Preparation of many-body states for quantum simulation

Journal Article · Thu May 21 00:00:00 EDT 2009 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.3115177· OSTI ID:21559717

Ward, Nicholas J; Kassal, Ivan; Aspuru-Guzik, Alan ^[1]

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1. Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138 (United States)

While quantum computers are capable of simulating many quantum systems efficiently, the simulation algorithms must begin with the preparation of an appropriate initial state. We present a method for generating physically relevant quantum states on a lattice in real space. In particular, the present algorithm is able to prepare general pure and mixed many-particle states of any number of particles. It relies on a procedure for converting from a second-quantized state to its first-quantized counterpart. The algorithm is efficient in that it operates in time that is polynomial in all the essential descriptors of the system, the number of particles, the resolution of the lattice, and the inverse of the maximum final error. This scaling holds under the assumption that the wave function to be prepared is bounded or its indefinite integral is known and that the Fock operator of the system is efficiently simulatable.

• OSTI ID: 21559717
• Journal Information: Journal of Chemical Physics, Vol. 130, Issue 19; Other Information: DOI: 10.1063/1.3115177; (c) 2009 American Institute of Physics; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ERRORS
INTEGRALS
LATTICE FIELD THEORY
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
PARTICLES
POLYNOMIALS
QUANTIZATION
QUANTUM COMPUTERS
QUANTUM STATES
RESOLUTION
SIMULATION
WAVE FUNCTIONS
COMPUTERS
CONSTRUCTIVE FIELD THEORY
FIELD THEORIES
FUNCTIONS
MATHEMATICAL LOGIC
QUANTUM FIELD THEORY