Dense quantum coding and a lower bound for 1-way quantum automata
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Quantum computation and quantum information
Quantum computation and quantum information
Quantum communication and complexity
Theoretical Computer Science - Natural computing
Exponential lower bound for 2-query locally decodable codes via a quantum argument
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Function Learning from Interpolation
Combinatorics, Probability and Computing
Cryptography In the Bounded Quantum-Storage Model
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
The Quantum Moment Problem and Bounds on Entangled Multi-prover Games
CCC '08 Proceedings of the 2008 IEEE 23rd Annual Conference on Computational Complexity
Composable Security in the Bounded-Quantum-Storage Model
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
A tight high-order entropic quantum uncertainty relation with applications
CRYPTO'07 Proceedings of the 27th annual international cryptology conference on Advances in cryptology
Number-phase uncertainty relations in terms of generalized entropies
Quantum Information & Computation
Quantum Information Processing
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We consider a range of "theories" that violate the uncertainty relation for anti-commutingobservables derived in [JMP, 49, 062105 (2008)]. We first show that Tsirelson's boundfor the CHSH inequality can be derived from this uncertainty relation, and that relaxingthis relation allows for non-local correlations that are stronger than what can be obtainedin quantum mechanics. We continue to construct a hierarchy of related non-signalingtheories, and show that on one hand they admit superstrong random access encodingsand exponential savings for a particular communication problem, while on the other handit becomes much harder in these theories to learn a state. We show that the existence ofthese effects stems from the absence of certain constraints on the expectation values ofcommuting measurements from our non-signaling theories that are present in quantumtheory.