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Unlike its classical counterpart, the quantum conditional entropy can be negative. In this case, the sender can transfer the state to the receiver using no entanglement, and as an added bonus, this amount of entanglement can be gained, rather than used. Thus quantum information can be negative.
20:, quantum state merging is the transfer of a quantum state when the receiver already has part of the state. The process optimally transfers partial information using entanglement and classical communication. It allows for sending information using an amount of entanglement given by the
293:. The case where the classical communication is replaced by quantum communication was considered in. This is known as the Fully Quantum Slepian-Wolf Theorem, since everything is sent down the
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Abeyesinghe, A.; Devetak, I.; Hayden, P; Winter, A. (2009). "The mother of all protocols: restructuring quantum information's family tree".
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Horodecki, M.; Oppenheim, J.; Winter, A. (2007). "Quantum state merging and negative information".
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Madhok, V.; Datta, A. (2011). "Interpreting quantum discord through quantum state merging".
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Horodecki, M.; Oppenheim, J.; Winter, A. (2005). "Partial quantum information".
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Dutil, N.; Hayden, P. (2010). "One-shot
Multiparty State Merging".
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Berta, M. (2009). "Single-shot quantum state merging".
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193:{\displaystyle H(A):=-Tr\rho _{A}\log \rho _{A}}
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440:(2108): 2537–2563.
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342:2005Natur.436..673H
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513:1011.1974
492:0912.4495
419:119421959
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182:ρ
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166:ρ
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72:−
581:Category
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358:16079840
547:Bibcode
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399:Bibcode
366:4413693
338:Bibcode
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320:Nature
563:S2CID
537:arXiv
508:arXiv
487:arXiv
468:S2CID
442:arXiv
415:S2CID
389:arXiv
362:S2CID
328:arXiv
100:with
354:PMID
129:the
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460:doi
438:465
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385:269
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324:436
175:log
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