Estimating a quantum state of a quantum mechanical system
US8315969B2 · kind B2 · utility
Assignee
Inventor
Key dates
| Filing date | Feb 17, 2009 |
| Grant date | Nov 20, 2012 |
| Priority date | — |
| Expiry date | Apr 30, 2031 |
Classification
- Technology area (CPC B)Performing Operations; Transporting
- CPC primaryB82Y10/00
- WIPO fieldMicro-structural and nano-technology
- WIPO sectorChemistry
Abstract
A method includes performing quantum state tomography from the statistics of a collection of measurements, each of which has only two possible outcomes and has the feature of being a measurement of a single qubit. By carefully choosing the measurements it becomes possible to infer the state of a quantum system from the statistics. Moreover, the function which computes the state from the measurement statistics can be computed efficiently in the dimension of the underlying system. Reconstructing the quantum state is performed in accordance with the following expression:where d is the dimension of the quantum mechanical system, ρ is the state of the quantum mechanical system, Id denotes the identity operator, Pi is one of the plurality of measurement projectors, and pi is the probability for the measurement projector Pi.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.