Quantum simulation of quantum mechanical system with spatial noncommutativity
DOI10.1142/s0219749923500284arXiv2211.08338OpenAlexW4377140934MaRDI QIDQ6096103
Unnamed Author, Shaikh Saad, Salah Nasri, Talal Ahmed Chowdhury, S. Hasibul Hassan Chowdhury
Publication date: 11 September 2023
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.08338
Quantum computation (81P68) Hamilton's equations (70H05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10) Robustness in mathematical programming (90C17)
Cites Work
- Unnamed Item
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- Efficient quantum algorithms for simulating sparse Hamiltonians
- Difference analogs of the harmonic oscillator
- Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
- On the convergence of exponential operators-the Zassenhaus formula, BCH formula and systematic approximants
- Physical instances of noncommuting coordinates
- The computer as a physical system: a microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
- On unitary ray representations of continuous groups
- Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
- Exploring the many-body localization transition in two dimensions
- Quantum Computation and Quantum Information
- Universal Quantum Simulators
- Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
- The noncommutative geometry of the quantum Hall effect
- Quantum Simulations of Physics Problems
- The noncommutative harmonic oscillator in more than one dimension
- Programming a quantum phase of matter
- Gauge Invariance and Mass. II
- Noncommutative field theory
- Quantum mechanics on the noncommutative plane and sphere
- Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom
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