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» Complexity Limitations on Quantum Computation
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STACS
2009
Springer
14 years 2 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
ASPDAC
2005
ACM
80views Hardware» more  ASPDAC 2005»
13 years 9 months ago
Synthesis of quantum logic circuits
— The pressure of fundamental limits on classical computation and the promise of exponential speedups from quantum effects have recently brought quantum circuits to the attention...
Vivek V. Shende, Stephen S. Bullock, Igor L. Marko...
COCO
2004
Springer
104views Algorithms» more  COCO 2004»
14 years 1 months ago
Quantum Arthur-Merlin Games
This paper studies quantum Arthur–Merlin games, which are Arthur–Merlin games in which Arthur and Merlin can perform quantum computations and Merlin can send Arthur quantum in...
Chris Marriott, John Watrous
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 8 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...
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
14 years 2 months ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman