Nonstationary curves in Hilbert spaces and their correlation functions I

1994 ◽  
Vol 19 (3) ◽  
pp. 270-289 ◽  
Author(s):  
K. Kirchev ◽  
V. Zolotarev
Keyword(s):  
Hilbert Spaces ◽  
Correlation Functions

scholarly journals Quantum Simulations of Physics Problems

2003 ◽  
Vol 01 (02) ◽  
pp. 189-206 ◽  
Author(s):  
Rolando Somma ◽  
Gerardo Ortiz ◽  
Emanuel Knill ◽  
James Gubernatis
Keyword(s):  
Physical Properties ◽  
Hilbert Spaces ◽  
Correlation Functions ◽  
Physical System ◽  
Quantum Computer ◽  
Energy Spectra ◽  
Quantum Networks ◽  
Quantum Simulations ◽  
Physical Problems ◽  
Large Quantum

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not efficiently simulate on a classical Turing machine? In this paper we argue that a QC could solve some relevant physical "questions" more efficiently. The existence of one-to-one mappings between different algebras of observables or between different Hilbert spaces allow us to represent and imitate any physical system by any other one (e.g. a bosonic system by a spin-1/2 system). We explain how these mappings can be performed, and we show quantum networks useful for the efficient evaluation of some physical properties, such as correlation functions and energy spectra.

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