Sciweavers

16 search results - page 1 / 4
» Quantum Information and the PCP Theorem
Sort
View
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
15 years 10 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»
14 years 4 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
82
Voted
CORR
2011
Springer
156views Education» more  CORR 2011»
14 years 1 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»
14 years 9 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,...