No-Go Theorem for Gaussian Quantum Error Correction
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- 24 March 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 102 (12), 120501
- https://doi.org/10.1103/physrevlett.102.120501
Abstract
We prove that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called entanglement degradation, and show that it cannot decrease via Gaussian encoding and decoding operations only. The strength of this no-go theorem is illustrated with some examples of Gaussian channels.Keywords
This publication has 21 references indexed in Scilit:
- Generating Optical Schrödinger Kittens for Quantum Information ProcessingScience, 2006
- Unconditional Quantum Cloning of Coherent States with Linear OpticsPhysical Review Letters, 2005
- Distillation of continuous-variable entanglement with optical meansAnnals of Physics, 2004
- Quantum key distribution using gaussian-modulated coherent statesNature, 2003
- Characterization of Gaussian operations and distillation of Gaussian statesPhysical Review A, 2002
- Distilling Gaussian States with Gaussian Operations is ImpossiblePhysical Review Letters, 2002
- Gaussian Transformations and Distillation of Entangled Gaussian StatesPhysical Review Letters, 2002
- Analog Quantum Error CorrectionPhysical Review Letters, 1998
- Error Correction for Continuous Quantum VariablesPhysical Review Letters, 1998
- Mixed-state entanglement and quantum error correctionPhysical Review A, 1996