

Quantum Physics · Physics 2023-02-15 Adrian Ortega , Orsolya Kálmán , Tamás Kiss

We show on the example of the Arnold cat map that classical chaotic systems can be simulated with exponential efficiency on a quantum computer. Although classical computer errors grow exponentially with time, the quantum algorithm with…

Quantum Physics · Physics 2016-09-08 B. Georgeot , D. L. Shepelyansky

Usual scenarios of fault-tolerant computation are concerned with the fault-tolerant realization of quantum algorithms that compute classical functions, such as Shor's algorithm for factoring. In particular, this means that input and output…

Quantum Physics · Physics 2025-12-03 Matthias Christandl , Omar Fawzi , Ashutosh Goswami

Experiments with superconducting quantum processors have successfully demonstrated the basic functions needed for quantum computation and evidence of utility, albeit without a sizable array of error-corrected qubits. The realization of the…

Quantum sensing harnesses the unique properties of quantum systems to enable precision measurements of physical quantities such as time, magnetic and electric fields, acceleration, and gravitational gradients well beyond the limits of…

Quantum Physics · Physics 2025-07-23 Ivana Nikoloska , Ruud Van Sloun , Osvaldo Simeone

The act of measurement bridges the quantum and classical worlds by projecting a superposition of possible states into a single, albeit probabilistic, outcome. The time-scale of this "instantaneous" process can be stretched using weak…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 R. Vijay , C. Macklin , D. H. Slichter , S. J. Weber , K. W. Murch , R. Naik , A. N. Korotkov , I. Siddiqi

Quantum computers promise to solve certain problems that are intractable for classical computers, such as factoring large numbers and simulating quantum systems. To date, research in quantum computer engineering has focused primarily at…

Universal features of chaotic quantum dynamics underlie our understanding of thermalization in closed quantum systems and the complexity of quantum computations. Reversible automaton circuits, comprised of classical logic gates, have…

Quantum Physics · Physics 2026-03-11 Ben T. McDonough , Claudio Chamon , Justin H. Wilson , Thomas Iadecola

Many-body quantum systems are notoriously hard to study theoretically due to the exponential growth of their Hilbert space. It is also challenging to probe the quantum correlations in many-body states in experiments due to their sensitivity…

Quantum Physics · Physics 2022-10-18 Oliver Lunt , Jonas Richter , Arijeet Pal

Quantum computing promises to revolutionize various fields, yet the execution of quantum programs necessitates an effective compilation process. This involves strategically mapping quantum circuits onto the physical qubits of a quantum…

Quantum Physics · Physics 2024-12-19 Tian Li , Xiao-Yue Xu , Chen Ding , Tian-Ci Tian , Wei-You Liao , Shuo Zhang , He-Liang Huang

The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined. This phenomenon appears in an…

Quantum Physics · Physics 2009-11-06 D. L. Shepelyansky

We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude…

Quantum Physics · Physics 2015-06-04 Pierre de Fouquieres

Digital circuits based on residue number systems have been considered to produce a pseudo-random behavior. The present work is an initial step towards the complete implementation of those systems for similar applications using quantum…

Quantum Physics · Physics 2025-06-03 Andrea Ceschini , Antonello Rosato , Massimo Panella

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective…

Quantum Physics · Physics 2020-07-17 Soonwon Choi , Yimu Bao , Xiao-Liang Qi , Ehud Altman

Strongly correlated quantum systems give rise to many exotic physical phenomena, including high-temperature superconductivity. Simulating these systems on quantum computers may avoid the prohibitively high computational cost incurred in…

Quantum Physics · Physics 2020-10-19 Frank Arute , Kunal Arya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Rami Barends , Andreas Bengtsson , Sergio Boixo , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Yu-An Chen , Ben Chiaro , Roberto Collins , Stephen J. Cotton , William Courtney , Sean Demura , Alan Derk , Andrew Dunsworth , Daniel Eppens , Thomas Eckl , Catherine Erickson , Edward Farhi , Austin Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Rob Graff , Jonathan A. Gross , Steve Habegger , Matthew P. Harrigan , Alan Ho , Sabrina Hong , Trent Huang , William Huggins , Lev B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Seon Kim , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Mike Lindmark , Erik Lucero , Michael Marthaler , Orion Martin , John M. Martinis , Anika Marusczyk , Sam McArdle , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Anthony Megrant , Carlos Mejuto-Zaera , Xiao Mi , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Charles Neill , Hartmut Neven , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Eric Ostby , Bálint Pató , Andre Petukhov , Harald Putterman , Chris Quintana , Jan-Michael Reiner , Pedram Roushan , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vadim Smelyanskiy , Doug Strain , Kevin J. Sung , Peter Schmitteckert , Marco Szalay , Norm M. Tubman , Amit Vainsencher , Theodore White , Nicolas Vogt , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Sebastian Zanker

Quantum computers are poised to radically outperform their classical counterparts by manipulating coherent quantum systems. A realistic quantum computer will experience errors due to the environment and imperfect control. When these errors…

Quantum Physics · Physics 2016-11-21 Joel J. Wallman , Joseph Emerson

Accurate and efficient control of quantum systems is one of the central challenges for quantum information processing. Current state-of-the-art experiments rarely go beyond 10 qubits and in most cases demonstrate only limited control. Here…

Quantum reservoir computing has emerged as a promising paradigm for harnessing quantum systems to process temporal data efficiently by bypassing the costly training of gradient-based learning methods. Here, we demonstrate the capability of…

Quantum Physics · Physics 2026-03-20 Qingyu Li , Chiranjib Mukhopadhyay , Ludovico Minati , Abolfazl Bayat

We show that a quantum computer operating with a small number of qubits can simulate the dynamical localization of classical chaos in a system described by the quantum sawtooth map model. The dynamics of the system is computed efficiently…

Quantum Physics · Physics 2007-05-23 Giuliano Benenti , Giulio Casati , Simone Montangero , Dima L. Shepelyansky

Randomness is both a useful way to model natural systems and a useful tool for engineered systems, e.g. in computation, communication and control. Fully random transformations require exponential time for either classical or quantum…

Quantum Physics · Physics 2016-05-04 Fernando G. S. L. Brandao , Aram W. Harrow , Michal Horodecki