Quantum Fields

# Quantum Simulation

The field of quantum simulation is divided into laboratory simulation and computer simulation. In laboratory quantum simulation, quantum systems that are controllable can be used to reproduce the behavior of inaccessible quantum systems that are difficult to investigate in the laboratory.

The field of quantum simulation is divided into laboratory simulation and computer simulation.

In laboratory quantum simulation, quantum systems that are controllable are used to reproduce the behavior of inaccessible quantum systems that are difficult to investigate in the laboratory. Simulations are usually inefficient for standard classical computers. In general, classical simulation of quantum systems requires many resources that increase with increasing system size, since the Hilbert space (classical space) is exponentially related to the size of the system. Numerical methods, such as tensor network methods, density matrix normalization groups, and Monte Carlo quantum methods, can calculate the ground state properties in certain states. Such classical simulations are only applicable to a limited set of problems that have their own limitations. For example, the sizes of systems that can be studied numerically with classical computers are often very small, and this classical tool does not have the capability to fully understand the complexity of large particle quantum phenomena. In practice, a quantum simulator is a physical quantum system that has been carefully designed or manipulated to allow the characterization of a specific quantum or classical system with intrinsic interactions. Specifically we can say:

• A quantum simulator is an experimental system that can simulate a highly freedom-interacting quantum system (in branches such as dense matter, high-energy physics, quantum chemistry, and cosmology).

• Simulated models should be able to address a challenging issue and enhance our understanding of it.

• Simulated models must be computationally difficult or impossible for a classic computer.

• The quantum simulator should allow for extensive control of the simulated model parameters as well as control of the preparation, manipulation and representation of system states. This feature can be used to test models and hypotheses over a wide parametric range and precise fashion.

Static quantum simulators investigate the static properties of interacting systems including ground state properties using quantum anilers and quantum dynamical simulators.

A number of physical systems that can be used for quantum simulation include:

• Ultra-cold atomic and molecular quantum gases, especially cold atom systems confined to optical networks or continuous systems with atomic chips

• Super trapped ions

• Polar Condensate in Semiconductor Nanostructures

• Circuit-Based Quantum Electrodynamics

• Quantum dot arrays

• Josephson displacement and superconducting qubits previously used in commercial applications in quantum anglers

Photonic systems

In general, the purpose of quantum simulation is to identify interesting and important models that are computationally difficult for classical simulations, to develop validation tools and to validate quantum simulation results, as well as to design experimental layouts and Applied sufficiently and with a high degree of freedom to control its quantum parameters.

Computer simulation, one of the major branches in the field of quantum science, is in the field of computational quantum chemistry and physics, where modeling of physical, chemical, biological and cognitive systems is performed using quantum models. Not.

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In laboratory quantum simulation, quantum systems that are controllable are used to reproduce the behavior of inaccessible quantum systems that are difficult to investigate in the laboratory. Simulations are usually inefficient for standard classical computers. In general, classical simulation of quantum systems requires many resources that increase with increasing system size, since the Hilbert space (classical space) is exponentially related to the size of the system. Numerical methods, such as tensor network methods, density matrix normalization groups, and Monte Carlo quantum methods, can calculate the ground state properties in certain states. Such classical simulations are only applicable to a limited set of problems that have their own limitations. For example, the sizes of systems that can be studied numerically with classical computers are often very small, and this classical tool does not have the capability to fully understand the complexity of large particle quantum phenomena. In practice, a quantum simulator is a physical quantum system that has been carefully designed or manipulated to allow the characterization of a specific quantum or classical system with intrinsic interactions. Specifically we can say:

• A quantum simulator is an experimental system that can simulate a highly freedom-interacting quantum system (in branches such as dense matter, high-energy physics, quantum chemistry, and cosmology).

• Simulated models should be able to address a challenging issue and enhance our understanding of it.

• Simulated models must be computationally difficult or impossible for a classic computer.

• The quantum simulator should allow for extensive control of the simulated model parameters as well as control of the preparation, manipulation and representation of system states. This feature can be used to test models and hypotheses over a wide parametric range and precise fashion.

Static quantum simulators investigate the static properties of interacting systems including ground state properties using quantum anilers and quantum dynamical simulators.

A number of physical systems that can be used for quantum simulation include:

• Ultra-cold atomic and molecular quantum gases, especially cold atom systems confined to optical networks or continuous systems with atomic chips

• Super trapped ions

• Polar Condensate in Semiconductor Nanostructures

• Circuit-Based Quantum Electrodynamics

• Quantum dot arrays

• Josephson displacement and superconducting qubits previously used in commercial applications in quantum anglers

Photonic systems

In general, the purpose of quantum simulation is to identify interesting and important models that are computationally difficult for classical simulations, to develop validation tools and to validate quantum simulation results, as well as to design experimental layouts and Applied sufficiently and with a high degree of freedom to control its quantum parameters.

Computer simulation, one of the major branches in the field of quantum science, is in the field of computational quantum chemistry and physics, where modeling of physical, chemical, biological and cognitive systems is performed using quantum models. Not.

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