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Languages : en
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Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these two points of view is a critical step in making the most of this promising technology. In this paper we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. Finally, to demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.
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Languages : en
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Book Description
Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these two points of view is a critical step in making the most of this promising technology. In this paper we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. Finally, to demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.
Author: Alessandro Luis Monteros
Publisher:
ISBN:
Category :
Languages : en
Pages : 264
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Book Description
An important question in quantum simulation is the certication of the quantum simulators with proper readout. We examine how a detector's correlator changes when coupled to a quantum simulator using a diagrammatic technique. From the correlation functions calculated from the diagrammatic technique, we can determine whether or not reliable detection of the simulator's correlator can be achieved. When reliable detection is not possible due to detector back-action, we examine the situations when the back-action can be negligible. In particular, we study a cavity detector coupled to a Transverse Field Ising Model. We use a similar diagrammatic technique to study the interaction between a cavity and a qubit in the ultra strong coupling regime. This cavity-qubit system is of importance in quantum computing and is a fundamental model in cavity QED. Ultrastrong coupling strength enables novel approaches for quantum logic operations. Our approach provides a fresh perspective on calculating the transmission spectra and the imacpt of the ultrastrongly coupled cavity on the qubit behavior.
Author: Braumüller, Jochen
Publisher: KIT Scientific Publishing
ISBN: 3731507803
Category : Computers
Languages : de
Pages : 166
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Book Description
While the universal quantum computer seems not in reach for the near future, this work focusses on analog quantum simulation of intriguing quantum models of light-matter interactions, with the goal of achieving a computational speed-up as compared to classical hardware. Existing building blocks of quantum hardware are used from superconducting circuits, that have proven to be a very suitable experimental platform for the implementation of model Hamiltonians at a high degree of controllability.
Author: Philipp Hans-Jürgen Hauke
Publisher:
ISBN:
Category :
Languages : en
Pages : 399
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Book Description
Many outstanding problems in quantum physics, such as high-Tc superconductivity or quark confinement, are still - after decades of research - awaiting commonly accepted explanations. One reason is that such systems are often difficult to control, show an intermingling of several effects, or are not easily accessible to measurement. To arrive at a deeper understanding of the physics at work, researchers typically derive simplified models designed to capture the most striking phenomena of the system under consideration. However, due to the exponential complexity of Hilbert space, even some of the simplest of such models pose formidable challenges to analytical and numerical calculations. In 1982, Feynman proposed to solve such quantum models with experimental simulation on a physically distinct, specifically engineered quantum system [Int. J. Theor.Phys. 21, 467]. Designed to be governed by the same underlying equations as the original model, it is hoped that direct measurements on these so called quantum simulators (QSs) will allow to gather deep insights into outstanding problems of physics and beyond. In this thesis, we identify four requirements that a useful QS has to fulfill, relevance, control, reliability, and efficiency. Focusing on these, we review the state of the art of two popular approaches, digital QSs (i.e., special purpose quantum computers) and analog QSs (devices with always-on interactions). Further, focusing on possibilities to increase control over QSs, we discuss a scheme to engineer quantum correlations between mesoscopic numbers of spinful particles in optical lattices. This technique, based on quantum polarization spectroscopy, may be useful for state preparation and quantum information protocols. Additionally, employing several analytical and numerical methods for the calculation of many-body ground states, we demonstrate the variety of condensed-matter problems that can be attacked with QSs consisting of ultracold ions or neutral atoms in optical lattices. The chosen examples, some of which have already been realized in experiment, include such diverse settings as frustrated antiferromagnetism, quantum phase transitions in exotic lattice geometries, topological insulators, non-Abelian gauge-fields, orbital order of ultracold Fermions, and systems with long-range interactions. The experimental realization of all of these models requires techniques which go beyond standard optical lattices, e.g., time-periodic driving of lattices with exotic geometry, loading ultracold atoms into higher bands, or immersing trapped ions into an optical lattice. The chosen models, motivated by important open questions of quantum physics, pose difficult problems for classical computers, but they may be amenable in the near future to quantum simulation with ultracold atoms or ions. While the experimental control over relevant models has increased dramatically in the last years, the reliability and efficiency of QSs has received considerably less attention. As a second important part of this thesis, we emphasize the need to consider these aspects under realistic experimental conditions. We discuss specific situations where terms that have typically been neglected in the description of the QS introduce systematic errors and even lead to novel physics. Further, we characterize in a generic example the influence of quenched disorder on an analog QS. Its performance for simulating universal behavior near a quantum phase transition seems satisfactory for low disorder. Moreover, our results suggest a connection between the reliability and efficiency of a QS: it works less reliable exactly in those interesting regimes where classical calculations are less efficient. If QSs fulfill all of our four requirements, they may revolutionize our approach to quantum-mechanical problems, allowing to solve the behavior of complex Hamiltonians, and to design nano-scale materials and chemical compounds from the ground up.
