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» Quantum Information and the PCP Theorem
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STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 5 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...
CORR
2011
Springer
153views Education» more  CORR 2011»
12 years 11 months ago
A short proof of the Quantum Substate Theorem
The Quantum Substate Theorem due to Jain, Radhakrishnan, and Sen [7] gives us a powerful operational interpretation of the observational divergence of two quantum states, a quanti...
Rahul Jain, Ashwin Nayak
CORR
2011
Springer
156views Education» more  CORR 2011»
12 years 8 months ago
From joint convexity of quantum relative entropy to a concavity theorem of Lieb
This paper provides a succinct proof of a 1973 theorem of Lieb that establishes the concavity of a certain trace function. The development relies on a deep result from quantum info...
Joel A. Tropp
TIT
2002
72views more  TIT 2002»
13 years 4 months ago
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
The entanglement-assisted classical capacity of a noisy quantum channel ( ) is the amount of information per channel use that can be sent over the channel in the limit of many uses...
Charles H. Bennett, Peter W. Shor, John A. Smolin,...