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Chirality

Chirality

Chirality is a term that describes the lack of mirror symmetry in an object. In other words, chiral objects cannot be superposed on their mirror images. For example, our feet are chiral, as the mirror image of the left foot, the right foot, cannot be superposed on the left foot.
Chiral objects exhibit a sense of handedness when they interact with another chiral object. For example, our left foot can only fit in the left shoe and not in the right shoe. Achiral objects — objects that have...

Atomic Nuclei: Nuclear Spin State Overview

Atomic Nuclei: Nuclear Spin State Overview

NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...

Chirality at Nitrogen, Phosphorus, and Sulfur

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Chirality is most prevalent in carbon-based tetrahedral compounds, but this important facet of molecular symmetry extends to sp3-hybridized nitrogen, phosphorus and sulfur centers, including trivalent molecules with lone pairs. Here, the lone pair behaves as a functional group in addition to the other three substituents to form an analogous tetrahedral center that can be chiral.
A consequence of chirality is the need for enantiomeric resolution. While this is theoretically possible for all...

Chirality in Nature

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Chirality is the most intriguing yet essential facet of nature, governing life’s biochemical processes and precision. It can be observed from a snail shell pattern in a macroscopic world to an amino acid, the minutest building block of life. Most of the snails around the world have right-coiled shells because of the intrinsic chirality in their genes. All the amino acids present in the human body exist in an enantiomerically pure state, except for glycine - the sole achiral amino acid. The...

Spin–Spin Coupling: One-Bond Coupling

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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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A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...

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

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Published on: August 2, 2019

Topologically protected quantum state transfer in a chiral spin liquid.

N Y Yao¹, C R Laumann, A V Gorshkov

¹Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA. nyao@fas.harvard.edu

Nature Communications

|March 14, 2013

Summary

We propose a robust quantum state transfer method using chiral spin liquid edge modes, offering protection against disorder and decoherence for quantum communication. This topological approach enhances the reliability of quantum information transfer.

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Area of Science:

Condensed Matter Physics
Quantum Information Science
Topological Materials

Background:

Topology is crucial for robust physical phenomena, including quantum Hall effects and quantum memory.
Topological protection offers inherent resilience against environmental noise and imperfections.

Purpose of the Study:

To propose and analyze a topologically protected channel for quantum state transfer between remote quantum nodes.
To demonstrate the robustness of this channel against realistic experimental imperfections.

Main Methods:

Utilizing the edge mode of a chiral spin liquid to mediate quantum state transfer.
Analyzing the theoretical framework for topological state transfer through spin liquid edge states.

Main Results:

The proposed channel demonstrates intrinsic robustness to disorder and decoherence.
Quantum state transfer is effectively mediated by the chiral spin liquid edge mode.

Conclusions:

The developed method provides a robust pathway for quantum information transfer, leveraging topological properties.
Potential experimental implementations and applications in detecting and characterizing spin liquid phases are discussed.