Quantum-Ising Hamiltonian programming in trio, quartet, and sextet qubit
systems
- URL: http://arxiv.org/abs/2009.05310v1
- Date: Fri, 11 Sep 2020 09:50:41 GMT
- Title: Quantum-Ising Hamiltonian programming in trio, quartet, and sextet qubit
systems
- Authors: Minhyuk Kim, Yunheung Song, Jaewan Kim, and Jaewook Ahn
- Abstract summary: Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures.
Here we report three-dimensional spectra of quantum-Ising Hamiltonian systems with programmed qubit connections.
- Score: 0.755972004983746
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Rydberg-atom quantum simulators are of keen interest because of their
possibilities towards high-dimensional qubit architectures. Here we report
three-dimensional conformation spectra of quantum-Ising Hamiltonian systems
with programmed qubit connections. With a Rydberg-atom quantum simulator,
various connected graphs, in which vertices and edges represent atoms and
blockaded couplings, respectively, are constructed in two or three-dimensional
space and their eigenenergies are probed during their topological
transformations. Star, complete, cyclic, and diamond graphs, and their
geometric intermediates, are tested for four atoms and antiprism structures for
six atoms. Spectroscopic resolution (dE/E) less than 10% is achieved and the
observed energy level shifts and merges through structural transformations are
in good agreement with the model few-body quantum-Ising Hamiltonian.
Related papers
- Coherent dynamics of a nuclear-spin-isomer superposition [0.0]
We present a scheme that exploits an avoided crossing in the spectrum to create strong coupling between two uncoupled nuclear-spin-isomer states.
We model our scheme using a four-level Hamiltonian and explore the coherent dynamics in the different regimes and parameters of our system.
arXiv Detail & Related papers (2024-09-20T08:30:53Z) - Quantum simulator of link models using spinor dipolar ultracold atoms [0.0]
Scheme for the quantum simulation of quantum link models in two-dimensional lattices is presented.
We derivation the parameters of the quantum link models by means of two different approaches.
The extension to three-dimensional lattices is presented, and its subtleties are pointed out.
arXiv Detail & Related papers (2022-10-26T16:36:05Z) - Functional building blocks for scalable multipartite entanglement in
optical lattices [7.362583014963337]
We develop a new architecture for implementing layers of quantum gates over moderately-separated atoms incorporated with a quantum gas microscope for single-atom manipulation.
We created and verified functional building blocks for scalable multipartite entanglement by connecting Bell pairs to one-dimensional 10-atom chains and two-dimensional plaquettes of $2times4$ atoms.
arXiv Detail & Related papers (2022-10-06T14:06:46Z) - Penrose dodecahedron, Witting configuration and quantum entanglement [55.2480439325792]
A model with two entangled spin-3/2 particles based on geometry of dodecahedron was suggested by Roger Penrose.
The model was later reformulated using so-called Witting configuration with 40 rays in 4D Hilbert space.
Two entangled systems with quantum states described by Witting configurations are discussed in presented work.
arXiv Detail & Related papers (2022-08-29T14:46:44Z) - Quantum simulation of Ising spins on Platonic graphs [0.8258451067861933]
We present quantum simulation experiments of Ising-like spins on Platonic graphs.
The experiments are performed with two-dimensional arrays of Rydberg atoms and quantum-wire couplings.
arXiv Detail & Related papers (2022-03-03T06:49:45Z) - Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity.
For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles.
In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
arXiv Detail & Related papers (2021-12-22T15:27:30Z) - Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware.
We present an algorithm that compresses the Trotter steps into a single block of quantum gates.
This results in a fixed depth time evolution for certain classes of Hamiltonians.
arXiv Detail & Related papers (2021-08-06T19:38:01Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z) - Quantum simulation of electronic structure with a transcorrelated
Hamiltonian: improved accuracy with a smaller footprint on the quantum
computer [2.640996411999115]
Quantum simulations of electronic structure with a transformed Hamiltonian that includes some electron correlation effects are demonstrated.
A transcorrelated Hamiltonian, paired with extremely compact bases, produces explicitly correlated energies comparable to those from much larger bases.
The use of the very compact transcorrelated Hamiltonian reduces the number of CNOT gates required to achieve cc-pVTZ quality by up to two orders of magnitude, and the number qubits by a factor of three.
arXiv Detail & Related papers (2020-06-03T19:15:32Z) - Probing chiral edge dynamics and bulk topology of a synthetic Hall
system [52.77024349608834]
Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states.
Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension.
We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
arXiv Detail & Related papers (2020-01-06T16:59:08Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.