期刊
JOURNAL OF CHEMICAL PHYSICS
卷 130, 期 19, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3115177
关键词
lattice theory; many-body problems; mathematical operators; polynomials; quantisation (quantum theory); quantum computing; wave functions
资金
- Army Research Office [W911NF-07-0304]
- Harvard College Research Program
- Joyce and Zlatko Balokovic scholarship
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.
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