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Journal

2003 | 1 | 4 | 695-707

Article title

On entanglement distillation and quantum error correction for unknown states and channels

Authors

Content

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Languages of publication

EN

Abstracts

EN
We consider the problem of invariance of distillable entanglement D and quantum capacities Q under erasure of information about single copy of quantum state or channel respectively. We argue that any 2 ⊗N two-way distillable state is still two-way distillable after erasure of single copy information. For some known distillation protocols the obtained two-way distillation rate is the same as if Alice and Bob knew the state from the very beginning. The isomorphism between quantum states and quantum channels is also investigated. In particular it is pointed out that any transmission rate down the channel is equal to distillation rate with formal LOCC-like superoperator that uses in general nonphysical Alice actions. This allows to we prove that if given channel Λ has nonzero capacity (Q
→ or Q
⟺) then the corresponding quantum state ϱ(Λ) has nonzero distillable entanglement (D
→ or D
⟺). Follwoing the latter arguments are provided that any channel mapping single qubit into N level system allows for reliable two-way transmission after erasure of information about single copy. Some open problems are discussed.

Publisher

Journal

Year

Volume

1

Issue

4

Pages

695-707

Physical description

Dates

published
1 - 12 - 2003
online
1 - 12 - 2003

Contributors

  • Facully of Applied Physics and Mathematics, Gdańsk University of Technology, 80-952, Gdańsk, Poland

References

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_BF02475911
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