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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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Digital Quantum Simulation of Spin Transport.

Yi-Ting Lee1, Bibek Pokharel2,3, Jeffrey Cohn3,4

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Summary
This summary is machine-generated.

Researchers reliably simulated quantum spin transport using spin-current autocorrelation functions on a superconducting qubit device. This breakthrough enables direct study of quantum transport phenomena, overcoming previous limitations.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Quantum spin systems are crucial for spintronic devices and quantum computing.
  • Probing spin transport traditionally uses spin-spin autocorrelation functions (ACF).
  • Spin-current ACF offers more direct transport insights but is computationally expensive.

Purpose of the Study:

  • To demonstrate reliable digital quantum simulation of spin transport via spin-current ACF.
  • To overcome the high gate cost associated with previous methods.
  • To investigate transport phenomena in a 40-site 1D XXZ Heisenberg model.

Main Methods:

  • Utilized a superconducting-qubit-based transmon device for quantum simulation.
  • Employed a direct measurement scheme using nonunitary operations and midcircuit measurements.
  • Overcame limitations of indirect measurement schemes like the Hadamard test.

Main Results:

  • Successfully simulated spin transport via spin-current ACF in pre-fault-tolerant digital quantum simulation.
  • Observed Kardar-Parisi-Zhang scaling in the superdiffusive regime.
  • Confirmed the vanishing of Drude weight in the diffusive regime.

Conclusions:

  • Pre-fault-tolerant digital quantum simulation is a viable tool for studying quantum transport phenomena.
  • Direct measurement schemes with midcircuit measurements are effective for probing spin transport.
  • The study provides new insights into transport regimes of the 1D XXZ Heisenberg model.