Optimal Trading of Classical Communication, Quantum Communication, and Entanglement Mark M. Wilde arXiv:0901.3 038 ERATO-SORST Min-Hsiu Hsieh 4 th Workshop on the Theory of Quantum Computation, Communication and Cryptography, Wednesday, May 13, 2009 SAIC
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Optimal Trading of Classical Communication , Quantum Communication , and Entanglement
Optimal Trading of Classical Communication , Quantum Communication , and Entanglement. Min-Hsiu Hsieh. ERATO-SORST. Mark M. Wilde. SAIC. arXiv:0901.3038. 4 th Workshop on the Theory of Quantum Computation, Communication and Cryptography, Wednesday, May 13, 2009. Overview. - PowerPoint PPT Presentation
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Optimal Trading ofClassical Communication,
Quantum Communication, and Entanglement
Mark M. Wilde
arXiv:0901.3038
ERATO-SORST
Min-Hsiu Hsieh
4th Workshop on the Theory of Quantum Computation, Communication and Cryptography, Wednesday, May 13, 2009
SAIC
• Quantum Shannon theory
Overview
• Prior research
• Unit Resource Capacity Region
• Dynamic Setting
• Static Setting
• Implications for Quantum Coding Theory
Quantum Shannon TheoryQuantum information has three fundamentally different resources:
1. Quantum bit (qubit)
2. Classical bit (cbit)
3. Entangled bit (ebit)
Quantum Shannon theory—consume or generate these different resources with the help of
1. Noisy quantum channel (dynamic setting)
2. Shared noisy quantum state (static setting)
I. Devetak, A. Harrow, A. Winter, IEEE Trans. Information Theory vol. 54, no. 10, pp. 4587-4618, Oct 2008