The Experts below are selected from a list of 62823 Experts worldwide ranked by ideXlab platform
M K Joshi - One of the best experts on this subject based on the ideXlab platform.
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Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K Joshi, Petar Jurcevic, Christine A. Muschik, Pietro Silvi, Rainer Blatt, Christian F. RoosAbstract:Hybrid classical-Quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a Quantum co-processor, while benefitting from Quantum resources. Here we present experiments demonstrating self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. Contrary to analog Quantum Simulation, this approach forgoes the requirement of realising the targeted Hamiltonian directly in the laboratory, thus allowing the study of a wide variety of previously intractable target models. Here, we focus on the Lattice Schwinger model, a gauge theory of 1D Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analog Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting symmetries of the target Hamiltonian. We determine ground states, energy gaps and, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic error bars for energies, thus addressing the long-standing challenge of verifying Quantum Simulation.
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self verifying variational Quantum Simulation of lattice models
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K JoshiAbstract:Hybrid classical–Quantum algorithms aim to variationally solve optimization problems using a feedback loop between a classical computer and a Quantum co-processor, while benefiting from Quantum resources. Here we present experiments that demonstrate self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. In contrast to analogue Quantum Simulation, this approach forgoes the requirement of realizing the targeted Hamiltonian directly in the laboratory, thus enabling the study of a wide variety of previously intractable target models. We focus on the lattice Schwinger model, a gauge theory of one-dimensional Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analogue Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting the symmetries of the target Hamiltonian. We determine ground states, energy gaps and additionally, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic errors for the energies, thus taking a step towards verifying Quantum Simulation. Quantum-classical variational techniques are combined with a programmable analogue Quantum simulator based on a one-dimensional array of up to 20 trapped calcium ions to simulate the ground state of the lattice Schwinger model.
Christian Kokail - One of the best experts on this subject based on the ideXlab platform.
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Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K Joshi, Petar Jurcevic, Christine A. Muschik, Pietro Silvi, Rainer Blatt, Christian F. RoosAbstract:Hybrid classical-Quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a Quantum co-processor, while benefitting from Quantum resources. Here we present experiments demonstrating self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. Contrary to analog Quantum Simulation, this approach forgoes the requirement of realising the targeted Hamiltonian directly in the laboratory, thus allowing the study of a wide variety of previously intractable target models. Here, we focus on the Lattice Schwinger model, a gauge theory of 1D Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analog Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting symmetries of the target Hamiltonian. We determine ground states, energy gaps and, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic error bars for energies, thus addressing the long-standing challenge of verifying Quantum Simulation.
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self verifying variational Quantum Simulation of lattice models
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K JoshiAbstract:Hybrid classical–Quantum algorithms aim to variationally solve optimization problems using a feedback loop between a classical computer and a Quantum co-processor, while benefiting from Quantum resources. Here we present experiments that demonstrate self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. In contrast to analogue Quantum Simulation, this approach forgoes the requirement of realizing the targeted Hamiltonian directly in the laboratory, thus enabling the study of a wide variety of previously intractable target models. We focus on the lattice Schwinger model, a gauge theory of one-dimensional Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analogue Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting the symmetries of the target Hamiltonian. We determine ground states, energy gaps and additionally, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic errors for the energies, thus taking a step towards verifying Quantum Simulation. Quantum-classical variational techniques are combined with a programmable analogue Quantum simulator based on a one-dimensional array of up to 20 trapped calcium ions to simulate the ground state of the lattice Schwinger model.
Michael J. Hartmann - One of the best experts on this subject based on the ideXlab platform.
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superconducting Quantum many body circuits for Quantum Simulation and computing
Applied Physics Letters, 2020Co-Authors: Samuel A. Wilkinson, Michael J. HartmannAbstract:Quantum simulators are attractive as a means to study many-body Quantum systems that are not amenable to classical numerical treatment. A versatile framework for Quantum Simulation is offered by superconducting circuits. In this perspective, we discuss how superconducting circuits allow the engineering of a wide variety of interactions, which, in turn, allows the Simulation of a wide variety of model Hamiltonians. In particular, we focus on strong photon–photon interactions mediated by nonlinear elements. This includes on-site, nearest-neighbor, and four-body interactions in lattice models, allowing the implementation of extended Bose–Hubbard models and the toric code. We discuss not only the present state in analog Quantum Simulation but also future perspectives of superconducting Quantum Simulation, which open up when concatenating Quantum gates in emerging Quantum computing platforms.
