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Related Concept Videos

Non-ohmic Devices00:51

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In most substances, the current flow is proportional to the voltage applied to it. A simple relationship between the values of current, voltage, and resistance is known as Ohm's law. Nonohmic devices do not exhibit a linear relationship between voltage and current. One such device is the semiconducting circuit element known as a diode. A diode is a circuit device that allows current flow in only one direction.
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Updated: May 25, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Nonperturbative gadget for topological quantum codes.

Samuel A Ocko1, Beni Yoshida

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a nonperturbative method to simulate complex many-body spin systems using simpler two-body interactions. This approach enables exact solutions and localized excitations for quantum information processing.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Last Updated: May 25, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Published on: August 2, 2019

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Many-body entangled systems, crucial for quantum information processing, often feature complex nonlocal interactions.
  • Approximating these systems with perturbative two-body interactions presents practical limitations.

Purpose of the Study:

  • To develop a nonperturbative scheme for simulating many-body spin Hamiltonians using two-body Hamiltonians.
  • To enable exact solvability and support localized quasiparticle excitations.

Main Methods:

  • Proposing a novel class of exactly solvable Hamiltonians.
  • Demonstrating their ability to support localized quasiparticle excitations.

Main Results:

  • The proposed Hamiltonians are exactly solvable with ground state degeneracy.
  • They support completely localized quasiparticle excitations, ideal for quantum information processing.
  • The method is demonstrated for the toric code and quantum double models.

Conclusions:

  • The developed nonperturbative scheme offers a significant advancement over perturbative approximations for simulating complex spin systems.
  • The resulting Hamiltonians are well-suited for quantum information processing tasks due to their exact solvability and localized excitations.
  • Potential exists for generalizing this construction to other nonlocal spin Hamiltonians.