Designing Quantum Information Processing via Structural Physical Approximation
- Title
- Designing Quantum Information Processing via Structural Physical Approximation
- Author
- 배준우
- Keywords
- structural physical approximation; photonic quantum information; entanglement; quantum design; positive maps
- Issue Date
- 2017-09
- Publisher
- IOP PUBLISHING LTD
- Citation
- REPORTS ON PROGRESS IN PHYSICS, v. 80, No. 10, Article no. 104001
- Abstract
- In quantum information processing it may be possible to have efficient computation and secure communication beyond the limitations of classical systems. In a fundamental point of view, however, evolution of quantum systems by the laws of quantum mechanics is more restrictive than classical systems, identified to a specific form of dynamics, that is, unitary transformations and, consequently, positive and completely positive maps to subsystems. This also characterizes classes of disallowed transformations on quantum systems, among which positive but not completely maps are of particular interest as they characterize entangled states, a general resource in quantum information processing. Structural physical approximation offers a systematic way of approximating those non-physical maps, positive but not completely positive maps, with quantum channels. Since it has been proposed as a method of detecting entangled states, it has stimulated fundamental problems on classifications of positive maps and the structure of Hermitian operators and quantum states, as well as on quantum measurement such as quantum design in quantum information theory. It has developed efficient and feasible methods of directly detecting entangled states in practice, for which proof-of-principle experimental demonstrations have also been performed with photonic qubit states. Here, we present a comprehensive review on quantum information processing with structural physical approximations and the related progress. The review mainly focuses on properties of structural physical approximations and their applications toward practical information applications.
- URI
- http://iopscience.iop.org/article/10.1088/1361-6633/aa7d45/metahttps://repository.hanyang.ac.kr/handle/20.500.11754/72359
- ISSN
- 0034-4885; 1361-6633
- DOI
- 10.1088/1361-6633/aa7d45
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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