An entropic analysis of approximate quantum error correction
arXiv:1308.4579 · doi:10.1016/j.physa.2014.02.070
Abstract
The concept of entropy and the correct application of the Second Law of thermodynamics are essential in order to understand the reason why quantum error correction is thermodynamically possible and no violation of the Second Law occurs during its execution. We report in this work our first steps towards an entropic analysis extended to approximate quantum error correction (QEC). Special emphasis is devoted to the link among quantum state discrimination (QSD), quantum information gain, and quantum error correction in both the exact and approximate QEC scenarios.
14 pages, no figures, improved v2. arXiv admin note: text overlap with arXiv:quant-ph/9903049 by other authors
References in corpus (8)
- Quantum Thermodynamics
- The second laws of quantum thermodynamics
- The Physics of Maxwell's demon and information
- Entropic Dynamics, Time and Quantum Theory
- Quantum state discrimination: a geometric approach
- Optimal unambiguous discrimination of two subspaces as a case in mixed state discrimination
- Information theory and Thermodynamics
- Quantum Refrigerator
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- Geometric Algebra and Information Geometry for Quantum Computational Software
- Information Geometry Aspects of Minimum Entropy Production Paths from Quantum Mechanical Evolutions
- Thermodynamic aspects of information transfer in complex dynamical systems
- Landauer Principle and Thermodynamics of Computation
- Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off
- Information Geometric Aspects of Probability Paths with Minimum Entropy Production for Quantum State Evolution