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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Practical Entanglement Estimation for Spin-System Quantum Simulators.

O Marty1, M Cramer1, M B Plenio1

  • 1Institut für Theoretische Physik & IQST, Albert-Einstein-Allee 11, Universität Ulm, Germany.

Physical Review Letters
|March 26, 2016
PubMed
Summary
This summary is machine-generated.

We developed practical methods to measure quantum entanglement in simulators using common experimental tools. These techniques provide reliable entanglement bounds for benchmarking quantum devices.

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Area of Science:

  • Quantum Information Science
  • Quantum Simulation
  • Condensed Matter Physics

Background:

  • Entanglement is crucial for quantum simulation but difficult to measure.
  • Realistic quantum simulators face challenges like noise and temperature (mixedness).

Purpose of the Study:

  • To present practical methods for measuring entanglement in quantum simulators.
  • To develop entanglement measurement schemes applicable to trapped ions, cold atoms, and superconducting qubits.
  • To address challenges posed by mixed states in realistic experimental conditions.

Main Methods:

  • Focus on long- and short-range Ising-type Hamiltonians.
  • Identify a single observable as a lower bound for entanglement, measurable via a simple quantum circuit.
  • Evaluate routinely measured observables as quantitative entanglement witnesses.

Main Results:

  • A single, simple-to-measure observable provides a lower bound for entanglement.
  • Established methods for using standard observables as entanglement witnesses under realistic conditions.
  • Demonstrated applicability to various quantum simulation platforms.

Conclusions:

  • The proposed methods offer practical routes to quantify entanglement in quantum simulators.
  • These techniques facilitate experimental studies of entanglement scaling and benchmarking of quantum devices.
  • Enables reliable characterization of quantum simulator performance.