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Languages : en
Pages : 0
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Author:
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Category :
Languages : en
Pages : 8
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Author: Jochen Braumüller
Publisher:
ISBN: 9781013279270
Category : Science
Languages : en
Pages : 158
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Book Description
While the universal quantum computer seems not in reach for the near future, this work focusses on analog quantum simulation of intriguing quantum models of light-matter interactions, with the goal of achieving a computational speed-up as compared to classical hardware. Existing building blocks of quantum hardware are used from superconducting circuits, that have proven to be a very suitable experimental platform for the implementation of model Hamiltonians at a high degree of controllability. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
Author: Kaelyn J. Ferris
Publisher:
ISBN:
Category : Quantum computers
Languages : en
Pages : 0
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Book Description
Quantum simulation of material systems is a potentially powerful application of quantum computing. However, the field is currently limited by both the quantity and quality of its hardware. Thus, strategies to mitigate errors are crucial while the number of qubits on a single processing unit continues to grow. Simulating the dynamics of quantum systems is a particularly fruitful area for which these strategies can be applied. In this dissertation, we review some of the recent advances in simulations and prescribe a broad recipe: from encoding a target Hamiltonian to methods of measuring relevant observables and discuss strategies to reduce the effects of noise along the way. The efficacy of utilizing the native cross-resonance gate of IBM’s superconducting hardware as a means to reduce hardware errors is also examined; obtaining promising improvements in the accuracy of the state dynamics of a simple tight binding chain. We additionally study a variational technique to optimize the approximation of time evolution operators for correlated systems. Here we find modest improvements in the accuracy of the approximated operator for both weakly and strongly correlated Fermi-Hubbard models.
Author: Ping Yang
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Stefanie Czischek
Publisher: Springer Nature
ISBN: 3030527158
Category : Science
Languages : en
Pages : 205
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Book Description
Quantum systems with many degrees of freedom are inherently difficult to describe and simulate quantitatively. The space of possible states is, in general, exponentially large in the number of degrees of freedom such as the number of particles it contains. Standard digital high-performance computing is generally too weak to capture all the necessary details, such that alternative quantum simulation devices have been proposed as a solution. Artificial neural networks, with their high non-local connectivity between the neuron degrees of freedom, may soon gain importance in simulating static and dynamical behavior of quantum systems. Particularly promising candidates are neuromorphic realizations based on analog electronic circuits which are being developed to capture, e.g., the functioning of biologically relevant networks. In turn, such neuromorphic systems may be used to measure and control real quantum many-body systems online. This thesis lays an important foundation for the realization of quantum simulations by means of neuromorphic hardware, for using quantum physics as an input to classical neural nets and, in turn, for using network results to be fed back to quantum systems. The necessary foundations on both sides, quantum physics and artificial neural networks, are described, providing a valuable reference for researchers from these different communities who need to understand the foundations of both.
