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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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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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Continuous-variable quantum computing on encrypted data.

Kevin Marshall1, Christian S Jacobsen2, Clemens Schäfermeier2

  • 1Department of Physics, University of Toronto, 60 St. George Street, Toronto M5S 1A7, Canada.

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This study introduces a quantum computing approach for secure encrypted data computation, enhancing client privacy beyond classical methods. It demonstrates practical feasibility over 10km, paving the way for quantum-secured cloud networks.

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Area of Science:

  • Quantum Information Science
  • Cryptography
  • Cloud Computing Security

Background:

  • Classical encryption methods for data computation are vulnerable to computational power limitations.
  • Protecting client privacy in cloud and distributed computing is a significant challenge.
  • Unconditionally secure privacy solutions are not achievable with current classical techniques.

Purpose of the Study:

  • To theoretically investigate and experimentally demonstrate a quantum solution for secure computation on encrypted data.
  • To leverage continuous-variable quantum technology for enhanced user privacy.
  • To assess the feasibility of quantum-secured computation over significant distances.

Main Methods:

  • Theoretical investigation of a quantum computational approach.
  • Experimental demonstration using Gaussian displacement and squeezing operations.
  • Testing system performance with simulated fiber optic losses up to 10 km.

Main Results:

  • A quantum solution for secure computation on encrypted data was theoretically developed.
  • Experimental validation confirmed the quantum approach's effectiveness.
  • Security was maintained despite signal losses of 10 km between client and server.

Conclusions:

  • Continuous-variable quantum technology offers a path to unconditionally secure computation on encrypted data.
  • The demonstrated quantum approach is practical and resilient to signal loss.
  • This technology has the potential for widespread adoption in future cloud computing networks.