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Superconducting Quantum many-body circuits for Quantum Simulation and computing.
Applied Physics Letters, 2020Co-Authors: Samuel A. Wilkinson, Michael J. HartmannAbstract:Quantum simulators are attractive as a means to study many-body Quantum systems that are not amenable to classical numerical treatment. A versatile framework for Quantum Simulation is offered by superconducting circuits. In this perspective, we discuss how superconducting circuits allow the engineering of a wide variety of interactions, which in turn allows the Simulation of a wide variety of model Hamiltonians. In particular we focus on strong photon-photon interactions mediated by nonlinear elements. This includes on-site, nearest-neighbour and four-body interactions in lattice models, allowing the implementation of extended Bose-Hubbard models and the toric code. We discuss not only the present state in analogue Quantum Simulation, but also future perspectives of superconducting Quantum Simulation that open up when concatenating Quantum gates in emerging Quantum computing platforms.
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Many-body Quantum circuits for Quantum Simulation and computing
arXiv: Quantum Physics, 2020Co-Authors: Samuel A. Wilkinson, Michael J. HartmannAbstract:Quantum simulators are attractive as a means to study many-body Quantum systems that are not amenable to classical numerical treatment. A versatile framework for Quantum Simulation is offered by superconducting circuits. In this perspective, we discuss how superconducting circuits allow the engineering of a wide variety of interactions, which in turn allows the Simulation of a wide variety of model Hamiltonians. In particular we focus on strong photon-photon interactions mediated by nonlinear elements. This includes on-site, nearest-neighbour and four-body interactions in lattice models, allowing the implementation of extended Bose-Hubbard models and the toric code. We discuss not only the present state in analogue Quantum Simulation, but also future perspectives of superconducting Quantum Simulation that open up when concatenating Quantum gates in emerging Quantum computing platforms.
Christian F. Roos - One of the best experts on this subject based on the ideXlab platform.
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Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K Joshi, Petar Jurcevic, Christine A. Muschik, Pietro Silvi, Rainer Blatt, Christian F. RoosAbstract:Hybrid classical-Quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a Quantum co-processor, while benefitting from Quantum resources. Here we present experiments demonstrating self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. Contrary to analog Quantum Simulation, this approach forgoes the requirement of realising the targeted Hamiltonian directly in the laboratory, thus allowing the study of a wide variety of previously intractable target models. Here, we focus on the Lattice Schwinger model, a gauge theory of 1D Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analog Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting symmetries of the target Hamiltonian. We determine ground states, energy gaps and, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic error bars for energies, thus addressing the long-standing challenge of verifying Quantum Simulation.
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Quantum Simulation of Quantum field theories in trapped ions.
Physical review letters, 2011Co-Authors: Jorge Casanova, Christian F. Roos, Rene Gerritsma, Lucas Lamata, Iñigo L. Egusquiza, Juan José García-ripoll, Enrique SolanoAbstract:We propose the Quantum Simulation of fermion and antifermion field modes interacting via a bosonic field mode, and present a possible implementation with two trapped ions. This Quantum platform allows for the scalable add up of bosonic and fermionic modes, and represents an avenue towards Quantum Simulations of Quantum field theories in perturbative and nonperturbative regimes.
