Towards Holography via Quantum Source-Channel Codes
Pastawski F, Eisert J, Wilming H (2017)
Publication Type: Journal article
Publication year: 2017
Journal
Book Volume: 119
Article Number: 020501
Journal Issue: 2
DOI: 10.1103/PhysRevLett.119.020501
Abstract
While originally motivated by quantum computation, quantum error correction (QEC) is currently providing valuable insights into many-body quantum physics, such as topological phases of matter. Furthermore, mounting evidence originating from holography research (AdS/CFT) indicates that QEC should also be pertinent for conformal field theories. With this motivation in mind, we introduce quantum source-channel codes, which combine features of lossy compression and approximate quantum error correction, both of which are predicted in holography. Through a recent construction for approximate recovery maps, we derive guarantees on its erasure decoding performance from calculations of an entropic quantity called conditional mutual information. As an example, we consider Gibbs states of the transverse field Ising model at criticality and provide evidence that they exhibit nontrivial protection from local erasure. This gives rise to the first concrete interpretation of a bona fide conformal field theory as a quantum error correcting code. We argue that quantum source-channel codes are of independent interest beyond holography.
Involved external institutions
Germany (DE)How to cite
APA:
Pastawski, F., Eisert, J., & Wilming, H. (2017). Towards Holography via Quantum Source-Channel Codes. Physical Review Letters, 119(2). https://doi.org/10.1103/PhysRevLett.119.020501
MLA:
Pastawski, Fernando, Jens Eisert, and Henrik Wilming. "Towards Holography via Quantum Source-Channel Codes." Physical Review Letters 119.2 (2017).
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