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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Towards Holography via Quantum Source-Channel Codes.

Fernando Pastawski¹, Jens Eisert¹, Henrik Wilming¹

¹Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany.

Physical Review Letters

|July 29, 2017

Summary

This summary is machine-generated.

This study introduces quantum source-channel codes, linking quantum error correction (QEC) to conformal field theories. These codes demonstrate how critical systems like the Ising model offer inherent protection against data loss.

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Area of Science:

Quantum Information Science
Condensed Matter Physics
High Energy Physics

Background:

Quantum error correction (QEC) offers insights into many-body quantum physics and topological phases.
Holography research (AdS/CFT) suggests QEC's relevance to conformal field theories.
Quantum source-channel codes merge lossy compression and approximate QEC, aligning with holographic predictions.

Purpose of the Study:

To introduce quantum source-channel codes inspired by holography.
To analyze the erasure decoding performance of these codes using conditional mutual information.
To provide a concrete interpretation of conformal field theories as quantum error correcting codes.

Main Methods:

Utilized a recent construction for approximate recovery maps.
Calculated conditional mutual information to derive erasure decoding guarantees.
Examined Gibbs states of the transverse field Ising model at criticality.

Main Results:

Derived performance guarantees for erasure decoding in quantum source-channel codes.
Demonstrated that critical Gibbs states of the Ising model exhibit protection from local erasure.
Established the first concrete interpretation of a conformal field theory as a quantum error correcting code.

Conclusions:

Quantum source-channel codes are a valuable tool for understanding holography and quantum information.
Conformal field theories can be viewed as quantum error correcting codes.
These codes have significance beyond their holographic applications.