Quantum-circuit design for efficient simulations of many-body quantum dynamics
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Summary
An efficient autonomous quantum-circuit design algorithm is constructed for creating efficient quantum circuits to simulate Hamiltonian many-body quantum dynamics for arbitrary input states and an algorithm is devised that exploits commutativity to optimize the circuits for parallel execution.
- Type
- article
- Published
- 2011-08-22
- Cited by
- 78
- References
- 36
- Access
- Open access
- OpenAlex
- https://openalex.org/W2073977329
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:119202401
Keywords
Electronic circuit, Hamiltonian (control theory), Quantum, Quantum gate, Quantum circuit
References
- Inhomogeneous Electron Gas
- Mathematics of Quantum Computation and Quantum Technology
- Quantum error correction for beginners
- On the efficiency of quantum algorithms for Hamiltonian simulation
- Higher order decompositions of ordered operator exponentials
- Quantum Computation and Quantum Information
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- The Nuclear Many-Body Problem
- General theory of fractal path integrals with applications to many‐body theories and statistical physics
- Limitations of quantum simulation examined by simulating a pairing Hamiltonian using nuclear magnetic resonance.
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Controlling spin exchange interactions of ultracold atoms in optical lattices.
- Quantum information storage using tunable flux qubits
- Universal Quantum Simulators
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices.
- Simulated Quantum Computation of Molecular Energies
- Simulating quantum dynamics on a quantum computer
- Polynomial-time simulation of pairing models on a quantum computer.
- Efficient Quantum Algorithms for Simulating Sparse Hamiltonians
- Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
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- Adiabatic Quantum Simulation of Quantum Chemistry
- Towards Viable Quantum Computation for Chemistry
- Householder methods for quantum circuit design
- Quantum Algorithms for Fermionic Quantum Field Theories
- Quantum circuit design for accurate simulation of qudit channels
- Multiple network alignment on quantum computers
- Floating point representations in quantum circuit synthesis
- Product formulas for exponentials of commutators
- A universal quantum circuit scheme for finding complex eigenvalues
- Elucidating reaction mechanisms on quantum computers
- Quantum Algorithms for Quantum Chemistry based on the sparsity of the CI-matrix
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Combinatorial algorithms for perturbation theory and application on quantum computing
- Divide and conquer approach to quantum Hamiltonian simulation
- Towards quantum simulations with circular Rydberg atoms
- Toward the first quantum simulation with quantum speedup
- Application of fermionic marginal constraints to hybrid quantum algorithms
- Quantum Algorithms for Scientific Computing and Approximate Optimization
- Faster quantum simulation by randomization
- Spin-Boson Model to Demonstrate Quantum Tunneling in Biomolecules using IBM Quantum Computer
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