An upper bound on the second order asymptotic expansion for the quantum communication cost of state redistribution

Journal Article · Sun May 15 00:00:00 EDT 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4949571· OSTI ID:22596838

Datta, Nilanjana ^[1]; Hsieh, Min-Hsiu ^[2]; Oppenheim, Jonathan ^[3]

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1. Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
2. Centre for Quantum Computation and Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology Sydney, NSW 2007 (Australia)
3. Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT (United Kingdom)

State redistribution is the protocol in which given an arbitrary tripartite quantum state, with two of the subsystems initially being with Alice and one being with Bob, the goal is for Alice to send one of her subsystems to Bob, possibly with the help of prior shared entanglement. We derive an upper bound on the second order asymptotic expansion for the quantum communication cost of achieving state redistribution with a given finite accuracy. In proving our result, we also obtain an upper bound on the quantum communication cost of this protocol in the one-shot setting, by using the protocol of coherent state merging as a primitive.

• OSTI ID: 22596838
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 5; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM STATES