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Ultimate precision of direct tomography of wave functions

Authors
Xuan-Hoai Thi NguyenChoi, Mahn-Soo
Issue Date
7월-2021
Publisher
SPRINGER
Keywords
Tomography; Quantum metrology; Heisenberg limit
Citation
QUANTUM INFORMATION PROCESSING, v.20, no.7
Indexed
SCIE
SCOPUS
Journal Title
QUANTUM INFORMATION PROCESSING
Volume
20
Number
7
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/127752
DOI
10.1007/s11128-021-03167-0
ISSN
1570-0755
Abstract
In contrast to the standard quantum state tomography, the direct tomography seeks a direct access to the complex values of the wave function at particular positions. Originally put forward as a special case of weak measurement, it has been extended to arbitrary measurement setup. We generalize the idea of "quantum metrology," where a real-valued phase is estimated, to the estimation of complex-valued phase. We show that it enables to identify the optimal measurements and investigate the fundamental precision limit of the direct tomography. We propose a few experimentally feasible examples of direct tomography schemes and, based on the complex phase estimation formalism, demonstrate that direct tomography can reach the Heisenberg limit.
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