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Quantum Simulation of the Dirac equation
Nature, 2010Co-Authors: Rene Gerritsma, Enrique Solano, F Zahringer, Rainer Blatt, Gerhard Kirchmair, Christian F. RoosAbstract:The Dirac equation, proposed by Paul Dirac in 1928 to describe the behaviour of relativistic Quantum particles, merges Quantum mechanics with special relativity. A number of peculiar effects emerge from the equation, including a rapid quivering motion or 'Zitterbewegung', well established in theory but difficult to observe in real particles. Christian Roos and colleagues have developed a proof-of-principle Quantum Simulation of the Dirac equation using a single trapped ion set to behave as a free relativistic Quantum particle. The high level of control of trapped-ion experimental parameters in this system makes it possible to simulate and study Zitterbewegung and other textbook examples of relativistic Quantum physics. The Dirac equation successfully merges Quantum mechanics with special relativity. It predicts some peculiar effects such as 'Zitterbewegung', an unexpected quivering motion of a free relativistic Quantum particle. This and other predicted phenomena are key fundamental examples for understanding relativistic Quantum effects, but are difficult to observe in real particles. Here, using a single trapped ion set to behave as a free relativistic Quantum particle, a Quantum Simulation of the one-dimensional Dirac equation is demonstrated. The Dirac equation1 successfully merges Quantum mechanics with special relativity. It provides a natural description of the electron spin, predicts the existence of antimatter2 and is able to reproduce accurately the spectrum of the hydrogen atom. The realm of the Dirac equation—relativistic Quantum mechanics—is considered to be the natural transition to Quantum field theory. However, the Dirac equation also predicts some peculiar effects, such as Klein’s paradox3 and ‘Zitterbewegung’, an unexpected quivering motion of a free relativistic Quantum particle4. These and other predicted phenomena are key fundamental examples for understanding relativistic Quantum effects, but are difficult to observe in real particles. In recent years, there has been increased interest in Simulations of relativistic Quantum effects using different physical set-ups5,6,7,8,9,10,11, in which parameter tunability allows access to different physical regimes. Here we perform a proof-of-principle Quantum Simulation of the one-dimensional Dirac equation using a single trapped ion7 set to behave as a free relativistic Quantum particle. We measure the particle position as a function of time and study Zitterbewegung for different initial superpositions of positive- and negative-energy spinor states, as well as the crossover from relativistic to non-relativistic dynamics. The high level of control of trapped-ion experimental parameters makes it possible to simulate textbook examples of relativistic Quantum physics.
Christine Maier - One of the best experts on this subject based on the ideXlab platform.
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Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K Joshi, Petar Jurcevic, Christine A. Muschik, Pietro Silvi, Rainer Blatt, Christian F. RoosAbstract:Hybrid classical-Quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a Quantum co-processor, while benefitting from Quantum resources. Here we present experiments demonstrating self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. Contrary to analog Quantum Simulation, this approach forgoes the requirement of realising the targeted Hamiltonian directly in the laboratory, thus allowing the study of a wide variety of previously intractable target models. Here, we focus on the Lattice Schwinger model, a gauge theory of 1D Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analog Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting symmetries of the target Hamiltonian. We determine ground states, energy gaps and, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic error bars for energies, thus addressing the long-standing challenge of verifying Quantum Simulation.
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self verifying variational Quantum Simulation of lattice models
Nature, 2019Co-Authors: Christian Kokail, Christine Maier, R Van Bijnen, Tiff Brydges, M K JoshiAbstract:Hybrid classical–Quantum algorithms aim to variationally solve optimization problems using a feedback loop between a classical computer and a Quantum co-processor, while benefiting from Quantum resources. Here we present experiments that demonstrate self-verifying, hybrid, variational Quantum Simulation of lattice models in condensed matter and high-energy physics. In contrast to analogue Quantum Simulation, this approach forgoes the requirement of realizing the targeted Hamiltonian directly in the laboratory, thus enabling the study of a wide variety of previously intractable target models. We focus on the lattice Schwinger model, a gauge theory of one-dimensional Quantum electrodynamics. Our Quantum co-processor is a programmable, trapped-ion analogue Quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting the symmetries of the target Hamiltonian. We determine ground states, energy gaps and additionally, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic errors for the energies, thus taking a step towards verifying Quantum Simulation. Quantum-classical variational techniques are combined with a programmable analogue Quantum simulator based on a one-dimensional array of up to 20 trapped calcium ions to simulate the ground state of the lattice Schwinger model.
