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Superdense Coding Using Higher Dimensional Embedding.

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  • 1Department of Physics, Harvey Mudd College, Claremont, CA 91711, USA.

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Embedded Dense Coding (EDC) reduces quantum communication errors, outperforming standard dense coding even with noisy channels and processors. This quantum communication advancement was demonstrated on IBM

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quantum channelquantum communicationquantum entanglementqubitquditsuperdense coding

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Area of Science:

  • Quantum Information Science
  • Quantum Communication Protocols
  • Quantum Computing Hardware

Background:

  • Quantum dense coding enables transmitting two classical bits via one qubit using entanglement.
  • Embedded Dense Coding (EDC) generalizes dense coding by using higher-dimensional Hilbert spaces.
  • Assessing EDC's advantage requires comparing transmission error rates against entanglement consumption.

Purpose of the Study:

  • To evaluate the operational advantage of Embedded Dense Coding (EDC) over standard dense coding.
  • To quantify error reduction in EDC under various channel and processor noise conditions.
  • To demonstrate EDC's practical viability through implementation on quantum hardware.

Main Methods:

  • Comparative analysis of transmission error probabilities between EDC and standard dense coding.
  • Simulations and theoretical assessments under conditions of dephasing, loss, and noisy local processors.
  • Experimental implementation and validation of EDC protocols on IBM's Heron quantum processor.

Main Results:

  • EDC achieves lower one-shot transmission errors than standard dense coding in quantum channels with dephasing and loss.
  • EDC demonstrates reduced overall errors even in noiseless channels when local processors are noisy.
  • Successful concrete implementations of EDC were performed on IBM's Heron processor, validating theoretical predictions.

Conclusions:

  • Embedded Dense Coding (EDC) offers a significant advantage over standard dense coding in realistic quantum communication scenarios.
  • EDC provides enhanced robustness against channel noise and local processor imperfections.
  • The practical implementation on IBM's Heron processor confirms EDC's potential for future quantum communication systems.