2008

Entanglement-assisted communication of classical and quantum information

Hsieh, Min-Hsiu, Wilde, Mark M.

Understand

We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel.

Our main result is a capacity theorem that gives a three-dimensional achievable rate region.
Points in the region are rate triples, consisting of the classical communication rate, the quantum communication rate, and the entanglement consumption rate of a particular coding scheme.
The crucial protocol in achieving the boundary points of the capacity region is a protocol that we name the classically-enhanced father protocol.

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Similar

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I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Transactions on Information Theory , vol. 51, pp. 44–55, January 2005
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Then

J. Yard, “Simultaneous classical-quantum capacities of quantum multiple access channels,” Ph.D. dissertation, Stanford University (arXiv:quant-ph/0506050), June 2005
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——, “A resource framework for quantum Shannon theory,” IEEE Transactions on Information Theory , vol. 54, no. 10, pp. 4587–4618, October 2008
2008
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J. Oppenheim, “State redistribution as merging: introducing the coherent relay,” arXiv:0805.1065 , 2008
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2008
Closest in time.
M.-H. Hsieh, I. Devetak, and A. Winter, “Entanglement-assisted capacity of quantum multiple-access channels,” IEEE Transactions on Information Theory , vol. 54, no. 7, pp. 3078–3090, 2008
2008
Closest in time.
I. Kremsky, M.-H. Hsieh, and T. A. Brun, “Classical enhancement of quantum-error-correcting codes,” Physical Review A , vol. 78, no. 1, p. 012341, 2008
2008
Closest in time.
M. M. Wilde and T. A. Brun, “Unified quantum convolutional coding,” in Proceedings of the IEEE International Symposium on Information Theory (arXiv:0801.0821) , July 2008, pp. 359–363
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2008
Closest in time.
J. Yard, P. Hayden, and I. Devetak, “Capacity theorems for quantum multiple-access channels: Classical-quantum and quantum-quantum capacity regions,” IEEE Transactions on Information Theory , vol. 54, no. 7, pp. 3091–3113, July 2008
2008
Closest in time.
M.-H. Hsieh, Z. Luo, and T. Brun, “Secret-key-assisted private classical communication capacity over quantum channels,” Physical Review A , vol. 78, no. 4, p. 042306, 2008
2008
Closest in time.
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter, “The mother of all protocols: restructuring quantum information’s family tree,” Proceedings of the Royal Society A , vol. 465, no. 2108, pp. 2537–2563, 2009
2009
Closest in time.
M.-H. Hsieh and M. M. Wilde, “Trading classical communication, quantum communication, and entanglement in quantum Shannon theory,” arXiv:0901.3038 , 2009
Original
2009
Closest in time.
J. Yard and I. Devetak, “Optimal quantum source coding with quantum information at the encoder and decoder,” IEEE Transactions on Information Theory , vol. 55, no. 11, pp. 5339–5351, November 2009
2009
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K. Brádler, P. Hayden, D. Touchette, and M. M. Wilde, “Trade-off capacities of the quantum Hadamard channels,” arXiv:1001.1732 , January 2010
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2010
Closest in time.

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