Quantum simulations of physics problems

Rolando D. Somma; Gerardo Ortiz; Emanuel H. Knill; James Gubernatis

doi:10.1117/12.487249

4 August 2003 Quantum simulations of physics problems

Rolando D. Somma, Gerardo Ortiz, Emanuel H. Knill, James Gubernatis

Proceedings Volume 5105, Quantum Information and Computation; (2003) https://doi.org/10.1117/12.487249
Event: AeroSense 2003, 2003, Orlando, Florida, United States

Abstract

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not 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 showing quantum networks useful for the efficient evaluation of some physical properties, such as correlation functions and energy spectra.

Citation Download Citation

Rolando D. Somma, Gerardo Ortiz, Emanuel H. Knill, and James Gubernatis "Quantum simulations of physics problems", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); https://doi.org/10.1117/12.487249

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available