Nonadditivity of quantum capacity for multiparty communication channels.

We investigate multiparty communication scenarios where information is sent from several senders to several receivers. We establish a relation between the quantum capacity of multiparty communication channels and their distillability properties, which enables us to show that the quantum capacity of such channels is not additive.

[1]  Paweł Horodecki,et al.  On entanglement distillation and quantum error correction for unknown states and channels , 2003 .

[2]  J. Cirac,et al.  Entangling operations and their implementation using a small amount of entanglement. , 2000, Physical review letters.

[3]  S. Popescu,et al.  Generic quantum nonlocality , 1992 .

[4]  J. Cirac,et al.  Activating bound entanglement in multiparticle systems , 2000, quant-ph/0002028.

[5]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[6]  Pérès Separability Criterion for Density Matrices. , 1996, Physical review letters.

[7]  M. Horodecki,et al.  Universal Quantum Information Compression , 1998, quant-ph/9805017.

[8]  Charles H. Bennett,et al.  Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[9]  M. Horodecki,et al.  Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? , 1998, quant-ph/9801069.

[10]  Jozsa,et al.  General fidelity limit for quantum channels. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[11]  P. Horodecki,et al.  On Mixed States Entanglement and Quantum Communication: Aspects of Quantum Channels Theory , 2002 .

[12]  J. Cirac,et al.  Classification of multiqubit mixed states: Separability and distillability properties , 1999, quant-ph/9911044.

[13]  Howard Barnum,et al.  On quantum fidelities and channel capacities , 2000, IEEE Trans. Inf. Theory.

[14]  Benjamin Schumacher,et al.  A new proof of the quantum noiseless coding theorem , 1994 .

[15]  P. Shor,et al.  Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement , 1999, quant-ph/9908070.