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» Quantum Computation and Lattice Problems
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FOCS
2009
IEEE
14 years 2 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani
DATE
2010
IEEE
131views Hardware» more  DATE 2010»
14 years 23 days ago
Spinto: High-performance energy minimization in spin glasses
—With the prospect of atomic-scale computing, we study cumulative energy profiles of spin-spin interactions in nonferromagnetic lattices (Ising spin-glasses)—an established to...
Héctor J. Garcia, Igor L. Markov
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
FSTTCS
1998
Springer
13 years 12 months ago
Alternative Computational Models: A Comparison of Biomolecular and Quantum Computation
Molecular Computation (MC) is massively parallel computation where data is stored and processed within objects of molecular size. Biomolecular Computation (BMC) is MC using biotec...
John H. Reif
CORR
2000
Springer
81views Education» more  CORR 2000»
13 years 7 months ago
Poly-locality in quantum computing
A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state space. It is a reasonable belief [Fe], [L], [FKW] that, at ...
Michael H. Freedman