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Rank Two Bipartite Bound Entangled States Do Not Exist
Pawel Horodecki, John A. Smolin, Barbara M. Terhal +1
We explore the relation between the rank of a bipartite density matrix and the existence of bound entanglement. We show a relation between the rank, marginal ranks, and distillabil…
Evidence for Bound Entangled States with Negative Partial Transpose
David P. DiVincenzo, Peter W. Shor, John A. Smolin +2
We exhibit a two-parameter family of bipartite mixed states , in a Hilbert space, which are negative under partial transposition (NPT), but for which we conjec…
Exact and Asymptotic Measures of Multipartite Pure State Entanglement
Charles H. Bennett, Sandu Popescu, Daniel Rohrlich +2
In an effort to simplify the classification of pure entangled states of multi (m) -partite quantum systems, we study exactly and asymptotically (in n) reversible transformations am…
Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement
David P. DiVincenzo, Tal Mor, Peter W. Shor +2
We report new results and generalizations of our work on unextendible product bases (UPB), uncompletable product bases and bound entanglement. We present a new construction for bou…
Physical Optimization of Quantum Error Correction Circuits
Guido Burkard, Daniel Loss, David P. DiVincenzo +1
Quantum error correcting codes have been developed to protect a quantum computer from decoherence due to a noisy environment. In this paper, we present two methods for optimizing t…
Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
Charles H. Bennett, Peter W. Shor, John A. Smolin +1
Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quant…