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» A short proof of the Quantum Substate Theorem
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CORR
2011
Springer
153views Education» more  CORR 2011»
14 years 6 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
2010
Springer
137views Education» more  CORR 2010»
14 years 10 months ago
Quantum interactive proofs with short messages
This paper considers three variants of quantum interactive proof systems in which short (meaning logarithmic-length) messages are exchanged between the prover and verifier. The ...
Salman Beigi, Peter W. Shor, John Watrous
92
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ICALP
2003
Springer
15 years 4 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
IPL
2000
77views more  IPL 2000»
14 years 11 months ago
Simplified proof of the Fourier Sampling Theorem
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
Peter Høyer