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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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Norton's Theorem01:14

Norton's Theorem

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Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the one depicted...
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2D NMR: Homonuclear Correlation Spectroscopy (COSY)01:06

2D NMR: Homonuclear Correlation Spectroscopy (COSY)

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Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum Search on Encrypted Data Based on Quantum Homomorphic Encryption.

Qing Zhou1,2,3, Songfeng Lu4,5, Yongquan Cui6

  • 1School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China.

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We introduce a quantum homomorphic encryption search protocol enabling clients to securely outsource data searching to untrusted quantum servers. This method simplifies client-side computation for secure quantum data searching and circuit evaluation.

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Area of Science:

  • Quantum cryptography
  • Secure computation
  • Information security

Background:

  • Quantum homomorphic encryption (QHE) allows computations on encrypted data.
  • Secure search protocols are crucial for data privacy.
  • Outsourcing computation to powerful servers raises security concerns.

Purpose of the Study:

  • To develop a homomorphic search protocol using quantum homomorphic encryption.
  • To enable clients with limited quantum capabilities to securely search encrypted data on untrusted quantum servers.
  • To present a secure protocol for evaluating Clifford circuits using QHE.

Main Methods:

  • A novel homomorphic search protocol based on quantum homomorphic encryption.
  • Outsourcing the interactive key-update process to a trusted key center.
  • A compact and perfectly secure quantum homomorphic evaluation protocol for Clifford circuits.

Main Results:

  • Clients can outsource encrypted data search to quantum servers without decryption.
  • Client-side computation is limited to data preparation, encryption, and result decryption in linear time.
  • The decryption key for Clifford circuit evaluation can be computed by the client with polynomial overhead.

Conclusions:

  • The proposed protocol enhances secure data searching capabilities for clients with limited quantum resources.
  • It offers a practical approach to leveraging powerful quantum servers for data analysis while maintaining data privacy.
  • The protocol provides a secure and efficient method for quantum circuit evaluation using homomorphic encryption.