• Corpus ID: 236170908

Realizing Fractional-Quantum-Hall Gravitons on Quantum Computers

@inproceedings{Kirmani2021RealizingFG,
  title={Realizing Fractional-Quantum-Hall Gravitons on Quantum Computers},
  author={A. A. Kirmani and Kieran Bull and Chang-Yu Hou and Zlatko Papi'c and Armin Rahmani and Pouyan Ghaemi},
  year={2021}
}
Ammar Kirmani, Kieran Bull, Chang-Yu Hou, Zlatko Papić, Armin Rahmani, 5 and Pouyan Ghaemi 7 Department of Physics and Astronomy, Western Washington University, Bellingham, Washington 98225, USA School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom Schlumberger-Doll Research, Cambridge, MA 02139, USA Department of Physics and Astronomy and Advanced Materials Science and Engineering Center, Western Washington University, Bellingham, Washington 98225, USA Kavli… 

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References

SHOWING 1-10 OF 66 REFERENCES
Entanglement from tensor networks on a trapped-ion QCCD quantum computer
The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum
Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
Neutral excitations in a fractional quantum Hall droplet define the incompressibility gap of the topological phase. In this work, we derived a set of analytical results for the energy gap of the
Thermalization and Its Absence within Krylov Subspaces of a Constrained Hamiltonian
We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM) preserving model of interacting fermions in one dimension (1D), which arises in multiple experimentally
A Quantum Approximate Optimization Algorithm
We introduce a quantum algorithm that produces approximate solutions for combinatorial optimization problems. The algorithm depends on a positive integer p and the quality of the approximation
Quantum Supremacy through the Quantum Approximate Optimization Algorithm
The Quantum Approximate Optimization Algorithm (QAOA) is designed to run on a gate model quantum computer and has shallow depth. It takes as input a combinatorial optimization problem and outputs a
Spacetime and Geometry: An Introduction to General Relativity
1. Special Relativity and Flat Spacetime. 2. Manifolds. 3. Curvature. 4. Gravitation. 5. The Schwarzchild Solution. 6. More General Black Holes. 7. Perturbation Theory and Gravitational Radiation. 8.
Supplemental Online Material
Recombinant proteins. Four TA deletion mutants (TAwt4-6 and 6) were amplified by PCR and subcloned into the EcoRI and SalI sites of pGEX-T4-1 (GE Healthcare) as Glutathione-S-transferase (GST)
“A and B”:
Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.
Phys
  • Rev. B 93, 161302
  • 2016
Phys
  • Rev. Lett. 107, 116801
  • 2011
...
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2
3
4
5
...